Abstract:
A fluid flow device in one embodiment comprising a housing having an aperture or a plurality of apertures therein and in another embodiment a single chamber with a piston such as a flexible member forming a chamber and a vibratory member for vibrating the flexible member to simultaneously eject an array of laminar flow fluid vortices that coalesce with each other to form a larger fluid vortex that can be used for direct cooling or for inducing circulation of a cooling fluid within an enclosure to cool the components within the system. When used within a closed system the inventor provides a zero net flux device as the fluid contained within a sealed chamber can be stirred, or mixed, without the introduction of fresh fluid from the outside the system.

Description:
FIELD OF THE INVENTION  
         [0001]    The invention relates generally to heat transfer systems and, more specifically, to a low profile, low energy, heat transfer device for generating laminar flow conditions to produce high efficiency heat transfer.  
         CROSS REFERENCE TO RELATED APPLICATIONS  
         [0002]    None  
         STATEMENT REGARDING FEDERALLY SPONSORED RESEARCH OR DEVELOPMENT  
         [0003]    None  
         REFERENCETO A MICROFICHE APPENDIX  
         [0004]    None  
         BACKGROUND OF THE INVENTION  
         [0005]    The use of a single synthetic fluid jet to produce air flow is not unusual or novel. One such devices is shown in Glezer et al. U.S. Pat. No. 6,123,145. However, we have discovered that when an array of orifices are coupled to a single fluid chamber one can synchronize the ejection of a plurality of synthetic fluid jets to create a low profile flat fan that generates significant, predictable and substantial fluid flow within a system that can be used for efficient cooling of desired components. In addition by limiting fluid flow conditions to a laminar flow one can produce a high efficiency cooling device.  
           [0006]    Traditionally, cooling equipment utilizes mechanical cooling device such as rotary fans. For example, in cooling electronic equipment within a cabinet enclosure a single fan or multiple fans can be used. The fans circulate the air within the enclosure to maintain a flow of cooler air across a component or components that need to be cooled. The flow of air across a component in the enclosure is intended to take advantage of Newton&#39;s Law of Cooling, which predicts that the amount of cooling, is related to the temperature differential between the flowing air and the component to be cooled. The amount of cooling obtainable within an enclosure, where fluid is circulated by a rotary fan, is dependent on various factors including the ability of the fan to move cooler air across a warmer surface of a component, which results in heat transfer from the warmer surface to the cooler air.  
           [0007]    One limitation of using cooling device such as a fan within an enclosure is that the input electrical energy required to power the fan increases the amount of heat within the enclosure. Consequently, the heat produced by the fan must also be dissipated.  
           [0008]    Another limitation of a cooling device, such as a fan, is the generation of turbulent air flow. Although the temperature differential between the cooling air and the component is related to the cooling efficiency, if the air flow is turbulent rather than laminar, it can result in significant inefficiencies in heat transfer and thus can significantly degrade the overall efficiency and thus effectiveness of the cooling system.  
           [0009]    The use of a synthetic air or gas jet for cooling as to opposed to the use of a rotary fan circumvents many of the inherent problems associated with the use of rotary fans within an enclosure. For example, the aforementioned use of a rotary fan results in significant energy consumption within the cabinet, some of which is expended in the form of heat while a synthetic fluid jet generally adds little heat to the system. As a result, in a cooling system using a rotary fan the excess heat generated by the fan is typically compensated for by either adding more fans or supplying additional power to the fan. Unfortunately both methods of compensation increase the heat load to be dissipated.  
           [0010]    In addition as a result of adding more rotary fans or increasing the flow rate the fluid flow paths inside the enclosure can become convoluted and asymmetric causing turbulent or slug flow conditions. The occurrence of turbulent flow or slug flow decreases the heat transfer efficiency. To overcome the decrease in efficiency as a result of turbulent or slug flow one usually supplies more power to the rotary fan system in an effort to increase the flow rate of the fluid within the enclosure chamber.  
           [0011]    Thus, the increase in flow rate of fluid within a rotary fan system generally results in several detrimental effects. First, the heat generated in the cabinet increases because of the additional power supplied to the rotary fan. Second, turbulent or slug flow within the cabinet not only decreases the cooling efficiencies it can increase the airborne audible noise. In fact, turbulent fluid flow or slug flow within the cabinet can result in a substantial increase in the audible output of the enclosure as well as structure borne noise due to speaker like output of flat panels impinged by turbulent flow. Finally, the use of large rotary fans to provide cooling within an enclosure can result in high frequency vibrations within the enclosure, often resulting in a degradation of the expected life of the components.  
           [0012]    With the present invention a flat fan generates an array of synthetic fluid jets that smoothly blend in to a larger synthetic fluid jet while maintaining laminar flow conditions. At the same time the flat fan array of the present invention requires little energy consumption, generates no audible noise and also produces no discernible vibration within the enclosure while efficiently transferring heat.  
         DESCRIPTION OF THE RELATED ART  
         [0013]    U.S. Pat. No. 4,363,991, entitled Drag Modification Piezoelectric Panels issued Dec. 14, 1982 to Edelman, describes a method and means to increase or decrease the drag exerted by a fluid on the boundary enclosing the fluid. The invention describes a means of measuring the pressure exerted by the fluid on piezoelectric devices located near or on the boundary, and that this pressure signal is utilized to provide control input to a series of piezoelectric actuators which will cause a flexing of the device either towards or away from the flow direction of the fluid. This device is shown applied within vessels such as pipes or other similar fluid conveyance device.  
           [0014]    U.S. Pat. No. 5,921,757, entitled Piezoelectric Fan issued Jul. 13, 1999 to Tsutsui et al., describes a Piezoelectric fan comprised of at least one piezoelectric plate of large aspect ratio, with conductive materials located on each side of the plate. Additionally, one side of the plate is formed with stiffening ridges, forcing the piezoelectric element to flex in only one direction. As the piezoelectric element flexes, the element takes on the shape of a low-order wave form, as it is limited in motion in one dimension by the ridges. This waveform amplitude and shape are defined by the potential difference placed across the conductive plates. With careful control of the potential difference, the fan element can be made to wave, producing a desired wind in a desired direction.  
           [0015]    U.S. Pat. No. 4,780,062, entitled Piezoelectric Fan issued Oct. 25, 1988 to Yamada, et al., describes a piezoelectric fan which includes a tuning-fork type vibrating element. A blade is attached to the end of the assembly which is excited by means of conductors placed adjacent to the surface of the piezoelectric vibrator element. The element is made to vibrate like a tuning-fork by means of a potential difference across the conductive surfaces. This vibration is utilized as an input to the flexible blade member, which will vibrate with a larger amplitude, thus producing fluid motion. This motion will be away from the tip of the blade, and will fluctuate in velocity. This fan may then be incorporated into a chamber to further facilitate the motion of fluids, as though it were traveling through a pipe. This invention discloses a method of utilizing a piezoelectric element to produce air movement, but does not disclose a synthetic fluid jet technique.  
           [0016]    U.S. Pat. No. 5,894,990, entitled Synthetic Jet Actuator and Applications Thereof issued Apr. 20, 1999 to Glezer, et al., describes a synthetic jet actuator, which produces a series of vortices that can be used for entraining adjacent fluid. The jet actuator can be used to bend the output direction of an adjacent jet stream or other such control applications. Glezer notes that a synthetic jet is useful in cooling applications. Glezer notes that a synthetic jet might be directed within an enclosure to blow at a warm surface. Unfortunately, anything placed within the path of a vortex created by a synthetic fluid jet destroys the vortex. Thus the cooling proposed by Glezer ignores the destructive nature of the technique.  
         SUMMARY OF THE INVENTION  
         [0017]    A fluid flow device comprising a housing having a plurality of apertures therein and a single chamber located behind the plurality of apertures with a piston such as a flexible member extending across a side of the chamber and a vibrator member for vibrating the flexible member to simultaneously eject an array of laminar fluid vortices that coalesce with each other to form a larger fluid vortex that can be used for direct cooling or for inducing circulation of a cooling fluid within an enclosure to cool the components within the system. A rotating offset weight can be used with a single aperture to provide a high efficiency vortex generator. When used within a closed system the invention provides a zero net flux device as the fluid contained within a sealed chamber can be stirred, or mixed, without the introduction of fresh fluid from outside the system.  
       
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS  
       [0018]    [0018]FIG. 1 is a cross-sectional view of a synthetic jet device used to produce movement of a fluid normal to the surface plate;  
         [0019]    [0019]FIG. 2 is the cross sectional view of the synthetic fluid jet device of FIG. 1 illustrating the sequential generation of fluid vortices;  
         [0020]    [0020]FIG. 3 is a top view of the flat fan device having an array of apertures positioned so as to provide a maximum flow advantage;  
         [0021]    [0021]FIG. 4 is a cross-sectional view of the flat fan device of FIG. 3 showing the surface plate with the apertures therein and the single fluid supply chamber behind the surface plate;  
         [0022]    [0022]FIG. 5 is a partial schematic view illustrating the multiple torus flow pattern created by a synthetic jet device having a plurality of orifices as the fluid moves normal to an expelling surface;  
         [0023]    [0023]FIG. 6 is a partial schematic view of FIG. 5 illustrating the multiple torus flow pattern as each of the vortices have moved away from the expelling surface;  
         [0024]    [0024]FIG. 7 is a partial schematic view of FIG. 5 illustrating how the multiple torus flow pattern have coalesced with each other to form a single torus vortex continue to move normal to the expelling surface;  
         [0025]    [0025]FIG. 8 is a cross-sectional view of a simplified flat fan device illustrating the fluid circulation obtained within an enclosure;  
         [0026]    [0026]FIG. 9 is a front view of a vibrator comprising a dc motor having a rotating shaft with a radially offset weight; and  
         [0027]    [0027]FIG. 10 is an end view of the vibrator of FIG. 9; and  
         [0028]    [0028]FIG. 11 is a schematic view if an orifice and fluid chamber for illustrating the fluid flow regimes proximate the orifice. 
     
    
     DESCRIPTION OF THE PREFERRED EMBODIMENT  
       [0029]    [0029]FIG. 1 shows a schematic view of simple single synthetic fluid jet device for generating a sequence of fluid vortices having the shape of a torus. The device comprises a housing or expelling plate  11 , which has a single orifice or aperture  12  having a central axis  13  located normal to a surface  11   a  and parallel to the sidewall  11   b  of aperture  12 . Expelling plate  11  and sidewall  17  cooperate with membrane  14  to form a chamber  15 . While the diameter “d” of the aperture can vary, it is generally accepted that a diameter “d” smaller than the chamber depth “w” is appropriate as this enables the volume change of fluid within the chamber  15  which is partially enclosed by flexible membrane  14  to be sufficient to provide a flow of fluid out of chamber  15  through orifice  12 . Expelling plate  11  is made from a rigid material such as metal or plastic in order to maintain the integrity of the apertures therein as well as amount of flow through the apertures.  
         [0030]    A vibrator  19 , which is adhesively secured to flexible membrane  19 , produces vibration in membrane  14  as indicated by the arrows. Vibrator  19  comprises a miniature dc motor having a central rotating shaft with an offset weight located on the shaft. The rotation of the shaft with an offset weight generates substantial vibration with a small amount of energy. The vibrator motor is illustrated in greater detail in FIGS. 8 and 9. In operation of the flat fan device shown in FIG. 1 the flow discharges from chamber  15  orifice  8  and also enters chamber  15  through the same orifice  8 , resulting in a zero net flux device. While the present invention is usable with numerous fluids including liquids such as oil and water in most applications a gas such as air is preferred. Optional vibrators could include mounting a movable coil within a fixed magnetic field.  
         [0031]    Membrane  14  can be a flexible membrane, or can be a stiff membrane, which has been flexibly attached to the supporting wall  17  secured to housing  11  or could be a slidable piston. The flexible attachment should provide a hinge that is durable enough to allow constant flexing of the hinge, while at the same time providing an airtight seal for the chamber  15  except for the aperture  12 . By having aperture  12  the only ingress and egress in housing requires that all the fluid has to flow to or from chamber  15  through the single orifice  12 . While a straight sided round aperture  12  is shown and described other shape apertures can be used to provide advantage under special conditions.  
         [0032]    [0032]FIG. 2 is the cross sectional view of the synthetic fluid jet device  10  of FIG. 1 illustrating the sequential generation of fluid vortices. A first vortex  38  in the shape of a torus is shown next to expelling plate  11 . Vortex  38  has a toroidal diameter indicted by d 1  and a cross sectional diameter indicated by d a . A second vortex  39  also in the shape of a torus is shown spaced from expelling plate  11 . Vortex  39  has a toroidal diameter indicated by d 2  and a cross sectional diameter indicated by d b . FIG. 2 illustrates how a single torus vortex is expelled from an orifice and how the torus diameter and the torus cross sectional diameter increases as the vortex moves away from plate  11 . Reference numeral  14  and the solid line indicates the position of the membrane  14  at a moment when chamber  15  is in a minimum volume condition and the dashed lines and reference numeral  14 ′ indicates the position of the membrane when the chamber is in a maximum volume condition.  
         [0033]    The flat fan device  10  illustrated in FIG. 1 uses a dc motor with an offset weight that produces substantial vibration of membrane  14  to generate a significant amount of flow without adding a significant amount of heat energy to the system. In the flat fan device  10   a  set of vortices can be directed away from the expelling plate  11  to cool an object located remotely from the flat fan.  
         [0034]    [0034]FIG. 2 shows a single synthetic jet  10  with a surface plate  11 , a radial spacer  17 , a moving membrane  14 , and an orifice  12  and a vibrator member  19 . This system is designed to be actuated at a high frequency, resulting in essentially continuous formation of vortices in the shape of a torus being discharging from the front of the surface plate  33 .  
         [0035]    In operation of the system with a fluid such as air, a toroidal shaped vortex  38  is formed by the expulsion of air from the surface plate  11  by means of the moving membrane  14 . As a portion of the air in chamber  15  is forced out through orifice  12 , the velocity of the portion of air flowing past the outer surface  12   a  slows because of the boundary layer located along the outer surface  12   a . This results in the expelled air traveling faster in the center of the stream than near the outer peripheral edge. The unequal velocities across the fluid stream discharging from aperture  12  produces a circular rotation of the air as it travels normal to the surface plate  11 . As a result the air being discharged from aperture  11  forms a vortex having a ring or torus shape with a circulation about a circular axis extending through the center of the torus. In the present invention, we maintain the fluid flow in a laminar flow condition. Generally, by maintaining the Reynolds number, which is ratio of viscous forces to inertia forces below 2000 the fluid can be maintained in a laminar flow condition. By limiting the velocity of the air through the aperture by controlling the amplitude and frequency of the membrane one can ensure that the flow can be maintained in a laminar flow state.  
         [0036]    [0036]FIG. 2 shows a cross sectional view of two torus shaped vortices with the circulation of the fluid within the torus indicated by the arrows. This torus shape is similar to a smoke ring that is expelled from a smoker&#39;s mouth. FIG. 2 also illustrates a first fluid ring  38  that is being formed by a pulse of air from chamber  15  and a second fluid ring  39  that was formed by a previous pulse of air from chamber  15 . Additional fluid rings can be intermittently formed by a high frequency pulsing of the membrane  14 . By maintaining the pulsing energy sufficient low to maintain the Reynolds number of the fluid less than 2000 results in a sequence of laminar flow vortex that move away from the surface plate  33 .  
         [0037]    In order for the chamber  15  to refill once the torus  38  has exited the immediate region of the surface plate, the incoming air must travel along the surface of the surface plate  11  and through aperture  12 . This flow path laterally along the surface  11  ensures that the air expelled in a torus by the orifice  12  will not be the same air used to replenish the air in chamber  15 . As the amount of air leaving the chamber is equal to the amount of air entering the chamber it produces a zero net flux device. The frequency of the output of torus shaped vortices is limited by the need to maintain a laminar flow of fluid through the orifice in both directions. Should the flow of fluid be allowed to become turbulent, which generally occur with a Reynolds Number exceeding 2000, the flat fan system will lose effectiveness as vortex formation is limited within a disturbed flow environment.  
         [0038]    While the principal of operation of a synthetic fluid jet device is illustrated in FIG. 1 and FIG. 2 together with a unique membrane vibrator, a system for generating a significant fluid flow utilizing an array of apertures and a single chamber is illustrated in FIGS. 3 and 4.  
         [0039]    [0039]FIG. 3 is a top view of the flat fan device  30  depicting a circular housing flange  23  having an expelling plate  24  with an array of holes  26  located so as to provide maximum flow while maintaining laminar flow conditions. Flat fan device  30  includes an outer circular housing member  21  that is secured to a support  20  for attachment to a surface of an object that is to be cooled.  
         [0040]    [0040]FIG. 4 is a cross-sectional view of the flat fan device of FIG. 3 taken along the lines  4 - 4  showing the array or expelling plate  24  located in front of a single chamber  29  which is located directly behind the array plate  24 . A membrane  32  extends across housing  23  to form a chamber  29  behind the array plate  24 . Attached to membrane  32  is a vibrator  25  which is located within a second chamber  31 . In the embodiment shown the vibrator  25  is positioned outside the flow chamber  29 ; however, the vibrator could also be located within chamber  29  if the maximum amplitude of the membrane  32  during oscillation does not cause the vibrator to become ineffective by contact with the backside of the expelling plate  24 . As can be seen in FIG. 4 a single chamber  29  is located behind an expelling plate having a plurality of holes or orifices therein to provide a low profile flat fan device.  
         [0041]    In order to illustrate the array operation of the invention reference should be made to FIGS.  5 - 7  that illustrates a sequence of events occurring when a single chamber is used in conjunction with an array plate having a plurality of holes therein.  
         [0042]    [0042]FIG. 5 shows a flat fan device  60  comprising an array plate  40  having a plurality of apertures  45 ,  46  and  47  with a side wall  41  connected to plate  40  and flexible member  42  to creates a chamber  50 . While FIG. 1 illustrates a single chamber for each orifice the device illustrated in FIG. 2 shows a single chamber  50  and a torus is located at each of the orifices. That is, the movement of member  42  produces multiple vortices, a first torus  55 , a second torus  56  and a third torus  57  each being expelled normally from expelling plate at substantially the same time. By positioning of a number of apertures in the array plate in a concentrically spaced arrangement one can ensure that approximately equal amounts of air is expelled through each of the apertures and that a laminar flow condition is maintained at each aperture.  
         [0043]    The concentrically spaced aperture arrangement which provides substantially equal aperture discharge areas at concentric regions of the array has been found to maximize the ability of the air to be expelled through the apertures  45 ,  46  and  47  utilizing a single actuating membrane while at the same time maintaining a laminar flow condition throughout the aperture plate. A regular evenly spaced pattern could result in a lower flow velocity along the outer edges of the pattern due to the larger area provided by the larger number of holes. The concentric arrangement of orifices to provides nearly uniform discharge area within a given radial distance from the center and provides for formation of toruses of equal strength at each of the apertures in the array expelling plate  40 . The maintenance of a nearly flat velocity profile for the expelled fluid maintains and sustains the toruses over a long distance.  
         [0044]    FIGS.  5 - 7  demonstrates a simplified version of the array of holes or apertures  8  utilized in the surface plate  40 . For purposes of illustrating the operation of the invention the array of apertures is reduced to three specific orifices  45 ,  46 , and  47  to demonstrate the coalescing feature of the invention.  
         [0045]    In the embodiment shown, the three orifices  45 ,  46  and  47  are located adjacent to one another within the surface plate  40 . The motion of membrane  42  provides a change in volume of the chamber  50 , resulting in the expulsion of fluid through the orifices  45 ,  46  and  47 . This results in the aforementioned vortex at each orifice.  
         [0046]    [0046]FIG. 5 shows that as the multiple vortices  55 ,  56  and  57  are substantially formed at the same time. The vortices are located essentially normal to the plate  40  and evenly spaced from each other. Note, that the multiple vortices  55 ,  56  and  57  are formed by a single membrane  42 . Consequently, the vortices  55 ,  56  and  57  move at the same velocity and in the same direction away form plate  40 . As these vortices  55 ,  56  and  57  continue to move away from the surface plate  40 , they reach a point where they touch at the outer perimeters illustrated in FIG. 6.  
         [0047]    [0047]FIG. 6 illustrates each of the vortices  55 ,  56  and  57  where the integrity of each of the torus shaped vortices is about to disappear and be replaced with a single torus shaped vortex. FIG. 6 also illustrates the flat fan device  60  illustrating the position and size of the torus  55 ,  56  and  57  a few moments after being expelled from their respective apertures. Note, each of the torus  55 ,  56  and  57  have increased their torus diameter and each have increased their torus cross section as they move away from expelling plate  40 . FIG. 6 illustrates the point where the outer annular surface of each of the torus engages the outer annular surface of an adjacent torus.  
         [0048]    [0048]FIG. 7 illustrates the coalescing effect as torus  55 ,  56  and  57  at a later moment in time. That is, vortices  55 ,  56  and  57  have coalesces to form a single torus  61 . The single torus  61  has gained the energy of all the smaller vortices and produces a substantial flow of air in a single torus that continues to travel outward until it encounters an object. Thus through use of a set of spaced apart apertures one can focus the energy of an expelled vortex by combining it with other expelled vortices. Thus the present flat fan invention can produce a laminar flow of air normal to the surface plate and directed essentially in a straight line away from the expelling plate  40 . The coalesced flow continues in a straight line until air friction reduces the velocity of the air motion within the torus until the torus slows to the point of vortex collapse. Through coalescing of the torus shaped vortexes after expulsion from the expelling plate we have produced a the flat fan invention that can propel a fluid such as air a significant distance from the flat fan device.  
         [0049]    [0049]FIG. 8 is a cross-sectional view of a simplified flat fan device  60  illustrating the fluid circulation obtained within an enclosure  80 . Enclosure  80  includes a member  87  which is to be cooled by flow of air therepast. The flat fan  60  which is illustrated in FIG. 5 is positioned in the plane of member  87  with the array plate  40  extending along the plane of member  87 . A set of sequential torus shaped vortexes are shown positioned normal to array plate  40 . The first set of torus shaped vortices  81  are in a spaced apart condition, the second set of torus shaped vortices  82  are in outer annular surface contact with each other but are still have the integrity of an individual torus. Located beyond torus  82  is a single torus shaped vortex  83  that has been formed from the coalescing of multiple vortices. Located in a direction normal to plate  40  and beyond array plate  40  is a further torus  84  which has moved further away from plate  40 . As a result of the normal direction of the torus shaped vortices away from plate  40  and the coalescing of the vortices one can induce a substantial circulation of air within enclosure  80  as indicated by the arrows therein. As a result the air returning to chamber  50  can flow past member  87  to induce heat transfer. Thus a continued sequential generation of torus shaped vortices can be used to induce fluid flow past an object to be cooled. By maintaining the fluid flow in the vortices in a laminar flow condition one creates a high efficiency heat transfer device.  
         [0050]    [0050]FIG. 9 is a front view of a vibrator comprising a dc motor  19  having a rotating shaft  19   a  with a radially offset weight  10   b  mounted thereon. FIG. 10 is an end view of the vibratory of FIG. 9 showing the position of offset with  19   b  with respect to shaft  19   a.    
         [0051]    An actuator or vibrator member  19  can be located either within the chamber and in engagement with membrane or outside the chamber and in engagement with the member as illustrated in FIG. 3. The purpose of the vibrator member  28  is to physically change the position of the membrane. This actuator must be reasonably small and efficient to enable the movement of the membrane at a high frequency while simultaneously limiting the amount of energy consumed. The lower consumption of energy of the vibrator enables the flat fan to cool a given volume without the inadvertent introduction of additional heat sources. A vibrator member comprises a dc motor with an offset or eccentric weigh secured to the shaft of the dc motor provides an ideal vibratory source since a small amount of energy is required to produce the necessary vibration to drive the membrane in a back and forth manner to force fluid out of chamber and to draw fluid into chamber.  
         [0052]    The combination of multiple vortices occur at some distance after initial contact which will vary based upon fluid viscosity and velocity of the flow stream. Although some elements of the original vortices remain, this combination effect results in a focused stream of fluid that can travel a significant distance prior to dissipating. This feature is useful as it provides more focused airflow than might be expected from a turbulent flow device such as a rotating fan blade using the same energy input. In addition the combining effect results in the flow traveling much farther than if there were not combined. Thus the invention can be utilized as a focused stream of fluid or as a fluid stirring system for an enclosure.  
         [0053]    [0053]FIG. 11 shows an orifice  90  in cross-section to illustrate the additional cooling of the fluid stream by taking advantage of the Venturi effect. In this particular case, two data points will be examined, which are depicted by A and B respectively. At point A, the fluid is pushed into the orifice due to upward movement of the member  91 . Note that this diagram shows only a single orifice, but the concept can be expanded to include any number of orifices with a single chamber. The higher pressure at point A results in fluid flow through the beveled orifice towards B. Note that the bevel  92  is included on the inner side of the orifice and is in the chamber in order to smooth the pressure transition from the chamber into the orifice body. This transition results in a fluid traveling through the orifice  90 , where it is expelled at point B. The corners of orifice on the outside of orifice  90  are sharp in order to get the torus to detach properly. The Venturi effect then occurs, where rapid expansion of the pressurized fluid against the surrounding environment will result in a rapid cooling of the fluid. This can be illustrated with the Universal Gas Law.  
         [0054]    It is known that:  
         P A V A =N R A T A    
         [0055]    Likewise:  
         P B V B =N R B T B    
         [0056]    These two equations can be related by virtue of their conservation of energy within a system, and after simplification, it can be seen that:  
         P A V A /N R A T A =P B V B /N R B T B    
         [0057]    The Universal Gas Constant and Reynolds Number cancel:  
         P A V A /T A =P B V B /T B    
         [0058]    Finally:  
         T B /T A =P B V B /P A V A    
         [0059]    This equation demonstrates that as the fluid expands at point B, denoted by an increase in volume, the temperature decreases. This is primarily due to the fact that the vortex formation keeps the pressure from dropping rapidly, and results in an overall cooling of the fluid stream. This cooling effect has been measured in physical models of the flat fan synthetic jet array. Thus, a synthetic jet array as described herein is useful as a cooling device when coupled with a beveled orifice, which will provide fluid stream cooling based upon the Venturi effect.  
         [0060]    When the fluid is brought into the chamber  93  by means of the retraction of piston  91 , the fluid mixes within the chamber  93  with the fluid located adjacent to the surface of piston  91 . While the newly introduced fluid moves across the surface of piston  91 , it transfers heat from the fluid to the piston. In the event the piston is located outside a closed system the use of a flat fan can provide a net decrease in thermal energy within a closed system by extracting heat from the piston.  
         [0061]    Thus with the present invention a vibrating flexible membrane causes a volume of the fluid chamber to periodically increase and decrease with the decrease in volume of the fluid chamber simultaneously expelling a fluid vortex from each of a plurality of spaced apertures with the fluid vortex expelled from each of the plurality of spaced apertures coalescing to create a larger fluid vortex.  
         [0062]    Additional methods would include electromechanical means of causing motion of the membrane. For example, a fixed magnet can be attached to the membrane surface, and a moving magnetic field can be introduced. This can result in predictable movement of the magnet in response to the changing fields. A similar device can be provided where a moving electromechanical coil is introduced into a fixed magnetic field resulting in relative motion between the membrane and the flat fan surface. These additional methods typically require more energy input to provide flow, requiring further cooling from the flat fan device.