# Patent

## Title
Method of, and apparatus for, measuring the mass flow rate of a gas

## Abstract

There is provided a meter for measuring the mass flow rate of a gas, the meter comprising a conduit through which the gas flows in use, the conduit having a flow restriction orifice through which choked flow occurs in use, the flow restriction orifice dividing the conduit into an upstream portion upstream of said orifice and a downstream portion downstream of said orifice, the meter further comprising a sensor assembly including a first piezoelectric crystal oscillator in said upstream portion such that said first piezoelectric oscillator is in contact with said gas when the meter in use, a second piezoelectric crystal oscillator in said downstream portion such that said second piezoelectric oscillator is in contact with said gas when the meter in use, said sensor assembly being arranged: to drive the first and second piezoelectric crystal oscillators such that each of the first and second piezoelectric crystal oscillators resonate at respective resonant frequencies; to measure the resonant frequency of the first piezoelectric oscillator and the resonant frequency of resonant frequency of the first piezoelectric oscillator and the the second piezoelectric oscillator; and to determine, from the resonant frequency of the second piezoelectric oscillator, the mass flow rate of gas through said orifice.

## Background
The present invention relates a method of, and apparatus for, measuring the mass flow rate of a gas. More particularly, the present invention relates to a method of, and apparatus for, measuring the mass flow of a gas through a flow restriction orifice using a piezoelectric oscillator.
The methods and apparatus described herein can be applied to systems where fluids of relatively high pressure (e.g. about 10 bar or higher) are present, such as for example, the supply of fluids in high pressure cylinders or manufacturing plants utilising high pressure fluids. The present invention relates particularly to “clean” gases, i.e. gases with little or no impurities or contaminants such as water vapour or dust.
The present invention is particularly applicable to permanent gases. Permanent gases are gases which cannot be liquefied by pressure alone, and for example can be supplied in cylinders at pressures up to 450 bar g (where bar g is a measure of the pressure above atmospheric pressure). Examples are Argon and Nitrogen. However, this is not to be taken as limiting and the term gas may be considered to encompass a wider range of gases, for example, both a permanent gas and a vapour of a liquefied gas.
Vapours of liquefied gases are present above the liquid in a compressed gas cylinder. Gases which liquefy under pressure as they are compressed for filling into a cylinder are not permanent gases and are more accurately described as liquefied gases under pressure or as vapours of liquefied gases. As an example, nitrous oxide is supplied in a cylinder in liquid form, with an equilibrium vapour pressure of 44.4 bar g at 15° C. Such vapours are not permanent or true gases as they are liquefiable by pressure or temperature around ambient conditions.
A compressed gas cylinder is a pressure vessel designed to contain gases at high pressures, i.e. at pressures significantly greater than atmospheric pressure. Compressed gas cylinders are used in a wide range of markets, from the low cost general industrial market, through the medical market, to higher cost applications, such as electronics manufacture utilising high purity corrosive, toxic or pyrophoric speciality gases. Commonly, pressurised gas containers comprise steel, aluminium or composites and are capable of storing compressed, liquefied or dissolved gases with a maximum filling pressure up to 450 bar g for most gases, and up to 900 bar g for gases such as hydrogen and helium.
In order to dispense gases effectively and controllably from a gas cylinder or other pressure vessel, a valve or regulator is required. Often the two are combined to form a Valve with Integrated Pressure Regulator (VIPR). The regulator is able to regulate the flow of the gas such that the gas is dispensed at a constant, or user variable, pressure.
For many applications, it is desirable to know the flow rate of gas from a gas cylinder. This may be critical for many applications; for example, medical applications.
A number of different mass flow meter arrangements are known.
A class of mass flow meters that are commonly used in many industrial applications are mechanical mass flow meters. Such meters include mechanical components which move or rotate to measure mass flow. One such type is the inertial flow meter (or coriolis flow meter) which measures fluid flow through the effect of the fluid on shaped tubes. Coriolis meters can handle a wide range of flow rates with high accuracy. However, in order to detect the flow rate, complex systems are required such as actuation, sensing, electronic and computational features.
Alternative mechanical-type mass flow meters are diaphragm meters, rotary meters and turbine meters. However, these types of meters are generally less accurate and involve moving parts which may be subject to wear. Further, meters such as rotary meters are only useful for measuring relatively low flow rates.
An alternative class of mass flow meters are electronic flow meters. Two main types are thermal meters and ultrasonic meters. Thermal flow meters measure the heat transfer through a heated tube to measure flow rate. Ultrasonic flow meters measure the speed of sound in a gaseous medium, sometimes averaging the speed of sound over multiple paths within the pipe. However, both types of electronic flow meter generally require significant signal processing hardware and are generally high-cost items.
According to a first aspect of the present invention, there is provided a method of measuring the mass flow rate of a gas through an orifice, the method using a first piezoelectric oscillator in contact with the gas upstream of the orifice and a second piezoelectric oscillator in contact with the gas downstream of the orifice and comprising; a) driving the first and second piezoelectric crystal oscillators such that each of the first and second piezoelectric crystal oscillators resonate at respective resonant frequencies; b) measuring the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator; and c) determining, from the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator, the mass flow rate of gas through said orifice.
By providing such a method, the mass flow rate of a gas through a restrictive orifice can easily be determined using a robust and relatively inexpensive piezoelectric crystal oscillator, for example, a quartz crystal oscillator. The piezoelectric crystal oscillator will oscillate at a resonant frequency which is dependent upon the density of the gas in which the oscillator is immersed. Since, under choked flow conditions, the density of the gas upstream of the orifice is proportional to the mass flow rate through the orifice, a crystal oscillator can be utilised to measure mass flow rate. Further, by providing a further crystal oscillator downstream of the orifice, a more accurate measurement can be achieved.
Such an oscillator functions both as an excitation source (by oscillating in response to being driven by a drive circuit) and a detector (by having a single resonant frequency which is dependent upon the environment in which the oscillator is located). Additionally, a crystal oscillator is robust and, as a result, is relatively unaffected by environmental disturbances. Further, the components which are required to operate such an oscillator are compact and low cost.
In one embodiment, step c) further comprises: d) determining, from the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator, the density of gas upstream of the orifice and the density of the gas downstream of the orifice.
In one embodiment, step c) further comprises: d) determining the ratio of the density of the gas upstream of the orifice to the density of the gas downstream of the orifice.
In one embodiment, when the ratio is at or above a predetermined value, the flow through said orifice is determined to be choked and the mass flow rate is calculated from the density of the gas upstream of the orifice alone.
In one embodiment, when the ratio is below a predetermined value, the mass flow rate is calculated from the density of the gas upstream of the orifice and from the density of the gas downstream of the orifice.
In one embodiment, when the ratio is below a predetermined value, the mass flow rate is calculated from the density of the gas upstream of the orifice alone and the method further comprises the step of: e) providing a notification that the determination of mass flow rate may comprise errors.
In one embodiment, the gas is dispensed from a pressure regulator or valve located upstream of the piezoelectric crystal oscillator.
In one embodiment, the pressure regulator or valve is electronically controlled in response to the measured mass flow rate of gas through said orifice.
In one embodiment, the method further comprises determining the temperature of the gas upstream of the orifice.
In one arrangement, the gas is dispensed from a pressure regulator or valve located upstream of the piezoelectric crystal oscillator.
In one arrangement, the pressure regulator is electronically controlled in response to the measured mass flow rate of gas through said orifice.
In one embodiment, said piezoelectric oscillator comprises a quartz crystal oscillator.
In an embodiment, the quartz crystal comprises at least one time. In a variation, the quartz crystal comprises a pair of planar tines.
In an embodiment, the quartz crystal is AT cut or SC cut.
In a variation, the surface of the quartz crystal is directly exposed to the gas.
According to a second aspect of the present invention, there is provided a meter for measuring the mass flow rate of a gas, the meter comprising a conduit through which the gas flows in use, the conduit having a flow restriction orifice through which choked flow occurs in use, the flow restriction orifice dividing the conduit into an upstream portion upstream of said orifice and a downstream portion downstream of said orifice, the meter further comprising a sensor assembly including a first piezoelectric crystal oscillator in said upstream portion such that said first piezoelectric oscillator is in contact with said gas when the meter in use, a second piezoelectric crystal oscillator in said downstream portion such that said second piezoelectric oscillator is in contact with said gas when the meter in use, said sensor assembly being arranged: to drive the first and second piezoelectric crystal oscillators such that each of the first and second piezoelectric crystal oscillators resonate at respective resonant frequencies; to measure the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator; and to determine, from the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator, the mass flow rate of gas through said orifice.
By providing such an arrangement, the mass flow rate of a gas through a restrictive orifice can easily be determined using a robust and relatively inexpensive piezoelectric crystal oscillator, for example, a quartz crystal oscillator. The piezoelectric crystal oscillator will oscillate at a resonant frequency which is dependent upon the density of the gas in which the oscillator is immersed. Since, under choked flow conditions, the density of the gas upstream of the flow restriction orifice is proportional to the mass flow rate through the orifice, a crystal oscillator can be utilised to measure mass flow rate. Further, by providing a further crystal oscillator downstream of the orifice, a more accurate measurement can be achieved.
Such an oscillator functions both as an excitation source (by oscillating in response to being driven by a drive circuit) and a detector (by having a single resonant frequency which is dependent upon the environment in which the oscillator is located). Additionally, a crystal oscillator is robust and, as a result, is relatively unaffected by environmental disturbances. Further, the components which are required to operate such an oscillator are compact and low cost.
In one embodiment, the sensor assembly comprises a drive circuit. In a variation, the sensor assembly comprises a drive circuit comprising a Darlington pair arranged in a feedback configuration from a common emitter amplifier.
In one embodiment, the sensor assembly comprises a power source. In one arrangement, the power source comprises a lithium-ion battery.
In one embodiment, the sensor assembly comprises a processor.
In one arrangement, said piezoelectric crystal oscillator comprises at least two planar tines.
In one embodiment, said piezoelectric crystal oscillator has a resonant frequency of 32 kHz or greater.
In one arrangement, the meter further comprises one or more of a drive circuit, a processor and a power source.
In one embodiment, said piezoelectric oscillator comprises a quartz crystal oscillator.
In an embodiment, the quartz crystal comprises at least one time. In a variation, the quartz crystal comprises a pair of planar tines.
In an embodiment, the quartz crystal is AT cut or SC cut.
In a variation, the surface of the quartz crystal is directly exposed to the gas.
In one embodiment, the sensor assembly comprises a drive circuit. In a variation, the sensor assembly comprises a drive circuit comprising a Darlington pair arranged in a feedback configuration from a common emitter amplifier.
In one embodiment, the sensor assembly comprises a power source. In one arrangement, the power source comprises a lithium-ion battery.
In one embodiment, the sensor assembly comprises a processor.
In one arrangement, the drive circuit comprises a Darlington pair arranged in a feedback configuration from a common emitter amplifier.
In one arrangement, the meter further comprises a temperature sensor arranged to determine the temperature of gas adjacent said piezoelectric oscillator.
In one arrangement, the meter is arranged downstream of a pressure regulator or valve.
In a further arrangement, the meter is arranged to control electronically the pressure regulator or valve in response to the measured mass flow rate through the flow restriction orifice.
In one arrangement, said piezoelectric crystal oscillator comprises at least two planar tines.
In one arrangement, said piezoelectric crystal oscillator has a resonant frequency of 32 kHz or greater.
According to a third embodiment of the present invention, there is provided a computer program product executable by a programmable processing apparatus, comprising one or more software portions for performing the steps of the first aspect.
According to a fourth embodiment of the present invention, there is provided a computer usable storage medium having a computer program product according to the fourth aspect stored thereon.



Embodiments of the present invention will now be described in detail with reference to the accompanying drawings, in which:
FIG. 1 is a schematic diagram of a gas cylinder and regulator assembly;
FIG. 2 is a schematic diagram showing a regulator assembly and a meter assembly according to a first embodiment of the invention;
FIG. 3 shows a graph of quartz crystal frequency (kHz) on the Y-axis as a function of density (kg/m3) for a number of different gases;
FIG. 4 shows a graph of quartz crystal frequency (kHz) on the Y-axis as a function of mass flow rate (in liters/min) through an orifice;
FIG. 5 shows a graph of flow rate as a function of density/pressure for measured values and for two predictive models;
FIG. 6 shows a graph of flow rate as a function of density/pressure for a predicted model and two extremes of operational behaviour;
FIG. 7 is a schematic diagram showing a regulator assembly and a controller assembly according to a second embodiment of the invention;
FIG. 8 is a schematic diagram showing a regulator assembly and a controller assembly according to a third embodiment of the invention;
FIG. 9 is a schematic diagram of a drive circuit for use with either of the first to third embodiments;
FIG. 10 is a schematic diagram showing an alternative the drive circuit for use with either of the first to third embodiments;
FIG. 11 is a schematic diagram showing a further alternative the drive circuit for use with either of the first to third embodiments;
FIG. 12 is a schematic diagram showing a regulator drive circuit for use with either of the second or third embodiments;
FIG. 13 is a flow chart illustrating a method of operation of the first embodiment;
FIG. 14 is a flow chart illustrating a method of operation of the second or third embodiments;
FIG. 15 shows a graph of the frequency behaviour of different crystal types;
FIG. 16 is a schematic diagram showing an alternative sensor assembly comprising two quartz crystals; and
FIG. 17 shows an alternative arrangement using a remote electronic data unit.



FIG. 1 shows a schematic view of a gas cylinder assembly 10 according to an embodiment of the invention. FIG. 1 shows a schematic view of a situation in which the present invention may be used. A gas cylinder 100, regulator 150 and meter assembly 200 are provided.
The gas cylinder 100 has a gas cylinder body 102 and a valve 104. The gas cylinder body 102 comprises a generally cylindrical pressure vessel having a flat base 102a arranged to enable the gas cylinder assembly 10 to stand unsupported on a flat surface.
The gas cylinder body 102 is formed from steel, aluminium and/or composites material and is adapted and arranged to withstand internal pressures up to approximately 900 bar g. An aperture 106 is located at a proximal end of the gas cylinder body 102 opposite to the base 102a and comprises a screw thread (not shown) adapted to receive the valve 104.
The gas cylinder 100 defines a pressure vessel having an internal volume V. Any suitable fluid may be contained within the gas cylinder 100. However, the present embodiment relates, but is not exclusively limited to, purified permanent gases which are free from impurities such as dust and/or moisture. Non-exhaustive examples of such gases may be: Oxygen, Nitrogen, Argon, Helium, Hydrogen, Methane, Nitrogen Trifluoride, Carbon Monoxide, Carbon Dioxide, Krypton, Neon or mixtures thereof which behave in the manner of permanent gases.
The valve 104 comprises a housing 108, an outlet 110, a valve body 112 and a valve seat 114. The housing 108 comprises a complementary screw thread for engagement with the aperture 106 of the gas cylinder body 102. The outlet 110 is adapted and arranged to enable the gas cylinder 100 to be connected to other components in a gas assembly; for example, hoses, pipes, or further pressure valves or regulators. The valve 104 may, optionally, comprise a VIPR (Valve with Integrated Pressure Reduction). In this situation, the regulator 150 may be omitted.
The valve body 112 can be axially adjusted towards or away from the valve seat 114 by means of rotation of a graspable handle 116 selectively to open or to close the outlet 110. In other words, movement of the valve body 112 towards or away from the valve seat 112 selectively controls the area of the communication passageway between the interior of the gas cylinder body 102 and the outlet 110. This, in turn, controls the flow of gas from the interior of the gas cylinder assembly 100 to the external environment.
A regulator 150 is located downstream of the outlet 110. The regulator 150 has an inlet 152 and an outlet 154. The inlet 152 of the regulator 150 is connected to an inlet pipe 156 which provides a communication path between the outlet 110 of the gas cylinder 100 and the regulator 150. The inlet 152 of the regulator 150 is arranged to receive gas at a high pressure from the outlet 110 of the gas cylinder 100. This may be any suitable pressure; however, generally, the pressure of gas exiting the outlet 110 will be in excess of 20 bar and more likely to be in the region of 100-900 bar.
The outlet 154 is connected to an outlet pipe 158. A coupling 160 is located at the distal end of the outlet pipe 158 and is adapted for connection to further pipes or devices (not shown) for which the gas is required.
A meter assembly 200 is located in communication with the outlet pipe 158 between the outlet 154 and the coupling 160. The meter assembly 200 is located immediately downstream of the regulator 150 and is arranged to determine the mass flow rate of the gas delivered to the outlet 160.
The regulator 150 and meter assembly 200 according to a first embodiment of the present invention are shown in greater detail in FIG. 2.
In this embodiment, the regulator 150 comprises a single diaphragm regulator. However, the skilled person would be readily aware of variations that could be used with the present invention; for example, a two diaphragm regulator or other arrangement.
The regulator 150 comprises a valve region 162 in communication with the inlet 152 and outlet 154. The valve region 162 comprises a poppet valve 164 located adjacent a valve seat 166. The poppet valve 164 is connected to a diaphragm 168 which is configured to enable translational movement of the poppet valve 164 towards and away from the valve seat 166 to close and open respectively an aperture 170 therebetween. The diaphragm 168 is resiliently biased by a spring 172 located about a shaft 174.
The regulator 150 is operable to receive gas from the outlet 110 at full cylinder pressure (e.g. 100 bar), but to deliver gas at a substantially constant fixed low pressure (e.g. 5 bar) to the outlet 154. This is achieved by a feedback mechanism whereby the pressure of gas downstream of the aperture 170 is operable to act on the diaphragm 168 in opposition to the biasing force of the spring 172.
Should the pressure of gas in the region adjacent the diaphragm 168 exceed the specified level, the diaphragm 168 is operable to move upwards (relative to FIG. 2). As a result, the poppet valve 164 is moved closer to the valve seat 166, reducing the size of the aperture 170 and, consequently, restricting flow of gas from the inlet 152 to the outlet 154. In general, the competing forces of the resistance of the spring 172 and the pressure of the gas will result in an equilibrium position of the diaphragm and, consequently, delivery of a constant pressure of gas at the outlet 154.
A graspable handle 176 is provided to enable a user to adjust the biasing force of the spring 172, thereby moving the position of the diaphragm 168 and, as a result, adjusting the equilibrium spacing between the poppet valve 164 and the valve seat 166. This enables adjustment of the dimensions of the aperture 170 through which the high pressure gas flow from the outlet 110 can pass.
The meter assembly 200 comprises a body 202, a first sensor assembly 204 and a second sensor assembly 206. The body 202 may comprise any suitable material; for example, steel, aluminium or composites. The body 202 comprises a conduit 208, a first housing 210 and second housing 212. The conduit 208 is in communication with the interior of the outlet pipe 158 and is arranged to connect thereto. The conduit 208 provides a communication pathway between the outlet 154 and the coupling 160 (and, concomitantly, user devices or applications connected to the coupling 160).
An orifice plate 214 is located within the interior of the conduit 208. The orifice plate 214 comprises a wall which delimits a restricted orifice 216. The orifice plate 214 forms a flow restriction within the conduit 208. The orifice 216 has a cross-sectional area A which is small relative to the cross-sectional area of the conduit 406 such that the flow velocity through the orifice 216 is in a choked condition, as will be described later.
Whilst the orifice plate 214 is shown as a thin-walled plate in FIG. 2, this need not be so. The orifice plate 214 may take any suitable form of wall and may have a tapering profile, or may have a greater thickness than shown. Alternatively, any suitable flow restriction may be used in place of the orifice plate 214. For example, the flow restriction may comprise a portion of a tube of narrower diameter than the remainder thereof. The skilled person would be readily aware of alternative flow restrictions which may be used to provide a flow restriction orifice 216 through which, in use, choked flow occurs.
In the present embodiment, the conduit 208 has a length of the order of a few centimeters. The orifice plate 214 delimits an orifice 216 having a diameter in the range of 0.1 mm-4 mm. This is sufficient to provide a choked flow condition and to supply a flow rate of gas through the orifice 216 of between 1 l to 40 liters/minutes for gases such as Nitrogen or Argon. For a gas having a lower molecular weight, the diameter of the orifice 216 can be scaled down to achieve a similar flow rate. Alternatively, for larger flow rates, the orifice 216 can be scaled up accordingly, provided that the upstream pressure is sufficiently higher than the downstream pressure to create choked flow conditions through the orifice 216.
The orifice plate 214 divides the interior of the conduit 208 into an upstream section 218 upstream of the orifice plate 214, and a downstream section 220 downstream of the orifice plate 214. In use, when gas is flowing from the outlet 154 of the regulator 150 into the upstream part 214 of the conduit 208, the orifice plate 214 will act as a flow restriction, resulting in a pressure differential between the upstream 218 and downstream 220 portions of the conduit 208. Consequently, the upstream portion 218 of the conduit 208 is at a first pressure P1 and density ρ1 and the downstream portion 220 of the conduit is at a second (and, in use, necessarily lower) pressure P2 and density ρ2. This will be described in detail later.
The first housing 210 is located adjacent the upstream portion 214 of the conduit 208 and is arranged to contain at least a part of the first sensor assembly 204. The interior of the first housing 210 may be at atmospheric pressure or may be in communication with the interior of the conduit 208 and, consequently, at the same pressure as the interior of the outlet pipe 158. This would eliminate the requirement for a pressure feed-through between the housing 210 and the interior of the conduit 208.
Alternatively, the first housing 210 could be provided as part of the conduit 208. For example, a part of the conduit 208 could be widened to accommodate the sensor assembly 204.
The second housing 212 is located adjacent the downstream portion 214 of the conduit 208 and is arranged to contain at least a part of the second sensor assembly 206. The interior of the second housing 212 may be at atmospheric pressure or may be in communication with the interior of the conduit 208 and, consequently, at the same pressure as the interior of the outlet pipe downstream portion 160. This would eliminate the requirement for a pressure feed-through between the second housing 212 and the interior of the conduit 208.
Alternatively, in common with the first housing 210, the second housing 212 could be omitted and the second sensor assembly 206 located in a part of the conduit 208 or the coupling 160. For example, the downstream part of the conduit 208 could be widened to accommodate the sensor assembly 206.
These arrangements are practicable because the inventors have found that only a few components of the first and second sensor assemblies 204, 206 are sensitive to high pressure. In particular, larger components such as batteries can be susceptible to high pressures. However, it has been found that lithium batteries perform particularly well under the high pressures encountered within the upstream and downstream portions 218, 220 of the conduit 208. However, alternative suitable power sources would be readily be contemplated by the skilled person.
The potential location of the first and/or second sensor assemblies 204, 206 entirely within the conduit 208 provides additional flexibility when configuring the meter assembly 200. In particular, the location of relatively fragile electronic components entirely within the metal or composite walls of the body 202 without the requirement for a protrusion such as the housing 210 provides considerable protection from environmental or accidental damage. This is particularly important, for example, in storage areas or depots, where gas cylinders may be located adjacent other gas cylinders, heavy machinery or rough surfaces. The relatively small size of the sensor assemblies 204, 206 enables internal location to be readily achieved.
Additionally, the internal location of the first and/or second sensor assemblies 204, 206 protects these components from environmental conditions such as salt, water and other contaminants. This would allow, for example, a high impedance circuit which is highly sensitive to salt and water damage to be used as part of the first and/or second sensor assemblies 204, 206.
The meter assembly 200 is arranged to measure the mass flow rate of the gas passing through the orifice 216. This is measured utilising the first and second sensor assemblies 204, 206 as described below.
The mass flow rate of gas through the orifice 216 can be determined accurately using only the first sensor assembly 204 under particular conditions. The accuracy of such a determination is dependent upon the existence of a choked flow condition through the orifice 216 as will be described below. For many applications, perhaps utilising the structural parameters of the orifice 216 as described above, this will be the case under most operating conditions. However, at lower flow rates this condition may not be satisfied and the mass flow rate as determined by the first sensor assembly 204 may be less accurate.
In order to improve the accuracy of, or to indicate the validity, of the mass flow determination, the second sensor assembly 206 is provided. The second sensor assembly 206 is operable to determine the downstream density to improve the accuracy of the mass flow determination and, additionally or alternatively, to determine whether the choked flow condition is satisfied. Therefore, the second sensor assembly 206 is operable to provide, in conjunction with the first sensor assembly 204, confirmation that the mass flow rate determined by the meter assembly 200 is accurate.
The first sensor assembly 204 comprises a quartz crystal oscillator 222 connected to a drive circuit 224, a temperature sensor 226 and a battery 228.
In this embodiment, the quartz crystal oscillator 222 and temperature sensor 226 are located in communication with the interior of the upstream portion 218 of the conduit 208, whist the remaining components of the sensor assembly 204 are located within the housing 210. In other words, the quartz crystal oscillator 222 is immersed in the gas upstream of the orifice plate 214. A microprocessor 238 may also be provided, either separately or as part of the drive circuit 224.
The second sensor assembly 206 is substantially similar to the first sensor assembly 204 although, in this instance, a temperature sensor is not required. The second sensor assembly 206 comprises a quartz crystal oscillator 230, a drive circuit 232 and a battery 234. The second sensor assembly 206 is connected to the microprocessor 238.
In this embodiment, the quartz crystal oscillator 230 is located in communication with the interior of the downstream portion 220 of the conduit 208, whist the remaining components of the sensor assembly 206 are located within the housing 212. In other words, the quartz crystal oscillator 230 is immersed in the gas downstream of the orifice plate 214.
The skilled person would readily be aware of variations to the arrangement described above. For example, the second sensor assembly 206 may simply comprise a quartz crystal oscillator connected to the drive circuit 224 of the first sensor assembly 204. In other words, the first and second sensor assemblies 204, 206 may share a common drive circuit and/or battery and/or microprocessor.
The drive circuits 224, 232 and quartz crystal oscillators 222, 230 will be described in detail later with reference to FIGS. 6 and 7. The temperature sensor 226 comprises a thermistor. Any suitable thermistor may be used. High accuracy is not required from the thermistor. For example, an accuracy of 0.5° C. is suitable for this embodiment. Consequently, cheap and small components can be used.
In this arrangement, the quartz crystal oscillators 222, 230 are constantly under isostatic pressure within the conduit 208 and, consequently, do not experience a pressure gradient. In other words, any mechanical stress originating from the pressure difference between external atmosphere and the interior of the body 202 of the meter assembly 200 is expressed across the body 202.
The theory and operation of the sensor assembly 204 will now be described with reference to FIGS. 3 and 4.
The quartz crystal oscillators 222, 230 each have a resonant frequency which is dependent upon the density of the fluid in which it is located. Exposing an oscillating tuning fork-type planar crystal oscillator to a gas leads to a shift and damping of the resonant frequency of the crystal (when compared to the resonant frequency of the crystal in a vacuum). There are a number of reasons for this. Whilst there is a damping effect of the gas on the oscillations of the crystal, the gas adjacent the vibrating tines 222a, 230a (as shown in FIG. 7) of the respective tuning fork crystal oscillator 222, 230 increases the effective mass of the oscillator. This leads to a reduction in the resonant frequency of the quartz crystal oscillator according to the motion of a one-sided, fixed elastic beam:




  
    
      
        f
        =
        
          
            f
            0
          
          
            
              1
              +
              
                ρ
                
                  M
                  0
                
              
            
          
        
      
    
    
      
        1
        )
      
    
  




Where f is the frequency of oscillation, f0 is the frequency of oscillation in a vacuum, ρ is the gas density, and M0 is a constant.
The density ρ will in almost all cases be small compared to M0, so that the formula can be approximated by the linear equation:




  
    
      
        f
        =
        
          
            f
            0
          
          ⁡
          
            (
            
              1
              -
              
                ρ
                
                  2
                  ⁢
                  
                    M
                    0
                  
                
              
            
            )
          
        
      
    
    
      
        2
        )
      
    
  




which can re-expressed in terms of the frequency deviation Δf from f0 as set out in equation 3):





  
    
      
        
          Δ
          ⁢
          
            
          
          ⁢
          f
        
        =
        
          
            1
            /
            2
          
          ⁢
          
            
          
          ⁢
          
            (
            
              
                f
                0
              
              
                M
                0
              
            
            )
          
          ⁢
          ρ
        
      
    
    
      
        3
        )
      
    
  




Consequently, to a good approximation, the change in frequency is proportional to the change in density of the gas to which the quartz crystal oscillator is exposed. FIG. 10 shows, for a number of different gases/gas mixtures, that the resonant frequency of the quartz crystal oscillator 222, 230 varies linearly as a function of density.
In general, the sensitivity of the quartz crystal oscillator 222, 230 is that a 5% change in frequency is seen with, for example, Oxygen gas (having a molecular weight of 32 AMU) at 250 bar when compared to atmospheric pressure. Such pressures and gas densities is typical of the storage cylinders used for permanent gases, which are normally between 137 and 450 bar g for most gases, and up to 700 or 900 bar g for helium and hydrogen.
The quartz crystal oscillator 222 is particularly suitable for use as a density sensor forming part of a mass flow meter for commercially-supplied gases. In order to sense correctly the density of a gas, it is necessary for the gas to be free from dust and droplets of liquids, which is guaranteed with commercially supplied gases, but not with air or in the generality of pressure monitoring situations.
Once the density value is obtained from the quartz crystal oscillator 222, the mass flow rate of gas through the orifice 216 can be determined. The mass flow rate, Q, through an orifice is defined as:

Q=kvρ1A  4)

Where k is a constant, v is the velocity of the gas, ρ1 is the upstream density of the gas and A is the cross-sectional area of the orifice A. However, from Bernoulli's equation 5):




  
    
      
        
          
            P
            1
          
          +
          
            
              1
              2
            
            ⁢
            
              ρ
              1
            
            ⁢
            
              v
              1
              2
            
          
        
        =
        
          
            P
            2
          
          +
          
            
              1
              2
            
            ⁢
            
              ρ
              2
            
            ⁢
            
              v
              2
              2
            
          
        
      
    
    
      
        5
        )
      
    
  




As the cross sectional area of an orifice decreases, the speed of the gas will increase and the pressure of the gas will be reduced.
The determination of mass flow rate through the orifice 216 using only a single, upstream quartz crystal oscillator 222 depends on a condition known as “choked” or “critical” flow. Such a situation arises when the gas velocity reaches sonic conditions, i.e. when the flow restriction caused by the orifice plate 214 is such that the velocity of gas flowing through the orifice 216 reaches the speed of sound. This occurs when the pressure ratio across the orifice 216 (i.e. P1/P2) is approximately 2 or more. As an alternative measure, this condition is generally applicable when the upstream absolute pressure P1 is at least 1 bar gauge higher than the downstream absolute pressure P2, where that pressure is atmospheric.
Once this condition is met, there is very little further increase in the velocity of air through the orifice 216. Therefore, at the choked flow condition where v=c (the speed of sound in the gas in question), equation 4) becomes:

Q=kcρ1A  6)

Consequently, for an orifice having a fixed cross sectional area A, the mass flow through the orifice 216 is dependent only upon the upstream density. This is the parameter which the quartz crystal oscillator 222 is arranged to measure.
In addition, the speed of sound c is proportional to the square root of the absolute temperature, √T. However, as previously described, in this embodiment the temperature sensor 226 does not need to be particularly accurate. For example, if the error in temperature is 0.5K at 300K, this translates to only a 1:1200 error in the calculated speed of sound. Therefore, for many applications, the temperature sensor 226 is not necessarily needed.
FIG. 4 illustrates experimental data of mass flow rate measurement. FIG. 4 is a graph of resonant frequency (in kHz) on the Y-axis as a function of gas flow rate (in liters/minute) on the X-axis for Nitrogen gas. As shown, the graph is highly linear and shows that mass flow rate can be measured accurately using the quartz crystal oscillator 222.
Further, the high accuracy of the quartz crystal oscillator 222 enables measurement to a very high accuracy with a resolution of parts per million. Coupled with the linear response of the quartz density sensor 222 at high densities and pressures, the high accuracy enables the mass flow rate of very light gases such as H2 and He to be measured accurately.
However, as described above, the mass flow measurement using the quartz crystal oscillator 222 will only be accurate under choked flow conditions, i.e. when the speed of flow through the orifice 216 is close or equal to the speed of sound in the gas. This will, in practice, require the user to maintain a particular minimum gas flow into the meter 200 in order to provide an accurate measurement.
As a result, a single upstream quartz crystal oscillator 222 operating alone is unable to provide an indication of whether a choked flow condition is present the orifice 216. Therefore, the second quartz crystal oscillator 230 (forming at least a part of the second sensor assembly 206) is provided. The use of piezoelectric sensors both upstream and downstream of the orifice 216 enables accurate flow metering to be achieved.
As set out above in relation to equation 7), the mass flow rate Q is proportional to the upstream density ρ1 if the speed of fluid flow through the orifice 216 is sonic or close to sonic. As set out above, this condition is generally met if the ratio of the upstream pressure to the downstream pressure (i.e. P1/P2) is approximately 2 or greater. However, for
However, in practice, the pressure ratio may be insufficient. Application of Bernoulli's equation and established theory of choked flow and speed of sound leads to equation 7)

Q≈k′Ac√{square root over ((ρ12−ρ1)}ρ2)  7)

where k′ is a dimensionless constant, A is the orifice area, ρ1 is the upstream density and ρ2 is the downstream density.

Clearly, if ρ1/ρ2 then equation 7) can be approximated by equation 6) above because a choked flow condition is deemed to be present across the orifice 216.
Therefore, in this instance, the measurement from just the first sensor assembly 204 can be utilised to provide an accurate indication of mass flow rate in situations where ρ1/ρ2≧2.
However, if the ratio is lower than this, then equation 7) can be utilised to calculate the mass flow rate using both the first and second sensor assemblies 204, 206 to measure the upstream density ρ1 and the downstream density ρ2 respectively and to determine the mass flow rate at flow rates through the orifice 216 below choked flow conditions.
Alternatively, the meter 200 may merely provide a read-out from first sensor assembly 204 (i.e. a mass flow rate based solely on a measurement of the upstream density) and the second sensor assembly 206 (including the quartz crystal oscillator 230) may be implemented to provide an indication that the mass flow rate measurement is operating outside of an accurate operation regime.
FIG. 5 shows experimental data (diamonds) comprising the flow rate of Helium gas in liters/min through a 0.5 mm orifice. The straight line shows a linear relation between upstream density ρ1 and flow rate for an upstream/downstream density ratio of well over 2:1 fits the data (equation 6)). The curve shows how the flow at lower density ratios can be predicted with good precision using equation 7), which takes into account the downstream density ρ2. This curve is obtained by switching gradually from equation 7) to equation 6), over a range of 1 bar g around the density at the critical ratio of 2:1 as the flow rate rises.
Therefore, the provision of a second sensor assembly has an advantage when the outlet of the meter is nearly or completely blocked. In this case, the second sensor would force the meter to adopt equation 7) (low ratio) and correctly indicate low or zero flow. Without the second sensor, the meter would erroneously indicate flow as if no blockage had taken place.
FIG. 6 shows the accuracy advantage that taking into account the downstream density gives. FIG. 6 shows, the fit line from FIG. 5. In addition, the upper curve shows the relationship which would be predicted from an upstream sensor only if the downstream density was atmospheric (this line is shown in short dashes). The deviation from the correct value is so small it can be neglected at high flows, but is significant at low flows.
The lower line (long dashes) shows the curve which would be predicted if the downstream pressure relative to atmosphere was twice that in the experimental measurement. Again, the deviation is small except at low flows.
A second embodiment of the invention is shown in FIG. 7. The features of the second embodiment shown in FIG. 7 which are in common with the first embodiment of FIG. 2 are allocated the same reference numerals and will not be described again here.
In the embodiment of FIG. 7, the regulator 300 differs from the regulator 150 of the FIG. 2 embodiment in that the regulator 300 is arranged to provide automatic control of gas from the outlet 154 by means of a solenoid valve 302. In addition, only a single sensor assembly 204 is provided, in contrast to the first embodiment. In other words, the second sensor assembly is omitted in this embodiment. The solenoid valve 302 comprises an armature 304 which is movable in response to an electric current through the coils (not shown) of the solenoid valve 302. The armature 304 is movable to directly open or close the poppet valve 164 and, consequently, the aperture 170. The solenoid valve 302 is, in this embodiment, continuously variable (known as “approximately proportional”) to regulate gas flow through the regulator 300.
The solenoid valve 302 shown in FIG. 5 is in the normally open condition. In other words, in the absence of an electrical current through the solenoid valve 302, the armature 304 is in an extended position such that the poppet valve 164 is open, i.e. the aperture 170 is open. If a current is applied to the solenoid valve 302, the armature 304 will retract and the poppet valve 164 will close.
The skilled person would be readily aware of alternative variations of solenoid valve which could be used with the present invention. For example, the solenoid valve may be digital in response (i.e. on/off or open/closed). Alternative structures may also be implemented; for example, the armature 304 may act directly on the diaphragm, or may control flow through a narrow conduit in communication with the outlet 154 in order to regulate movement of the diaphragm 168. Alternatively, the poppet valve could be eliminated and the diaphragm 168 itself could be the valve member controlling directly the flow of gas from the inlet 152 to the outlet 154.
The second embodiment comprises a controller 350. Components of the controller 350 in common with the meter assembly 200 are allocated the same reference numerals for clarity.
The controller 350, in the embodiment of FIG. 7, comprises only a single sensor assembly 204 located upstream of the orifice 216 and the second sensor assembly of the first embodiment is omitted.
The controller 350 further comprises an electronic solenoid drive 352 connected to the solenoid valve 302 and to the sensor assembly 204. The solenoid drive 352 is arranged to receive a signal from the sensor assembly 204 and to control the solenoid valve 302 in response to that signal and, consequently, control the flow through the regulator 300.
The solenoid drive 352 may comprise any suitable drive circuit for controlling the solenoid valve 302. One suitable circuit may be an operational amplifier arrangement having an input from the sensor assembly 204 to the negative terminal of the operational amplifier. Consequently, to the positive terminal could be attached a variable resistor designed to provide a constant reference level and act as a comparator.
An input from the sensor assembly 204 to the solenoid drive 352 will cause operation of the solenoid valve 302. For example, if the input signal from the sensor assembly 204 (or, alternatively, the processor 240) exceeds a particular threshold level, the solenoid drive 352 may energise the solenoid valve 302. This will be described in detail below. The solenoid valve 302 may be controlled in a digital (i.e. on or off) manner where a DC voltage is varied between a maximum and a minimum value. This is known as pulse width modulation (PWM). Alternatively, the DC voltage from the solenoid drive 352 may be continuously variable (e.g. proportional) to adjust the position of the poppet valve 164 accurately in an analogue manner.
Additionally or alternatively, the solenoid drive 352 may control the solenoid valve 302 by means of a DC output comprising an AC component. Since the extension of the armature 304 from the solenoid valve 302 is approximately proportional to the applied current, this causes the armature 304 of the solenoid valve 302 to oscillate. Such oscillations mitigate “stiction” of the armature 304, i.e. assist in preventing the armature 304 from becoming stuck or jammed.
Alternatively, other control arrangements, such as FETs, microprocessors or ASICs may be used as appropriate to control the operation of the solenoid valve 302. Further, as discussed, the solenoid valve 302 may operate in either a digital (i.e. on/off) or analogue (i.e. continuously variable) modes to enable accurate movement of the poppet valve 164 or similar.
The operation of the controller 350 will now be described. As described above, the sensor assembly 204 (including the quartz crystal oscillator 222) can be used as part of a feedback loop to control pressure electronically.
The output from the sensor assembly 204 is connected to the solenoid valve 302 in a feedback loop. As proved above, the resonant frequency of the quartz crystal oscillator 222 is proportional to the gas density upstream of the orifice 216, and that, under choked flow conditions, the gas density upstream of the orifice 216 is proportional to the mass flow rate Q through the orifice.
Therefore, a particular resonant frequency of the quartz crystal oscillator 222 will correspond to a particular density of gas upstream of the orifice and, under choked flow conditions, a particular mass flow rate through the orifice 216. Consequently, a feedback loop can be implemented in the controller 350 which is operable to maintain the resonant frequency of the quartz crystal oscillator 222 at a particular set frequency and, concomitantly, maintain the gas flow through the orifice 216 at a constant mass flow rate.
The general principle of operation is thus: the quartz crystal oscillator 222 is set to a particular frequency. If the upstream density drops, then the resonant frequency of the quartz crystal oscillator 222 will increase. The controller 350 will then open the solenoid valve 302 to increase the gas pressure downstream of the solenoid valve 302. This will increase the pressure and, concomitantly, the density of the gas upstream of the orifice 216. This will then decrease the resonant frequency of the quartz crystal oscillator 222 until the set point frequency is re-established, which corresponds to a desired mass flow rate of gas through the orifice 216. In other words, the controller 350 implements a feedback loop to minimise the difference between set point mass flow rate and the actual mass flow rate.
The controller 350 also controls the solenoid valve 302 in dependence upon temperature. There, the feedback loop is arranged to maintain the pressure not equal to a constant, but equal to a constant divided by the square root of absolute temperature, 1/√T, measured in Kelvin.
The electronic gas pressure controller made in this way can be connected to an orifice downstream will offer a constant mass flow of gas. The pressure ratio (upstream/downstream) across the orifice must be sufficient, around 2 or more, to maintain the orifice at critical flow, by which we meat that at the narrowest point gas flow is approximately sonic in speed. This can be seen from equation 7).
In equation 6), the speed of sound in the gas, c can be expressed as set out in equation 8):




  
    
      
        c
        =
        
          
            
              γ
              ⁢
              
                
              
              ⁢
              RT
            
            M
          
        
      
    
    
      
        8
        )
      
    
  




where γ is the ratio of specific heats Cp/Cv, R is the gas constant, T is the temperature and M is the molecular weight. Therefore, substituting the expression for c) into equation 6) gives:





  
    
      
        Q
        =
        
          kA
          ⁢
          
            
          
          ⁢
          
            ρ
            1
          
          ⁢
          
            
              
                γ
                ⁢
                
                  
                
                ⁢
                RT
              
              M
            
          
        
      
    
    
      
        9
        )
      
    
  




where ρ1 is the upstream density as measured by the quartz crystal oscillator 222.

In general, only density and temperature are variables in the applications relevant to the present invention. Therefore, a quantity ρ′ can be defined as set out in equation 10):




  
    
      
        
          ρ
          ′
        
        =
        
          
            ρ
            1
          
          
            T
          
        
      
    
    
      
        10
        )
      
    
  




Substituting this expression into equation 9) provides:




  
    
      
        Q
        =
        
          
            kA
            ⁢
            
              
            
            ⁢
            
              ρ
              ′
            
          
          =
          
            
              
                γ
                ⁢
                
                  
                
                ⁢
                R
              
              M
            
          
        
      
    
    
      
        11
        )
      
    
  




Therefore, since




  
    
      γ
      ⁢
      
        
      
      ⁢
      R
    
    M
  




is a constant for packaged gases, k is a constant for any particular gas and the area A of the orifice is a constant, the mass flow can be determined from ρ′. Consequently, the mass flow can be controlled based on the density divided by the square root of the temperature or, in practice, the resonant frequency of the quartz crystal oscillator 222 divided by the square root of the temperature as measured by the temperature sensor 226.

Therefore, if the sensor assembly 204 is operable to control the solenoid valve 302 to maintain ρ′ substantially constant, the mass flow rate through the orifice 216 will be kept constant. In other words, the solenoid valve 302 can be controlled based on both the measured resonant frequency of the quartz crystal oscillator 222 and the measured temperature.
The first or second embodiments may additionally comprise a display (not shown) to show a user the results of measurements made on the detected gas. Alternatively, the display may be located remote from the meter assemblies 200, 350 and the relevant data may be communicated remotely.
In order for the quartz crystal oscillator 222 to provide an accurate measurement, the quartz crystal oscillator 222 must be kept free of dirt, moisture and other contamination. Whilst this is not an issue for commercially-supplied packaged gases (which are extremely clean), the controller 350 may be used in situations where environmental contamination may be a significant issue.
Consequently, the meter assembly 200, 350 is provided with a filter 354 located between the quartz crystal oscillator 222 and the main flow of gas. The filter 354 may be of any suitable pore size. Pore sizes are in the 5-10 μm range are particularly suitable for this application. The filter 354 (or a similar filter) may be applied to the first embodiment described previously.
Alternatively, the filter 354 may be omitted if the quartz crystal oscillator 222 is located behind an aperture which is sufficiently small to prevent the ingress of dirt or other contaminants. For example, an aperture size of 0.25 mm would be suitable for use without a filter, provided that the full upstream pressure of the gas can be measured in this manner.
A third embodiment of the present invention is shown in FIG. 8. The third embodiment comprises a controller 450. Components of the controller 450 in common with the meter assembly 200 and controller 350 are allocated the same reference numerals for clarity.
The controller 450, in the embodiment of FIG. 8, comprises only both a first sensor assembly 204 located upstream of the orifice 216 and a second sensor assembly 206 in common with the first embodiment. Therefore, the third embodiment is a combination of the features of the first and second embodiments.
The controller 450 further comprises an electronic solenoid drive 452 connected to the solenoid valve 402 and to the sensor assemblies 204, 206. The solenoid drive 452 is arranged to receive a signal from the sensor assemblies 204, 206 and to control the solenoid valve 402 in response to that signal and, consequently, control the flow through the regulator 400.
The solenoid drive 452 may take the form of the solenoid drive 352 and any variations thereof and will not be described further here. An input from the sensor assemblies 204, 206 to the solenoid drive 452 will cause operation of the solenoid valve 402. For example, if the input signal from the sensor assembly 204 (or, alternatively, the processor 240) exceeds a particular threshold level, the solenoid drive 352 may energise the solenoid valve 302. This will be described in detail below. The solenoid valve 302 may be controlled in a digital (i.e. on or off) manner where a DC voltage is varied between a maximum and a minimum value. Alternatively, the DC voltage from the solenoid drive 352 may be continuously variable (e.g. proportional) to adjust the position of the poppet valve 164 accurately in an analogue manner.
Additionally or alternatively, the solenoid drive 452 may control the solenoid valve 302 by means of a DC output comprising an AC component. Since the extension of the armature 304 from the solenoid valve 302 is approximately proportional to the applied current, this causes the armature 304 of the solenoid valve 302 to oscillate. Such oscillations mitigate “stiction” of the armature 304, i.e. assist in preventing the armature 304 from becoming stuck or jammed.
Alternatively, other control arrangements, such as FETs, microprocessors or ASICs may be used as appropriate to control the operation of the solenoid valve 302. Further, as discussed, the solenoid valve 302 may operate in either a digital (i.e. on/off) or analogue (i.e. continuously variable) modes to enable accurate movement of the poppet valve 164 or similar.
The operation of the controller 450 will now be described. As described above, the sensor assembly 204 (including the quartz crystal oscillator 222) and sensor assembly 206 (including the quartz crystal oscillator 230) can be used as part of a feedback loop to control pressure electronically.
The output from the first sensor assembly 204 and the second sensor assembly 206 is connected to the solenoid valve 302 in a feedback loop. As proved above, the resonant frequency of the quartz crystal oscillator 222 is proportional to the gas density upstream of the orifice 216, and that, under choked flow conditions, the gas density upstream of the orifice 216 is proportional to the mass flow rate Q through the orifice.
Therefore, a particular resonant frequency of the quartz crystal oscillator 222 will correspond to a particular density of gas upstream of the orifice and, under choked flow conditions, a particular mass flow rate through the orifice 216. Consequently, a feedback loop can be implemented in the controller 450 which is operable to maintain the resonant frequency of the quartz crystal oscillator 222 at a particular set frequency and, concomitantly, maintain the gas flow through the orifice 216 at a constant mass flow rate.
The controller 350 also controls the solenoid valve 302 in dependence upon temperature. There, the feedback loop is arranged to maintain the pressure not equal to a constant, but equal to a constant divided by the square root of temperature, 1/√T.
The electronic gas pressure controller made in this way can be connected to an orifice downstream will offer a constant mass flow of gas. The pressure ratio (upstream/downstream) across the orifice must be sufficient, around 2 or more, to maintain the orifice at critical flow, by which we meat that at the narrowest point gas flow is approximately sonic in speed. This can be seen from equation 6).
In equation 8) above, the speed of sound in the gas, c is expressed. Therefore, substituting the expression for c into equation 7) gives equation:




  
    
      
        
          
            Q
            ≈
            
              
                k
                ′
              
              ⁢
              A
              ⁢
              
                
                  (
                  
                    
                      ρ
                      1
                      2
                    
                    -
                    
                      ρ
                      1
                    
                  
                
              
              ⁢
              
                ρ
                2
              
            
          
          )
        
        ⁢
        
          
            
              γ
              ⁢
              
                
              
              ⁢
              RT
            
            M
          
        
      
    
    
      
        12
        )
      
    
  




where ρ1 is the upstream density as measured by the quartz crystal oscillator 222, and ρ2 is the downstream density as measured by the quartz crystal oscillator 230.

In general, as set out above, only the upstream and downstream densities, and temperature are variables in the applications relevant to the present invention. Therefore, as for the second embodiment, a quantity ρ′′ can be defined as set out in equation 13):




  
    
      
        
          ρ
          ′′
        
        =
        
          
            
              (
              
                
                  ρ
                  1
                  2
                
                -
                
                  
                    ρ
                    1
                  
                  ⁢
                  
                    ρ
                    2
                  
                
              
              )
            
            T
          
        
      
    
    
      
        13
        )
      
    
  




Substituting this expression into equation 9) provides:




  
    
      
        Q
        =
        
          kA
          ⁢
          
            
          
          ⁢
          
            ρ
            ′′
          
          ⁢
          
            
              
                γ
                ⁢
                
                  
                
                ⁢
                R
              
              M
            
          
        
      
    
    
      
        14
        )
      
    
  




Therefore, since




  
    
      γ
      ⁢
      
        
      
      ⁢
      R
    
    M
  




is a constant for packaged gases, k is a constant and the area A of the orifice is a constant, the mass flow can be determined solely from ρ′′. Therefore, the sensor assemblies 204 and 206 are operable to control the solenoid valve 402 to maintain ρ′′ substantially constant. In other words, the solenoid valve 302 can be controlled based upon the resonant frequency of the first quartz crystal oscillator 222, the resonant frequency of the second quartz crystal oscillator 230 and the square root of temperature as measured by the temperature sensor 226.

The first, second or third embodiments may additionally comprise a display (not shown) to show a user the results of measurements made on the detected gas. Alternatively, the display may be located remote from the meter assembly 200 and controllers 350, 450 and the relevant data may be communicated remotely.
For example, the first, second or third embodiments may further comprise an antenna (not shown) for remote communication with, for example, a base station. This will be discussed later. In this case, the antenna may be located outside the body 202 and connected to the sensor assembly 204 by means of a wire or equivalent connector.
The antenna itself may be adapted and arranged to use any suitable communication protocol; for example, a non-exhaustive list may be RFID, Bluetooth, Infra red (IR), 802.11 wireless, frequency modulation (FM) transmission or a cell network.
Alternatively, one-wire communication may be implemented. One-wire communication needs only a single metallic conductor to communicate: the ‘return’ path of the circuit is provided by capacitive coupling through the air between the communicating devices. The skilled person would be readily aware of alternatives of the antenna (and associated transmission hardware) which could be used with the embodiments discussed herein.
For example, communication may be effected by means of acoustic transmission from within the housing 210. A transmitter located within the housing 210 may effect acoustic transmission. The transmitter may comprise, for example, a simple fixed-frequency piezoelectric resonator.
A complementary receiver is also required and this component may be located remote from the meter assembly 200 or controller 350, 450 and may comprise hardware such as, for example, a phase-locked loop tone detector integrated with a microphone.
The sensor assembly 204 will now be described in more detail with reference to FIGS. 9, 10 and 11. Whilst the following description relates to the sensor assembly 204, it is to be understood that this also applies to the sensor assembly 206 which may be structurally and electronically similar in configuration.
The quartz crystal oscillator 222 comprises a planar section of cut quartz. Quartz demonstrates piezoelectric behaviour, i.e. the application of a voltage across the crystal causes the crystal to change shape, generating a mechanical force. Conversely, a mechanical force applied to the crystal produces an electrical charge.
Two parallel surfaces of the quartz crystal oscillator 222 are metallised in order to provide electrical connections across the bulk crystal. When a voltage is applied across the crystal by means of the metal contacts, the crystal changes shape. By application of an alternating voltage to the crystal, the crystal can be caused to oscillate.
The physical size and thickness of the quartz crystal determines the characteristic or resonant frequency of the quartz crystal. Indeed, the characteristic or resonant frequency of the crystal 222 is inversely proportional to the physical thickness between the two metallised surfaces. Quartz crystal oscillators are well known in the art and so the structure of the quartz crystal oscillator 222 will not be described further here.
Additionally, the resonant vibration frequency of a quartz crystal will vary depending upon the environment in which the crystal is located. In a vacuum, the crystal will have a particular frequency. However, this frequency will change in different environments. For example, in a fluid, the vibration of the crystal will be damped by the surrounding molecules and this will affect the resonant frequency and the energy required to oscillate the crystal at a given amplitude.
Additionally, adsorption of gas or deposition of surrounding materials onto the crystal will affect the mass of the vibrating crystal, altering the resonant frequency. Such adsorption or deposition of material forms the basis for commonly used selective gas analysers in which an absorbing layer is formed on the crystal and increases in mass as gas is absorbed.
However, in the present case, no coating is applied to the quartz crystal oscillator 222. Indeed, deposition of material onto the quartz crystal oscillator 222 is undesirable in the present case since the accuracy of the measurement may be affected.
As shown in FIG. 9, the quartz crystal oscillator 222 of the present embodiment is tuning fork-shaped and comprises a pair of tines 222a approximately 5 mm long arranged to oscillate at a resonant frequency of 32.768 kHz. The tines 222a are formed in the planar section of quartz. The tines 222a of the fork oscillate normally in their fundamental mode, in which they move synchronously towards and away from each other at the resonant frequency.
Fused (or non-crystalline) quartz has a very low temperature-dependent coefficient of expansion and a low coefficient of elasticity. This reduces the dependence of the fundamental frequency on temperature and, as will be shown, temperature effects are minimal.
Additionally, it is desirable to use quartz which is AT cut or SC cut. In other words, the planar section of quartz is cut at particular angles, so that the temperature coefficient of the oscillation frequency can be arranged to be parabolic with a wide peak around room temperature. Therefore, the crystal oscillator can be arranged such that the slope at top of the peak is precisely zero.
Such quartz crystals are commonly available at relative low cost. In contrast to the majority of quartz crystal oscillators which are used in vacuo, in the present embodiment the quartz crystal oscillator 222 is exposed to the gas under pressure in the conduit 208.
The drive circuit 224 for driving the quartz crystal oscillator 222 is shown in FIG. 9. The drive circuit 224 must meet a number of specific criteria. Firstly, the quartz crystal oscillator 222 of the present invention may be exposed to a range of gas pressures; potentially, the pressures may vary from atmospheric pressure (when the gas cylinder 100 is empty) to around 900 bar g if the gas cylinder contains a pressurised gas such as hydrogen. Thus, the quartz crystal oscillator 222 is required to operate (and restart after a period of non-use) under a wide range of pressures.
Consequently, the quality (Q) factor of the quartz crystal oscillator 222 will vary considerably during use. The Q factor is a dimensionless parameter relating to the rate of damping of an oscillator or resonator. Equivalently, it may characterise the bandwidth of a resonator relative to its centre frequency.
In general, the higher the Q factor of an oscillator, the lower the rate of energy loss relative to the stored energy of the oscillator. In other words, the oscillations of a high Q factor oscillator reduce in amplitude more slowly in the absence of an external force. Sinusoidally driven resonators having higher Q factors resonate with greater amplitudes at the resonant frequency but have a smaller bandwidth of frequencies around that frequency for which they resonate.
The drive circuit 224 must be able to drive the quartz crystal oscillator 222 despite the changing Q factor. As the pressure in the gas cylinder 100 increases, the oscillation of the quartz crystal oscillator 222 will become increasingly damped, and the Q factor will fall. The falling Q factor requires a higher gain to be provided by an amplifier in the drive circuit 224. However, if too high an amplification is provided, the drive circuit 224, the response from the quartz crystal oscillator 222 may become difficult to distinguish. In this case, the drive circuit 224 may simply oscillate at an unrelated frequency, or at the frequency of a non-fundamental mode of the quartz crystal oscillator 222.
As a further limitation, the drive circuit 224 must be low power in order to run on small low power batteries for a long time with or without supplementary power such as photovoltaic cells.
The drive circuit 224 will now be described with reference to FIG. 9. In order to drive the quartz crystal oscillator 222, the drive circuit 224 essentially takes a voltage signal from the quartz crystal oscillator 222, amplifies it, and feeds that signal it back to the quartz crystal oscillator 222. The fundamental resonant frequency of the quartz crystal oscillator 222 is, in essence, a function of the rate of expansion and contraction of the quartz. This is determined in general by the cut and size of the crystal.
However, external factors also affect the resonant frequency. When the energy of the generated output frequencies matches the losses in the circuit, an oscillation can be sustained. The drive circuit 224 is arranged to detect and maintain this oscillation frequency. The frequency can then be measured by the microprocessor 238, used to calculate the appropriate property of the gas required by the user and, if required, output to a suitable display means (as will be described later).
The drive circuit 224 is powered by a 6 V battery 228. The battery 228, in this embodiment, comprises a lithium battery. However, alternative power sources will be readily apparent to the person skilled in the art; for example, other battery types both rechargeable and non-rechargeable and a solar cell arrangement.
The drive circuit 224 further comprises a Darlington pair Common Emitter amplifier 250. A Darlington pair comprises a compound structure consisting of two bipolar NPN transistors configured such that the current amplified by a first of the transistor is amplified further by the second one. This configuration enables a higher current gain to be obtained when compared to each transistor being taken separately. Alternative, PNP bipolar transistors may be used.
The Darlington pair 250 is arranged in a feedback configuration from a single transistor (T1) Common Emitter amplifier 252. A NPN bipolar junction transistor is shown in FIG. 7. However, the skilled person would be aware of alternative transistor arrangements which may be used; for example, a bipolar junction PNP transistor or Metal Oxide Semiconductor Field Effect Transistors (MOSFETs).
The drive circuit 224 comprises a further NPN emitter follower transistor T2 which acts as a buffer amplifier 254. The buffer amplifier 230 is arranged to function as a buffer between the circuit and the external environment. However, this feature is optional and may not required; for example, a FET could be directly connected to drive the circuit 220.
A capacitor 256 is located in series with the quartz crystal oscillator 222. The capacitor 232, in this example, has a value of 100 pF and enables the drive circuit 224 to drive the quartz crystal oscillator 222 in situations where the crystal has become contaminated, for example by salts or other deposited materials.
Additionally, the drive circuit 224 may be optimised for fast start of the quartz crystal oscillator 222. In order to achieve this, a further resistor and further capacitor may be connected between the base of transistor D1 and ground. These components may comprise, for example, a 10 MΩ resistor and a 10 nF capacitor.
An alternative drive circuit 240 will now be described with reference to FIG. 10. The drive circuit 240 may be used in place of the drive circuit 204 described above. In contrast to the drive circuit 204 described above, the drive circuit 240 includes a common drain Metal Oxide Semiconductor Field Effect Transistor (MOSFET) amplifier 242 in place of the Darlington pair of the circuit of FIG. 9. The MOSFET 242 functions as a high impedance input which enables the input impedance of the amplifier stage to be matched to the high impedance of the quartz crystal oscillator 202. In other words, the MOSFET 242 provides a unity gain with a high input impedance to reduce the electrical load on the quartz crystal oscillator 202.
The output of the common drain MOSFET amplifier 242 is fed to two successive single transistor (Q2,Q3) Common Emitter Amplifiers 244. Resistors R6 and R8 provide both negative feedback and biasing current for the transistors. The Common Emitter Amplifiers 244 provide a high gain to amplify the oscillations of the quartz crystal oscillator 202 and, in this embodiment, comprise NPN bipolar junction transistors. However, the skilled person would be aware of alternative transistor arrangements which may be used; for example, a bipolar junction PNP transistor or MOSFETs.
A capacitor 246 is connected between the quartz crystal oscillator 202 and ground. The capacitor 246, in this embodiment is operable to increase the drive to the quartz crystal oscillator 202.
A resistor 248 is connected in series with the quartz crystal oscillator 202. The resistor 248, in this embodiment, has a value of 56 kΩ and damps the oscillations of quartz crystal oscillator 202 in order to enable the circuit to oscillate over a wide range of pressures with only gradual changes in waveform.
The drive circuit 240 is powered by a 3 V battery 249. The battery 249, in this embodiment, comprises a lithium battery. However, alternative power sources will be readily apparent to the person skilled in the art; for example, other battery types both rechargeable and non-rechargeable and a solar cell arrangement. Alternatively, a mains supply arrangement may be used after DC rectification and appropriate voltage reduction.
An alternative drive circuit 260 will now be described with reference to FIG. 11. The drive circuit shown in FIG. 8 is configured similarly to a Pierce oscillator. Pierce oscillators are known from digital IC clock oscillators. In essence, the drive circuit 260 comprises a single digital inverter (in the form of a transistor) T, three resistors R1, R2 and RS, two capacitors C1, C2, and the quartz crystal oscillator 222 (or oscillator 230).
In this arrangement, the quartz crystal oscillator 222 functions as a highly selective filter element. Resistor R1 acts as a load resistor for the transistor T. Resistor R2 acts as a feedback resistor, biasing the inverter T in its linear region of operation. This effectively enables the inverter T to operate as a high gain inverting amplifier. Another resistor RS is used between the output of the inverter T and the quartz crystal oscillator 222 to limit the gain and to dampen undesired oscillations in the circuit.
The quartz crystal oscillator 222, in combination with C1 and C2 forms a Pi network band-pass filter. This enables a 180 degree phase shift and a voltage gain from the output to input at approximately the resonant frequency of the quartz crystal oscillator 222. The above described drive circuit 260 is reliable and cheap to manufacture since it comprises relatively few components. This circuit is also particular applicable to low pressure applications.
As discussed above, the sensor assembly 204 may include a microprocessor 238 which receives inputs from the quartz crystal oscillator 222 and drive circuit 224. The microprocessor 238 may comprise and suitable arrangement, such as an ASIC or FPGA. The microprocessor 238 is programmed to calculate and, if required, display and communicate a determination of the mass flow rate of the gas through the orifice 216.
When used with the quartz crystal oscillator 222, the microprocessor 238 may be configured to measure the frequency f or period of the signal from the drive circuit 224. This may be achieved by, for example, counting oscillations over a fixed time, and convert that frequency into a density value using an algorithm or look-up table. This value is passed to the microprocessor 238.
The microprocessor 238 also receives the measured temperature T from the temperature sensor 226. The microprocessor 238 is arranged to perform, based on the supplied inputs, a calculation to determine the mass flow rate of the gas through the orifice 216.
Once the mass flow rate has been determined, this data may be stored in a local memory, may be displayed on a display screen or may be transmitted to a remote station.
The microprocessor 238 may, optionally, be designed for mass production to be identical in all meter assembly 200, with different features in the software and hardware enabled for different gases.
Additionally, the microprocessor 238 may also be configured to minimise power consumption through implementation of standby or “sleep” modes which may cover the microprocessor 238 and additional components such as the drive circuit 224 and quartz crystal oscillator 222.
Various schemes may be implemented; for example, the microprocessor 238 may be on standby for 10 seconds out of every 11 seconds. Further, the microprocessor 238 may control the quartz crystal oscillator 222 and drive circuit 224 such that these components are put on standby for the majority of time, only being switching the more power-hungry components on for 1⁄2 second every 30 seconds.
FIG. 12 shows a regulator drive circuit 270 suitable for use with the second or third embodiments of the present invention. The regulator drive circuit 270 is operable to receive an input frequency from the quartz crystal oscillator 222 (and/or the quartz crystal oscillator 230 in the case of the third embodiment) into a quad NAND gate. The NAND gate also receives a set-point frequency from an oscillator connected to a voltage regulator. The quad NAND gate functions as an XOR gate.
The difference between these frequencies is then inputted into a frequency-voltage converter to convert this to a voltage output. The voltage output is then amplified by a 741 amplifier and utilised to control the position of the solenoid valve 302 in order to maintain the frequency input from the quartz crystal oscillator(s) 222, 230 at the set-point frequency as set by the voltage on the 10K potentiometer shown in FIG. 12.
A method of operation of the first embodiment of the present invention will now be described with reference to FIG. 13. The method described below is applicable to the first embodiment alone.
Step 500: Initialise Measurement
At step 500, the measurement of the mass flow rate of gas through the orifice 216 is initialised. This may be activated by, for example, a user pressing a button on the outside of the housing 210. Alternatively, the measurement may be initiated by means of a remote connection, for example, a signal transmitted across a wireless network and received by the meter assembly 200 through an antenna.
As a further alternative or addition, the meter assembly 200 may be configured to initialise remotely or on a timer. The method proceeds to step 502.
Step 502: Drive the Quartz Crystal Oscillators
Once initialised, the drive circuits 224, 232 are used to drive the respective quartz crystal oscillators 222, 230. During initialisation, each drive circuit 224, 232 applies a random noise AC voltage across the respective quartz crystal oscillator 222, 230. At least a portion of that random voltage will be at a suitable frequency to cause the respective quartz crystal oscillator 222, 230 to oscillate. Each quartz crystal oscillator 222, 230 will then begin to oscillate in synchrony with that respective signal.
As will be appreciated, the quartz crystal oscillators 222, 230 are, in essence, self-contained detectors and drivers since the resonant frequency of each crystal is itself what is being measured.
By means of the piezoelectric effect, the motion of the quartz crystal oscillators 222, 230 will then generate a voltage in the resonant frequency band of the respective quartz crystal oscillator 222, 230. The respective drive circuit 224, 232 then amplifies the signal generated by the quartz crystal oscillator 222, 230, such that the signals generated in the frequency band of the quartz crystal resonator 222, 230 dominate the output of the drive circuit 224, 232. The narrow resonance band of the quartz crystal filters out all the unwanted frequencies and the drive circuit 224, 230 then drives the respective quartz crystal oscillator 222, 230 at the fundamental resonant frequency f. Once the respective quartz crystal oscillator 222, 230 has stabilised at a particular resonant frequency, the method proceeds to step 504.
Step 504: Measure Resonant Frequency of Quartz Crystal Oscillator
The resonant frequency f is dependent upon the environmental conditions within the upstream portion 214 of the conduit 208. In the present embodiment, the change in resonant frequency Δf is, to a good approximation, proportional in magnitude to the change in density of the gas in upstream portion 214 of the conduit 208 and will decrease with increasing density.
In order to make a measurement, the frequency of the quartz crystal oscillator 222 is measured for a period of approximately 1 s. This is to enable the reading to stabilise and for sufficient oscillations to be counted in order to determine an accurate measurement. The measurement of frequency is carried out in the microprocessor 238. The microprocessor 238 may also log the time, T1, when the measurement was started.
Once the frequency has been measured, the method proceeds to step 506.
Step 506: Measure Temperature of Gas
At step 506, the temperature sensor 226 measures the temperature of the gas within the upstream portion 214 of the conduit 208. This measurement is required in order to accurately determine the speed of sound in the gas flow.
As previously described, the temperature measurement does not need to be particularly accurate. For example, if the temperature sensor 226 is accurate to 0.5° C., then this corresponds to an error of only approximately one part in twelve hundred on the absolute temperature value required for the calculation of the speed of sound.
As an alternative, this step may simply involve a fixed temperature value being inputted to the microprocessor 238. This may occur, for example, in situations where a known temperature environment is used, or where a high degree of accuracy is not required. In this case, the temperature sensor 226 is not required.
Step 508: Determine the Mass Flow of Gas
This is done using equation 8) above where the density ρ1 of the gas upstream of the orifice 216, the density ρ2 of the gas downstream of the orifice 216 and, optionally, the temperature T of the gas is known. Therefore, knowing the resonant frequencies as measured in step 504, the (optional) known temperature T of the gas measured in step 406, an accurate measurement of the mass flow rate through the orifice 216 can be made. This applies even if the choked flow condition (set out in equation 7)) is not met because both the upstream and the downstream densities can be utilised. The method then proceeds to step 510.
Alternatively, the measurement of mass flow can be done using equation 7) for choked flow conditions where the density ρ1 of the gas upstream of the orifice 216 and, optionally, the temperature T of the gas is known. Therefore, knowing the resonant frequency of the quartz crystal oscillator 222 as measured in step 504, the (optional) known temperature T of the gas measured in step 406, a measurement of the mass flow rate Q through the orifice 216 can be made. In addition, the measurement of the density ρ2 of the gas downstream of the orifice 216 by the quartz crystal oscillator 230 can then also be utilised to provide an indication of the accuracy of the measurement made by the quartz crystal oscillator 222. The method then proceeds to step 510.
Step 510: Communicate and Store Results
The mass flow rate of the gas can be displayed in a number of ways. For example, a screen (not shown) attached to the housing 210, body 202 or regulator 150, 300 could display the mass flow rate of the gas through the orifice 216 (and as a consequence, the mass flow rate of gas exiting the coupling 160). In the alternative, the mass flow rate measurement could be communicated remotely to a base station or to a meter located on an adjacent fitting as will be described later.
As a yet further alternative, the mass flow rate of gas at time T1 could be stored in a memory local to said microprocessor 238 to generate a time log.
As set out above, in the alternative embodiment, a warning message may be displayed to the user to indicate that the mass flow rate as measured may be inaccurate because the flow rate is too low for a choked flow condition to exist through the orifice 216.
The method then proceeds to step 512.
Step 512: Power Down Sensor Assembly
It is not necessary to keep the meter assembly 200 operational at all times. To the contrary, it is beneficial to reduce power consumption by switching the meter assembly 200, 350 off when not in use. This prolongs the life of the battery 228.
The configuration of the drive circuit 224 enables the quartz crystal oscillator 222 to be restarted irrespective of the pressure in the upstream portion 214 of the conduit 208. Therefore, the meter assembly 200, 350 can be shut down as and when required in order to save battery power.
A method of operation of the second and third embodiments of the present invention will now be described with reference to FIG. 14. The method described below is applicable to the second and third embodiments alone.
Step 600: Initialise Measurement
At step 600, the measurement of the mass flow rate of gas through the orifice 216 is initialised. This may be activated by, for example, a user pressing a button on the outside of the housing 210. Alternatively, the measurement may be initiated by means of a remote connection, for example, a signal transmitted across a wireless network and received by the controller 350, 450 through an antenna.
At this point, a particular desired mass flow rate of gas is inputted by the user. This is then stored by the controller 350, 450 and the regulator drive circuit 270 suitably programmed to reach a specified set-point frequency of the quartz crystal oscillator 222 (and quartz crystal oscillator 230 in the case of the third embodiment) and to maintain the quartz crystal oscillator 222 at that particular frequency in order to maintain a particular gas flow.
As a further alternative or addition, the controllers 350, 450 may be configured to initialise remotely or on a timer. The method proceeds to step 602.
Step 602: Drive the Quartz Crystal Oscillator(s)
Once initialised, the drive circuit 224 is used to drive the quartz crystal oscillator 222. In the case of the second embodiment, the drive circuit 232 is also used to drive the quartz crystal oscillator 230. During initialisation, the or each drive circuit 224, 232 applies a random noise AC voltage across the respective quartz crystal oscillator 222, 230. At least a portion of that random voltage will be at a suitable frequency to cause the respective quartz crystal oscillator 222, 230 to oscillate. Each quartz crystal oscillator 222, 230 will then begin to oscillate in synchrony with that respective signal.
As will be appreciated, the quartz crystal oscillators 222, 230 are, in essence, self-contained detectors and drivers since the resonant frequency of each crystal is itself what is being measured.
By means of the piezoelectric effect, the motion of the quartz crystal oscillators 222, 230 will then generate a voltage in the resonant frequency band of the respective quartz crystal oscillator 222, 230. The, or the respective drive circuit 224, 232 then amplifies the signal generated by the quartz crystal oscillator 222, 230, such that the signals generated in the frequency band of the quartz crystal resonator 222, 230 dominate the output of the drive circuit 224, 232. The narrow resonance band of the quartz crystal filters out all the unwanted frequencies and the drive circuit 224, 230 then drives the respective quartz crystal oscillator 222, 230 at the fundamental resonant frequency f. Once the respective quartz crystal oscillator 222, 230 has stabilised at a particular resonant frequency, the method proceeds to step 604.
Step 604: Measure Resonant Frequency of Quartz Crystal Oscillator(s)
The resonant frequency f is dependent upon the environmental conditions within the upstream portion 214 of the conduit 208. In the present embodiment, the change in resonant frequency Δf is, to a good approximation, proportional in magnitude to the change in density of the gas in upstream portion 218 of the conduit 208 (for the quartz crystal oscillator 222) and will decrease with increasing density. The same applies to the quartz crystal oscillator 230 in the case of the third embodiment.
In order to make a measurement, the frequency of the or each quartz crystal oscillator 222, 230 is measured for a period of approximately 1 s. This is to enable the reading to stabilise and for sufficient oscillations to be counted in order to determine an accurate measurement. The measurement of frequency is carried out in the microprocessor 238. The microprocessor 238 may also log the time, T1, when the measurement was started.
Once the frequency has been measured, the method proceeds to step 606.
Step 606: Measure Temperature of Gas
At step 606, the temperature sensor 226 measures the temperature of the gas within the upstream portion 218 of the conduit 208. This measurement is required in order to accurately determine the speed of sound in the gas flow.
Step 608: Maintain Feedback Loop
The controller 350, 450 is operable to maintain a feedback loop in accordance with equation 11) above; i.e. by utilising the frequency of oscillation of the quartz crystal oscillator 222 (or equation 13) if the third embodiment is utilised including the oscillator 230 if desired) to achieve a particular mass flow rate.
In other words, the relationship of the density ρ1 of the gas upstream of the orifice 216 divided by the square root of the temperature T (in the second embodiment), or a function of the density ρ1 of the gas upstream of the orifice 216 and the density ρ2 of the gas downstream of the orifice 216 divided by the square root of the temperature T (in the third embodiment) is used to enable a proportional gas flow to be generated.
Therefore, the resonant frequency of the quartz crystal oscillator 222 (or a function of both oscillator 222 and oscillator 230 in the third embodiment) divided by the square root of a signal proportional to temperature can be maintained at a predetermined value by proportional opening/closing of the solenoid valve 302 to maintain a constant gas flow through the orifice 216.
Step 610: Communicate and Store Results
A user may specify a particular mass flow rate of the gas. Therefore, provided this condition is met, no further display is required. However, optionally, the actual mass flow rate of the gas can be displayed in a number of ways. For example, a screen (not shown) attached to the housing 210, body 202 or regulator 150, 300 could display the mass flow rate of the gas through the orifice 216 (and as a consequence, the mass flow rate of gas exiting the coupling 160). In the alternative, the mass flow rate measurement could be communicated remotely to a base station or to a meter located on an adjacent fitting as will be described later.
As a yet further alternative, the mass flow rate of gas at time T1 could be stored in a memory local to said microprocessor 238 to generate a time log.
As set out above, in the alternative embodiment, a warning message may be displayed to the user to indicate that the mass flow rate as measured may be inaccurate because the flow rate is too low for a choked flow condition to exist through the orifice 216.
Variations of the above embodiments will be apparent to the skilled person. The precise configuration of hardware and software components may differ and still fall within the scope of the present invention. The skilled person would be readily aware of alternative configurations which could be used.
For example, the above described embodiments have utilised a quartz crystal oscillator having a fundamental frequency of 32.768 kHz. However, crystals operating at alternative frequencies may be used. For example, quartz crystal oscillators operating at 60 kHz and 100 kHz may be used with the embodiments described above. A graph showing the frequency change with density for different crystals is shown in FIG. 15. As a further example, a crystal oscillator operating at a frequency of 1.8 MHz could be used.
Higher frequency operation enables the pressure to be monitored more frequently because a shorter time period is required to sample a given number of cycles. Additionally, higher frequency crystals enable a smaller duty cycle to be used in a “sleep” mode of a crystal. By way of explanation, in most cases, the crystal and drive circuit will spend most of the time switched off, only being switched on for a second or so when a measurement is needed. This may occur, for example, once a minute.
When a higher frequency crystal is used, the pressure can be measured faster. Therefore, the time in which the crystal is operational can be reduced. This may reduce power consumption and concomitantly improve battery life.
Additionally, the above embodiments have been described by measuring the absolute frequency of a quartz crystal oscillator. However, in self-contained electronics incorporated in a gas cylinder associated regulator, it may advantageous to measure the shift in frequency of the sensor by comparing that frequency with a reference crystal of identical type but enclosed in a vacuum or pressure package. The pressure package may contain gas at a selected density, gas under atmospheric conditions or may be open to the atmosphere external of the gas cylinder.
A suitable sensor assembly 700 is shown in FIG. 16. The sensor assembly 700 comprises a first quartz crystal oscillator 702 and a second quartz crystal oscillator 704. The first quartz crystal oscillator 702 is a reference crystal which is located within a sealed container 706 under vacuum. The first quartz crystal oscillator 702 is driven by a drive circuit 708.
The second quartz crystal oscillator 704 is a crystal similar to the crystal 222 described in the earlier embodiments. The second quartz crystal oscillator 704 is exposed to the gas environment within the housing 210. The second quartz crystal oscillator 704 is driven by a drive circuit 710.
This comparison may be performed using an electronic mixer circuit 712 which combines the two frequency signals and produces an output at a frequency equal to the difference between the two crystals. This arrangement enables small changes due to, for example, temperature to be negated.
Further, the circuitry used in the sensor assembly 204 can be simplified because only the difference frequency is required to be measured. Further, this approach is particularly suitable for use with a high frequency (MHz) crystal oscillator, where it may be difficult to measure the crystal frequency directly.
Additionally, all of the electronics required to measure and display the density, mass or mass flow need not be mounted on or in the gas cylinder. For example, electronic functions could be split between units mounted on the cylinder permanently and units mounted on either a customer's usage station or temporarily mounted on the outlet of the cylinder such as the position normally used for a conventional flow meter.
An example of this arrangement is shown with reference to FIG. 17. The arrangement comprises a gas cylinder assembly 80 comprising a gas cylinder 800, a regulator 802 and a mass flow rate meter 804. The gas cylinder 800, regulator 802 and mass flow rate meter 804 are substantially similar to the gas cylinder 100, regulator 150 and meter assembly 200 or controller 350, 450 substantially as previously described with reference to previous embodiments.
In this embodiment, the mass flow rate meter 804 comprises a quartz crystal oscillator and drive circuit (not shown) similar to the quartz crystal oscillator 222 and drive circuit 224 of earlier embodiments. An antenna 806 is provided for communication via any suitable remote communication protocol; for example, Bluetooth, Infra-red (IR) or RFID. Alternatively, one-wire communication may be utilised.
As a further alternative, acoustic communication methods may be used. The advantage of such methods is that remote communication can be effected without the requirement for an external antenna.
A connection pipe 808 is connected to the outlet of the gas cylinder 800. The connection pipe is terminated by a quick connect connection 810. The quick connect connection 810 enables connecting pipe work or components to be connected and disconnected easily and quickly from the gas cylinder 800.
A quick connect unit 850 is provided for connection to the gas cylinder 800. A complementary quick connect connector 812 is provided for connection to the connector 808. Further, the quick connect unit 850 is provided with a data unit 852. The data unit 852 comprises a display 854 and an antenna 856 for communication with the antenna 804 of the gas cylinder assembly 80. The display 854 may comprise, for example, an LCD, LED or daylight-readable display to minimise power consumption and maximise visibility of the display.
The data unit 852 may log various parameters as measured by the sensor assembly 802 of the gas cylinder assembly 80. For example, the data unit 852 could log mass flow rate versus time. Such a log could be useful, for example, to welding contractors wishing to check that gas flow was present and correct during lengthy gas welding procedures on critical components, or to supply a company data on a particular customer's usage.
Alternatively, data from the data unit 850 can be output to a computer-enabled welding machine (for welding applications) or other gas-using equipment, to allow the calculation of derived parameters, along with warning messages.
Additionally, the data unit 850 may be arranged to provide the following functions: to provide an audible or visible alarm if the gas type changes; to contain and display data on use of gas; to provide multimode operation, e.g. a supplier/filler mode and a customer mode; to allow input of data; to provide data such as a cylinder number, the type of gas, a certificate of analysis, a customer history (who had the cylinder over what dates), safety data and operational tips can be carried in summary form on the cylinder.
As an alternative, all of the above examples may, optionally, be processed, stored or obtained from a system located entirely on (or within) the gas cylinder 800 or housing 210 as discussed in terms of the meter assembly 200 or controllers 350, 450.
Whilst the above embodiments have been described with reference to the use of a quartz crystal oscillator, the skilled person would be readily aware of alternative piezoelectric materials which could also be used. For example, a non-exhaustive list may include crystal oscillators comprising: lithium tantalate, lithium niobate, lithium borate, berlinite, gallium arsenide, lithium tetraborate, aluminium phosphate, bismuth germanium oxide, polycrystalline zirconium titanate ceramics, high-alumina ceramics, silicon-zinc oxide composite, or dipotassium tartrate.
Embodiments of the present invention have been described with particular reference to the examples illustrated. While specific examples are shown in the drawings and are herein described in detail, it should be understood, however, that the drawings and detailed description are not intended to limit the invention to the particular form disclosed. It will be appreciated that variations and modifications may be made to the examples described within the scope of the present invention.

## Claims

1. A method of measuring the mass flow rate of a gas through an orifice, the method using a first piezoelectric oscillator in contact with the gas upstream of the orifice and a second piezoelectric oscillator in contact with the gas downstream of the orifice and comprising;
a) driving the first and second piezoelectric crystal oscillators such that each of the first and second piezoelectric crystal oscillators resonate at respective resonant frequencies;
b) measuring the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator; and
c) determining, from the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator, the mass flow rate of gas through said orifice.

2. A method of according to claim 1, wherein step c) further comprises:
d) determining, from the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator, the density of gas upstream of the orifice and the density of the gas downstream of the orifice.

3. A method according to claim 2, wherein step c) further comprises:
e) determining the ratio of the density of the gas upstream of the orifice to the density of the gas downstream of the orifice.

4. A method according to claim 3, wherein when the ratio is at or above a predetermined value, the flow through said orifice is determined to be choked and the mass flow rate is calculated from the density of the gas upstream of the orifice alone.

5. A method according to claim 3, wherein when the ratio is below a predetermined value, the mass flow rate is calculated from the density of the gas upstream of the orifice and from the density of the gas downstream of the orifice.

6. A method according to claim 3 wherein when the ratio is below a predetermined value, the mass flow rate is calculated from the density of the gas upstream of the orifice alone and the method further comprises the step of:
f) providing a notification that the determination of mass flow rate may comprise errors.

7. A method according to claim 1, wherein the gas is dispensed from a pressure regulator or valve located upstream of the piezoelectric crystal oscillator.

8. A method according to claim 7, wherein the pressure regulator or valve is electronically controlled in response to the measured mass flow rate of gas through said orifice.

9. A meter for measuring the mass flow rate of a gas, the meter comprising a conduit through which the gas flows in use, the conduit having a flow restriction orifice through which choked flow occurs in use, the flow restriction orifice dividing the conduit into an upstream portion upstream of said orifice and a downstream portion downstream of said orifice, the meter further comprising a sensor assembly including a first piezoelectric crystal oscillator in said upstream portion such that said first piezoelectric oscillator is in contact with said gas when the meter in use, a second piezoelectric crystal oscillator in said downstream portion such that said second piezoelectric oscillator is in contact with said gas when the meter in use, said sensor assembly being arranged: to drive the first and second piezoelectric crystal oscillators such that each of the first and second piezoelectric crystal oscillators resonate at respective resonant frequencies; to measure the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator; and to determine, from the resonant frequency of the first piezoelectric oscillator and the resonant frequency of the second piezoelectric oscillator, the mass flow rate of gas through said orifice.

10. A meter according to claim 9, wherein the meter further comprises a drive circuit comprising a Darlington pair arranged in a feedback configuration from a common emitter amplifier.

11. A meter according to claim 9, arranged downstream of a pressure regulator or valve.

12. A meter according to claim 11, wherein the meter is arranged to control electronically the pressure regulator or valve in response to the measured mass flow rate through the flow restriction orifice.

13. A method or meter according to claim 9, wherein said piezoelectric oscillator comprises a quartz crystal oscillator.

14. A method or meter according to claim 9, wherein said piezoelectric crystal oscillator comprises at least two planar tines.

15. A computer program product executable by a programmable processing apparatus, comprising one or more software portions for performing the steps of claim 1.

16. A computer usable storage medium having a computer program product according to claim 15 stored thereon.