# Determination of Hydraulic Ram Pump Performance: Experimental Results

Authors: Wanchai Asvapoositkul; Jedsada Juruta; Nattapong Tabtimhin; Yosawat Limpongsa
Journal: Advances in Civil Engineering
 (2019)

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## Abstract

The possibility of using a hydraulic ram pump (HRP) as a means of utilizing its energy to produce high head for pump has been investigated. To make such a system economically competitive, it is necessary to improve the performance of HRPs. To achieve this improvement, it is also necessary to understand the parameters that marked out the design of conventional HRPs. The performance is presented in dimensionless terms as the head ratioH∗ or discharge head to drive head and flow-rate ratio Q∗ or discharge flow rate to drive flow rate. The experiments on HRPs were conducted by which each of the following factors could be varied independently: (a) supply head, (b) air chamber pressure, and (c) waste valve beats per minute. An increase in the supply head tends to increase the supply flow rate, delivery flow rate, delivery head, and the overall efficiency of the pump. An increase in air chamber pressure tends to decrease the overall efficiency of the pump. However, there was no significant difference on the HRP performance over a wide range of flow conditions when air chamber pressure was varied. An increase in waste valve beats per minute tends to decrease the supply flow rate, delivery flow rate, and delivery head. But it tends to increase the head ratio, the flow-rate ratio, and the overall efficiency of the pump. The experimental data reveal that the HRP characteristics are functions of the waste valve beats per minute and the supply head.


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## Body

## 1. Introduction

The concept of hydraulic ram pump (HRP) was developed 200 years ago. In a HRP, no external powers are required to drive water. Water is pumped from a particular head at a high flow rate and comes out with a higher head but at a lesser flow rate because of the water hammer effect. The system consists of a drive pipe, waste valve, discharge valve, air (pressure) chamber, and delivery pipe (Figure1). The only moving parts of the system are the waste valve and the discharge valve which operate from the fluid dynamic actions of the pumping cycle [1].HRP is one of the simplest and the most environmentally friendly devices for domestic or agricultural use [2, 3]. There are a lot of people in a lot of countries that build and use this kind of pump. Details of these are given by Watt [4, 5], Schiller [6], Browne [7], and Inthachot et al. [8].Figure 1
Schematic diagram of the HRP test facility.There are a number of studies which have been done to improve the design of HRPs by experimental, theoretical, and numerical approaches. A short description of the function and history of HRPs can be found in Basfeld and Miiller [9]. Experimental and theoretical investigations on HRPs were done by Lansford and Dugan [10] to determine the rate of pumping and wasting for any conditions of operation. The dominant factor controlling the functioning of the HRP is the velocity in the drive pipe necessary to cause the waste valve to start closing, and its value is fixed by the waste valve setting. They also reported that the maximum efficiency varied little with various adjustments of the waste valve, except perhaps for extremely high values of velocity in the drive pipe, at which the efficiency was somewhat lower. Details of the HRP working cycle are also described.Iversen [1] carried out a comprehensive investigation to identify the features of the HRP; the drive head and flow, the discharge head and flow, the cycle frequency of the HRP, and the system efficiency. The expected performance is presented in a generalized form of the head ratio or discharge head to drive head and the flow rate ratio or discharge flow rate to drive flow rate. He reported that performance features of the head ratio and the flow rate ratio relate directly to cyclic frequency.The method of characteristics (MOC) for the analysis of unsteady flow in a HRP system can be seen in Najm et al. [11] and Filipan et al. [12]. Filipan et al. [12] applied the MOC for the calculation of the mathematical model of a HRP system in order to obtain the simplified working cycle of the HRP. The sensitivity analysis presents the influence of the force acting on the waste valve.CFD analysis of opening and closing condition of a hydraulic pump can be found in [13, 14] . The height of the waste valve and the height of the pressure chamber have significant effect on the outlet flow of the pump [15].Numerous attempts to analyze the complex behavior of a HRP system have been made in the past. Many variables are involved in the operation. Investigations on the performance and its factors have been widely carried out. The available literatures aim to present a generalized design methodology for HRPs covering design parameters and the design procedure along with the mathematical relationship used for the design work. It has been found that design parameters and their effect on the performance of the HRP were not fully studied. The influence on the rate of pumping and wasting for any conditions of operation and performance in HRPs are therefore investigated in this study.


## 2. Pump Performance

A HRP is shown in Figure1. The pump utilizes the energy from a supply head, Hs with a large quantity of water, Qs to a delivery head, Hd which is higher than the supply head with a small quantity of water, Qd by rapid closure of the waste valve. The operation is continuous with no other external input and the flow is intermittent. The power used to drive the pump is(1)Pows=ρgQsHs.The power added to the fluid is(2)Powd=ρgQdHd.The efficiency of the pump is defined as(3)η=PowdPows=ρgQdHdρgQsHs=QdQs⋅HdHs=Q∗H∗,where H∗ = head ratio = Hd/Hs and (4)Q∗=flow rate ratio=QdQs≈1−QwQs.We can expect that the flow-rate ratio is high by reducing water loss at the waste valve (Qw), and the head ratio is high by increasing the momentum of the water flow in the supply pipe. For this purpose, the effect of waste valve opening and closing on pump performance is investigated in order to reduce water loss at the waste valve and increase the pumping pressure. A HRP working cycle has been relegated to Appendix.


## 3. Experimental Study

### 3.1. Apparatus

The experiment was performed in the HRP test rig (Figure2). The pump was made of PVC pipe and fittings. The HRP has a drive pipe of a nominal pipe size of 25 mm (1 inch). The drive pipe is connected to a supply tank with a slope of 45°, as shown in Figure 2.Figure 2
HRP test rig configuration.During the initial test, a brass check valve is used as the waste valve by mounting it in the reverse direction where the opening and closing of the valve are due to the weight of the valve disc. A brass spring check valve of size 25 mm (1 inch) is used as the discharge valve. The surge tank (or air chamber) was made of a PVC tube of size 75 mm (3 inches) with an end cap. Its total volume is 2.2 L and air volume is 1.8 L. The discharge line was made of PVC pipe of 12 mm (0.5 inch). The water flow rate was varied manually by means of a flow control valve which was installed on both the drive line and delivery line. The flow at the drive pipeQs was measured by an ultrasonic flow meter. The flow at the delivery pipe and that at the waste valve were collected in storage tanks during the test. The rate of delivering Qd and wasting Qw were determined by measuring the time required for a given quantity of water. Also, water pressure at the drive pipe and that at the delivery pipe were measured by pressure transducers. The total head at the drive or supply pipe Hs and that at the delivery pipe Hd were calculated from the measured flow rate and pressure of each pipe. The pressure at the air chamber is measured by a Bourdon-tube gauge. The motion of the waste valve was determined by filming with a video recorder. The number of valve beats each minute was counted, and then the average was computed. The specifications of the measuring devices are shown in Table 1. The uncertainty in Qs is estimated as δQs/Qs=0.02 due to the accuracy of the measuring device. The uncertainties in Qd and Qw are the same and estimated as 0.05 due to the parameters used. The uncertainties in Hd and Hs are estimated as 0.025. The uncertainty of η can be calculated as δη/η  = 0.06.Table 1
Measuring devices specifications.
Measurement
Instrument/manufacturer
Range
Accuracy (%)
Resolution
Pressure
At the drive pipe and
Pressure transducer
0–2.5 bar
±0.25
0.0001 bar
At the delivery pipe
Seimens SITRANS P200
0–4 bar
±0.25
0.0001 bar
At the air chamber
Burdon-tube gage
0–12 bar
—
0.5 bar
Water flow rate
Ultrasonic flow meter
At the drive pipe of flow
Seimens SITRANS FUP1010
±12 m/s
±0.5% to 2
0.1 L/min


### 3.2. Procedure

Before starting the pump, trapped air in the inlet to the drive pipe must be flushed out with water by opening the waste valve. The HRP will pump water to the delivery tank at most settings of the waste valve. The water flow rate can be varied quite easily by adjusting the turning of the control valve at the delivery line. However, if the control valve at the drive line is used instead, the waste valve must be adjusted, especially of valve beats for each flow rate.In this experiment, the water level at the supply tank was kept constant while the water flow was varied. The HRP can be made to operate under different conditions by which each of the following factors could be varied independently: (a) supply head, (b) air chamber pressure, and (c) waste valve beats per minute. No test of less than five minutes was made.


### 3.3. Evaluation of Pump Performance

#### 3.3.1. Supply Head

The effect of supply head on the HRP performance was studied in this case. For each supply head condition, the HRP was tuned to pump the greatest amount of water to the delivery tank at approximately the same number of waste valve beats per minute. It was found that the valve beat of 285 times/min is forHs = 2.5 m and that of 282 times/min is for Hs = 2.0 m. The variations of the supply flow rate, Qs, and delivery head Hd with delivery flow rate, Qd, are shown in Figures 3 and 4, respectively. It reveals that an increase in supply head Hs, tends to increase the delivery head Hd, delivery flow rate Qd, and supply flow rate Qs. Therefore, we can expect higher power added to the water at a higher supply head.Figure 3
Supply flow rate vs. delivery flow rate at difference head,hs = 2.0 and 2.5 m.Figure 4
Delivery head vs. delivery flow rate at difference head,hs = 2.0 and 2.5 m.Using the head ratio,H∗, and the flow rate ratio, Q∗, as parameters, the relationship of the two parameters reduces the amount of data scatter. Its head ratio, H∗, decreases with the flow rate ratio, Q∗ (Figure 5). At high Q∗, the value of H∗ decreases rapidly. A high H∗ (in this study H∗ > 1) means that Hd is increased, and a high Q∗ (in this study Q∗ < 1) means that water loss Qw is decreased. This curve shows that a HRP can pump high flow for low lift, but as the lift increases, the flow decreases.Figure 5
Head ratio vs. flow-rate ratio at difference head,hs = 2.0 and 2.5 m.Figure6 illustrates the HRP efficiency for the two different supply heads. The result shows that its efficiency reaches a peak near the maximum Q∗ for each supply head. It should be noted that, when the supply head increases, the velocity and momentum of water in the drive pipe also increases. The result shows that the increase in the supply head increase the pump flow rate, Qd, waste valve beats per minute, delivery power, and pump efficiency. Therefore, we must then try to make the supply head as large as possible. However, if the supply head is high and the drive pipe is long, the momentum of water in the drive pipe will be very high and the pump will be damaged. In this case, a large air chamber and air volume may be necessary to absorb the increased water hammer pressure that will occur in the HRP.Figure 6
Efficiency vs. flow-rate ratio at difference head,hs = 2.0 and 2.5 m.


#### 3.3.2. Air Chamber Pressure

The effect of air chamber pressure on the HRP performance was studied by replacing the PVC pipe with a pressure diaphragm tank as shown in Figure7. In this study, the pressure values inside the air chamber were as follows: 1, 2, and 3 bar for collecting data. During the three experiments, except the pressure inside the diaphragm tank, all other design/operational parameters are kept at their designed level. The experiment was performed at Hs = 2.5 m and the waste valve beat of 260 times/min.Figure 7
HRP body with diaphragm tank.Figures8 and 9 illustrate the variations of the head ratio and efficiency as a function of the flow-rate ratio at different pressures inside the air chamber, Pc = 1, 2, and 3 bar. As seen from the figures, an increase in air chamber pressure tends to decrease the overall efficiency of the pump. However, there was no significant difference on the HRP performance over a wide range of flow conditions. The main function of the air chamber is to absorb the water hammer pressure that will occur in the HRP. Water continues to flow into the air chamber until the unbalanced force caused by the difference between supply and delivery pressures reduces the velocity to zero. The kinetic energy after the water hammer is gradually transferred to potential energy by compression of the air in the chamber and then transferred to water in the ascending pipe by expanding the volume of air. Water can thus be pumped to a considerable height by periodically opening and closing the waste valve. The pressure in the air chamber is the delivery pressure. Due to the low compressibility of water, if little or no air is present in the chamber, the energy is immediately transferred to the entire ascending pipe system, and the air chamber may burst. Therefore, in practice, adjust air pressure in the chamber so that pulse in the pipe is at a minimum. The pressure is then used to lift water to a point higher than where the water originally started with the least energy expenditure.Figure 8
Head ratio vs. flow-rate ratio at the pressure difference pressure inside the air chamber,Pc = 1, 2, and 3 bar.Figure 9
Efficiency vs. flow-rate ratio at difference pressure inside the air chamber,Pc = 1, 2, and 3 bar.


#### 3.3.3. Waste Valve Beats per Minute

The effect of waste valve beats on the HRP performance was studied by replaced the check valve with a simple weighted impulse valve as shown in Figure10. The waste valve beat was determined by adjusting the dead weight on the valve stem. With the waste valve opening area kept constant, adding weights to the valve will allow a high flow rate through the waste valve and will reduce its number of valve beats each minute. This means that the waste valve’s motion in opening and closing will reduce. Taking into account the principle of the water hammer effect, a phenomenon occurs when the flowing water is suddenly brought to rest by closing the waste valve which results in a sudden increase in pressure in the pipe.Figure 10
Drawings of a modified waste valve.The variations of the supply flow rate,Qs, with delivery flow rate, Qd, are shown in Figure 11. It may be seen that an increase of waste valve beating decreases both flow rates. Figure 12 illustrates the variations of the delivery head Hd with a delivery flow rate for different valve beatings. The delivery head seems to decrease when valve beats per minute was increased. However, there was not much difference over a wide range of flow conditions when waste valve beats per minute was varied. It should be noted that with an increase in waste valve beats per minute, the time required to close the waste valve decreases. Thus, an increase of waste valve beats per minute decreases the quantity wasted per cycle. Figures 13 and 14 illustrate the variations of the head ratio and efficiency as a function of the flow rate ratio at different valve beats per minute, fb = 208, 244, and 285 times/min. The results from this study show that an increase of waste valve beats per minute will increase H∗, Q∗, and pump efficiency. Therefore, we must then try to make the waste valve beating as fast as possible. However, if the waste valve beating is too high, there will be no build up of the powerful hammer pulse, and the flow through the waste valve is stopped.Figure 11
Supply flow rate vs. delivery flow rate at different waste valve beat rates,fb = 208, 244, and 285 times/min.Figure 12
Delivery head vs. delivery flow rate at different waste valve beat rates,fb = 208, 244 and 285 times/min.Figure 13
Head ratio vs. flow-rate ratio at different waste valve beat rates,fb = 208, 244 and 285 times/min.Figure 14
Efficiency vs. flow-rate ratio at different waste valve beat rates,fb = 208, 244, and 285 times/min.


## 3.1. Apparatus

The experiment was performed in the HRP test rig (Figure2). The pump was made of PVC pipe and fittings. The HRP has a drive pipe of a nominal pipe size of 25 mm (1 inch). The drive pipe is connected to a supply tank with a slope of 45°, as shown in Figure 2.Figure 2
HRP test rig configuration.During the initial test, a brass check valve is used as the waste valve by mounting it in the reverse direction where the opening and closing of the valve are due to the weight of the valve disc. A brass spring check valve of size 25 mm (1 inch) is used as the discharge valve. The surge tank (or air chamber) was made of a PVC tube of size 75 mm (3 inches) with an end cap. Its total volume is 2.2 L and air volume is 1.8 L. The discharge line was made of PVC pipe of 12 mm (0.5 inch). The water flow rate was varied manually by means of a flow control valve which was installed on both the drive line and delivery line. The flow at the drive pipeQs was measured by an ultrasonic flow meter. The flow at the delivery pipe and that at the waste valve were collected in storage tanks during the test. The rate of delivering Qd and wasting Qw were determined by measuring the time required for a given quantity of water. Also, water pressure at the drive pipe and that at the delivery pipe were measured by pressure transducers. The total head at the drive or supply pipe Hs and that at the delivery pipe Hd were calculated from the measured flow rate and pressure of each pipe. The pressure at the air chamber is measured by a Bourdon-tube gauge. The motion of the waste valve was determined by filming with a video recorder. The number of valve beats each minute was counted, and then the average was computed. The specifications of the measuring devices are shown in Table 1. The uncertainty in Qs is estimated as δQs/Qs=0.02 due to the accuracy of the measuring device. The uncertainties in Qd and Qw are the same and estimated as 0.05 due to the parameters used. The uncertainties in Hd and Hs are estimated as 0.025. The uncertainty of η can be calculated as δη/η  = 0.06.Table 1
Measuring devices specifications.
Measurement
Instrument/manufacturer
Range
Accuracy (%)
Resolution
Pressure
At the drive pipe and
Pressure transducer
0–2.5 bar
±0.25
0.0001 bar
At the delivery pipe
Seimens SITRANS P200
0–4 bar
±0.25
0.0001 bar
At the air chamber
Burdon-tube gage
0–12 bar
—
0.5 bar
Water flow rate
Ultrasonic flow meter
At the drive pipe of flow
Seimens SITRANS FUP1010
±12 m/s
±0.5% to 2
0.1 L/min


## 3.2. Procedure

Before starting the pump, trapped air in the inlet to the drive pipe must be flushed out with water by opening the waste valve. The HRP will pump water to the delivery tank at most settings of the waste valve. The water flow rate can be varied quite easily by adjusting the turning of the control valve at the delivery line. However, if the control valve at the drive line is used instead, the waste valve must be adjusted, especially of valve beats for each flow rate.In this experiment, the water level at the supply tank was kept constant while the water flow was varied. The HRP can be made to operate under different conditions by which each of the following factors could be varied independently: (a) supply head, (b) air chamber pressure, and (c) waste valve beats per minute. No test of less than five minutes was made.


## 3.3. Evaluation of Pump Performance

### 3.3.1. Supply Head

The effect of supply head on the HRP performance was studied in this case. For each supply head condition, the HRP was tuned to pump the greatest amount of water to the delivery tank at approximately the same number of waste valve beats per minute. It was found that the valve beat of 285 times/min is forHs = 2.5 m and that of 282 times/min is for Hs = 2.0 m. The variations of the supply flow rate, Qs, and delivery head Hd with delivery flow rate, Qd, are shown in Figures 3 and 4, respectively. It reveals that an increase in supply head Hs, tends to increase the delivery head Hd, delivery flow rate Qd, and supply flow rate Qs. Therefore, we can expect higher power added to the water at a higher supply head.Figure 3
Supply flow rate vs. delivery flow rate at difference head,hs = 2.0 and 2.5 m.Figure 4
Delivery head vs. delivery flow rate at difference head,hs = 2.0 and 2.5 m.Using the head ratio,H∗, and the flow rate ratio, Q∗, as parameters, the relationship of the two parameters reduces the amount of data scatter. Its head ratio, H∗, decreases with the flow rate ratio, Q∗ (Figure 5). At high Q∗, the value of H∗ decreases rapidly. A high H∗ (in this study H∗ > 1) means that Hd is increased, and a high Q∗ (in this study Q∗ < 1) means that water loss Qw is decreased. This curve shows that a HRP can pump high flow for low lift, but as the lift increases, the flow decreases.Figure 5
Head ratio vs. flow-rate ratio at difference head,hs = 2.0 and 2.5 m.Figure6 illustrates the HRP efficiency for the two different supply heads. The result shows that its efficiency reaches a peak near the maximum Q∗ for each supply head. It should be noted that, when the supply head increases, the velocity and momentum of water in the drive pipe also increases. The result shows that the increase in the supply head increase the pump flow rate, Qd, waste valve beats per minute, delivery power, and pump efficiency. Therefore, we must then try to make the supply head as large as possible. However, if the supply head is high and the drive pipe is long, the momentum of water in the drive pipe will be very high and the pump will be damaged. In this case, a large air chamber and air volume may be necessary to absorb the increased water hammer pressure that will occur in the HRP.Figure 6
Efficiency vs. flow-rate ratio at difference head,hs = 2.0 and 2.5 m.


### 3.3.2. Air Chamber Pressure

The effect of air chamber pressure on the HRP performance was studied by replacing the PVC pipe with a pressure diaphragm tank as shown in Figure7. In this study, the pressure values inside the air chamber were as follows: 1, 2, and 3 bar for collecting data. During the three experiments, except the pressure inside the diaphragm tank, all other design/operational parameters are kept at their designed level. The experiment was performed at Hs = 2.5 m and the waste valve beat of 260 times/min.Figure 7
HRP body with diaphragm tank.Figures8 and 9 illustrate the variations of the head ratio and efficiency as a function of the flow-rate ratio at different pressures inside the air chamber, Pc = 1, 2, and 3 bar. As seen from the figures, an increase in air chamber pressure tends to decrease the overall efficiency of the pump. However, there was no significant difference on the HRP performance over a wide range of flow conditions. The main function of the air chamber is to absorb the water hammer pressure that will occur in the HRP. Water continues to flow into the air chamber until the unbalanced force caused by the difference between supply and delivery pressures reduces the velocity to zero. The kinetic energy after the water hammer is gradually transferred to potential energy by compression of the air in the chamber and then transferred to water in the ascending pipe by expanding the volume of air. Water can thus be pumped to a considerable height by periodically opening and closing the waste valve. The pressure in the air chamber is the delivery pressure. Due to the low compressibility of water, if little or no air is present in the chamber, the energy is immediately transferred to the entire ascending pipe system, and the air chamber may burst. Therefore, in practice, adjust air pressure in the chamber so that pulse in the pipe is at a minimum. The pressure is then used to lift water to a point higher than where the water originally started with the least energy expenditure.Figure 8
Head ratio vs. flow-rate ratio at the pressure difference pressure inside the air chamber,Pc = 1, 2, and 3 bar.Figure 9
Efficiency vs. flow-rate ratio at difference pressure inside the air chamber,Pc = 1, 2, and 3 bar.


### 3.3.3. Waste Valve Beats per Minute

The effect of waste valve beats on the HRP performance was studied by replaced the check valve with a simple weighted impulse valve as shown in Figure10. The waste valve beat was determined by adjusting the dead weight on the valve stem. With the waste valve opening area kept constant, adding weights to the valve will allow a high flow rate through the waste valve and will reduce its number of valve beats each minute. This means that the waste valve’s motion in opening and closing will reduce. Taking into account the principle of the water hammer effect, a phenomenon occurs when the flowing water is suddenly brought to rest by closing the waste valve which results in a sudden increase in pressure in the pipe.Figure 10
Drawings of a modified waste valve.The variations of the supply flow rate,Qs, with delivery flow rate, Qd, are shown in Figure 11. It may be seen that an increase of waste valve beating decreases both flow rates. Figure 12 illustrates the variations of the delivery head Hd with a delivery flow rate for different valve beatings. The delivery head seems to decrease when valve beats per minute was increased. However, there was not much difference over a wide range of flow conditions when waste valve beats per minute was varied. It should be noted that with an increase in waste valve beats per minute, the time required to close the waste valve decreases. Thus, an increase of waste valve beats per minute decreases the quantity wasted per cycle. Figures 13 and 14 illustrate the variations of the head ratio and efficiency as a function of the flow rate ratio at different valve beats per minute, fb = 208, 244, and 285 times/min. The results from this study show that an increase of waste valve beats per minute will increase H∗, Q∗, and pump efficiency. Therefore, we must then try to make the waste valve beating as fast as possible. However, if the waste valve beating is too high, there will be no build up of the powerful hammer pulse, and the flow through the waste valve is stopped.Figure 11
Supply flow rate vs. delivery flow rate at different waste valve beat rates,fb = 208, 244, and 285 times/min.Figure 12
Delivery head vs. delivery flow rate at different waste valve beat rates,fb = 208, 244 and 285 times/min.Figure 13
Head ratio vs. flow-rate ratio at different waste valve beat rates,fb = 208, 244 and 285 times/min.Figure 14
Efficiency vs. flow-rate ratio at different waste valve beat rates,fb = 208, 244, and 285 times/min.


## 3.3.1. Supply Head

The effect of supply head on the HRP performance was studied in this case. For each supply head condition, the HRP was tuned to pump the greatest amount of water to the delivery tank at approximately the same number of waste valve beats per minute. It was found that the valve beat of 285 times/min is forHs = 2.5 m and that of 282 times/min is for Hs = 2.0 m. The variations of the supply flow rate, Qs, and delivery head Hd with delivery flow rate, Qd, are shown in Figures 3 and 4, respectively. It reveals that an increase in supply head Hs, tends to increase the delivery head Hd, delivery flow rate Qd, and supply flow rate Qs. Therefore, we can expect higher power added to the water at a higher supply head.Figure 3
Supply flow rate vs. delivery flow rate at difference head,hs = 2.0 and 2.5 m.Figure 4
Delivery head vs. delivery flow rate at difference head,hs = 2.0 and 2.5 m.Using the head ratio,H∗, and the flow rate ratio, Q∗, as parameters, the relationship of the two parameters reduces the amount of data scatter. Its head ratio, H∗, decreases with the flow rate ratio, Q∗ (Figure 5). At high Q∗, the value of H∗ decreases rapidly. A high H∗ (in this study H∗ > 1) means that Hd is increased, and a high Q∗ (in this study Q∗ < 1) means that water loss Qw is decreased. This curve shows that a HRP can pump high flow for low lift, but as the lift increases, the flow decreases.Figure 5
Head ratio vs. flow-rate ratio at difference head,hs = 2.0 and 2.5 m.Figure6 illustrates the HRP efficiency for the two different supply heads. The result shows that its efficiency reaches a peak near the maximum Q∗ for each supply head. It should be noted that, when the supply head increases, the velocity and momentum of water in the drive pipe also increases. The result shows that the increase in the supply head increase the pump flow rate, Qd, waste valve beats per minute, delivery power, and pump efficiency. Therefore, we must then try to make the supply head as large as possible. However, if the supply head is high and the drive pipe is long, the momentum of water in the drive pipe will be very high and the pump will be damaged. In this case, a large air chamber and air volume may be necessary to absorb the increased water hammer pressure that will occur in the HRP.Figure 6
Efficiency vs. flow-rate ratio at difference head,hs = 2.0 and 2.5 m.


## 3.3.2. Air Chamber Pressure

The effect of air chamber pressure on the HRP performance was studied by replacing the PVC pipe with a pressure diaphragm tank as shown in Figure7. In this study, the pressure values inside the air chamber were as follows: 1, 2, and 3 bar for collecting data. During the three experiments, except the pressure inside the diaphragm tank, all other design/operational parameters are kept at their designed level. The experiment was performed at Hs = 2.5 m and the waste valve beat of 260 times/min.Figure 7
HRP body with diaphragm tank.Figures8 and 9 illustrate the variations of the head ratio and efficiency as a function of the flow-rate ratio at different pressures inside the air chamber, Pc = 1, 2, and 3 bar. As seen from the figures, an increase in air chamber pressure tends to decrease the overall efficiency of the pump. However, there was no significant difference on the HRP performance over a wide range of flow conditions. The main function of the air chamber is to absorb the water hammer pressure that will occur in the HRP. Water continues to flow into the air chamber until the unbalanced force caused by the difference between supply and delivery pressures reduces the velocity to zero. The kinetic energy after the water hammer is gradually transferred to potential energy by compression of the air in the chamber and then transferred to water in the ascending pipe by expanding the volume of air. Water can thus be pumped to a considerable height by periodically opening and closing the waste valve. The pressure in the air chamber is the delivery pressure. Due to the low compressibility of water, if little or no air is present in the chamber, the energy is immediately transferred to the entire ascending pipe system, and the air chamber may burst. Therefore, in practice, adjust air pressure in the chamber so that pulse in the pipe is at a minimum. The pressure is then used to lift water to a point higher than where the water originally started with the least energy expenditure.Figure 8
Head ratio vs. flow-rate ratio at the pressure difference pressure inside the air chamber,Pc = 1, 2, and 3 bar.Figure 9
Efficiency vs. flow-rate ratio at difference pressure inside the air chamber,Pc = 1, 2, and 3 bar.


## 3.3.3. Waste Valve Beats per Minute

The effect of waste valve beats on the HRP performance was studied by replaced the check valve with a simple weighted impulse valve as shown in Figure10. The waste valve beat was determined by adjusting the dead weight on the valve stem. With the waste valve opening area kept constant, adding weights to the valve will allow a high flow rate through the waste valve and will reduce its number of valve beats each minute. This means that the waste valve’s motion in opening and closing will reduce. Taking into account the principle of the water hammer effect, a phenomenon occurs when the flowing water is suddenly brought to rest by closing the waste valve which results in a sudden increase in pressure in the pipe.Figure 10
Drawings of a modified waste valve.The variations of the supply flow rate,Qs, with delivery flow rate, Qd, are shown in Figure 11. It may be seen that an increase of waste valve beating decreases both flow rates. Figure 12 illustrates the variations of the delivery head Hd with a delivery flow rate for different valve beatings. The delivery head seems to decrease when valve beats per minute was increased. However, there was not much difference over a wide range of flow conditions when waste valve beats per minute was varied. It should be noted that with an increase in waste valve beats per minute, the time required to close the waste valve decreases. Thus, an increase of waste valve beats per minute decreases the quantity wasted per cycle. Figures 13 and 14 illustrate the variations of the head ratio and efficiency as a function of the flow rate ratio at different valve beats per minute, fb = 208, 244, and 285 times/min. The results from this study show that an increase of waste valve beats per minute will increase H∗, Q∗, and pump efficiency. Therefore, we must then try to make the waste valve beating as fast as possible. However, if the waste valve beating is too high, there will be no build up of the powerful hammer pulse, and the flow through the waste valve is stopped.Figure 11
Supply flow rate vs. delivery flow rate at different waste valve beat rates,fb = 208, 244, and 285 times/min.Figure 12
Delivery head vs. delivery flow rate at different waste valve beat rates,fb = 208, 244 and 285 times/min.Figure 13
Head ratio vs. flow-rate ratio at different waste valve beat rates,fb = 208, 244 and 285 times/min.Figure 14
Efficiency vs. flow-rate ratio at different waste valve beat rates,fb = 208, 244, and 285 times/min.


## 4. Summary and Conclusions

The influence of any conditions of operation and performance on the rate of pumping and wasting in a HRP has been investigated in this study. The experiments on a HRP were conducted by which each of the following factors could be varied independently: (a) supply head, (b) air chamber pressure, and (c) waste valve beats per minute. Performance curves for variation of the head ratio, flow rate ratio, and pump efficiency at each condition have been determined.It may be seen that the supply flow rateQs, the delivery flow rate Qd, the delivery head Hd, and the pump efficiency η increase with increasing the supply head Hs. Using H∗ and Q∗ as parameters, the performance curves facilitated an understanding of its operation. Though the points are somewhat scattered, it can be seen that the flow-rate ratio at which the maximum efficiency occurs becomes higher as the supply head increases. It is also apparent that an increase in the supply head, decreases water loss at the waste valve (Qw). Under the action of the supply head, Hs, the water in the drive line is accelerated. As the flow velocity increases, the disc of the waste valve rises due to the drag of the plate. The closure will be very rapid.However, there was no significant difference on the HRP performance over a wide range of flow conditions when air chamber pressure was varied.An increase in waste valve beats per minute tends to decrease the supply flow rate, delivery flow rate, and delivery head. But it tends to increase the head ratio, the flow-rate ratio, and the overall efficiency of the pump. It must be pointed out that there is only a limited range of waste valve beating values for each particular HRP system.The dominant factors controlling the functioning of the HRP are the waste valve beats per minute and the supply head. A good waste valve design and proper adjustment are very essential for smooth and efficient HRP operation. For a given supply head, the HRP is tuned to pump the greatest amount of water possible, and this normally occurs when the waste valve beats per minute value is maximum. A more detailed analysis of the specific applications and the corresponding economic factors would be necessary to identify completely the relative merits of a HRP. Furthermore, work is in progress to study the technical feasibility for increasing lift of a conventional pump using a HRP.



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*Source: 9702183-2019-03-04.xml*