Liquid treatment apparatus with ring vortex processor and method of using same

Abstract

The present invention provides a liquid treatment apparatus with ring vortex processor for treating a liquid medium and, more particularly, to an apparatus and method for enhancing chemical reactions occurring in processes utilizing hydrodynamic cavitation. The liquid treatment apparatus with ring vortex processor efficiently utilizes fluid energy for cavitation bubble formation, maximizes the temperatures and pressures generated during bubble collapse, and minimizes damage caused by erosion.

Claims

1. A liquid treatment apparatus, comprising: a supply chamber for receiving a fluid; a discharge chamber for discharging the fluid; and a ring vortex processor extending from a position on said supply chamber to a position on said discharge chamber for providing a fluid flow path therebetween, wherein said ring vortex processor is operable to generate and collapse cavitation bubbles, said ring vortex processor comprising: an inlet nozzle positioned downstream of said supply chamber, said inlet nozzle having a cross dimension that is less than a cross dimension of said supply chamber for providing a fluid constriction, and including a nozzle discharge; a vortex formation chamber positioned downstream of said inlet nozzle and adjacent said nozzle discharge, said vortex formation chamber having a cross dimension that is greater than a cross dimension of said nozzle discharge; and an expansion portion positioned downstream of said vortex formation chamber, wherein a length of said vortex formation chamber is selected such that a first angle between a longitudinal axis of said vortex formation chamber and a line from an edge of said nozzle discharge to a point tangential said expansion portion is between approximately 8 and 12 degrees.

2. The liquid treatment apparatus of claim 1, wherein said ring vortex processor further comprises a vortex collapse chamber positioned downstream of said expansion portion, said vortex collapse chamber having a cross dimension that is greater than a cross dimension of said vortex formation chamber.

3. The liquid treatment apparatus of claim 1, wherein the cross dimension of said vortex formation chamber is between about 10 millimeters and about 500 millimeters.

4. The liquid treatment apparatus of claim 1, wherein said inlet nozzle includes a rounded inlet portion.

5. The liquid treatment apparatus of claim 1, wherein said nozzle discharge includes a sharp edge adjacent said vortex formation chamber.

6. The liquid treatment apparatus of claim 1, wherein said inlet nozzle further includes a nozzle entrance, and wherein a cross dimension of said nozzle entrance is greater than a cross dimension of said nozzle discharge.

7. The liquid treatment apparatus of claim 1, wherein said inlet nozzle further includes a nozzle entrance, and wherein a cross dimension of said nozzle entrance is at least approximately 2.25 times a cross dimension of said nozzle discharge.

8. The liquid treatment apparatus of claim 1, wherein said inlet nozzle further includes a nozzle entrance, and wherein a cross dimension of said nozzle entrance is between about 7 millimeters and about 225 millimeters.

9. The liquid treatment apparatus of claim 1, wherein a cross dimension of said nozzle discharge is between about 3 millimeters and about 100 millimeters.

10. The liquid treatment apparatus of claim 1, wherein the first angle is approximately 10 degrees.

11. The liquid treatment apparatus of claim 1, wherein a length of said vortex formation chamber is between about 14.5 millimeters and about 1400 millimeters.

12. The liquid treatment apparatus of claim 4, wherein a radius of said rounded inlet portion is at least approximately 0.625 times a cross dimension of said nozzle discharge.

13. The liquid treatment apparatus of claim 4, wherein a radius of said rounded inlet portion is between about 3 millimeters and about 100 millimeters.

14. The liquid treatment apparatus of claim 2, wherein the cross sectional area of said vortex collapse chamber is equal to approximately two times the cross sectional area of said vortex formation chamber.

15. The liquid treatment apparatus of claim 2, wherein a cross dimension of said vortex collapse chamber is between about 15 millimeters and about 1,000 millimeters.

16. The liquid treatment apparatus of claim 4, wherein said expansion portion includes a radius that is equal to a radius of said rounded inlet portion.

17. The liquid treatment apparatus of claim 1, wherein said expansion portion includes a radius that is between about 0 millimeters and about 25 millimeters.

18. The liquid treatment apparatus of claim 2, wherein a cross dimension of said vortex collapse chamber is less than a cross dimension of said discharge chamber.

19. The liquid treatment apparatus of claim 2, wherein a length of said vortex collapse chamber is selected such that a second angle between a longitudinal axis of said vortex collapse chamber and a line from a point tangential said expansion portion to an edge of said vortex collapse chamber adjacent said discharge chamber may be between approximately 8 and 12 degrees.

20. The liquid treatment apparatus of claim 19, wherein the second angle is approximately 10 degrees.

21. The liquid treatment apparatus of claim 2, wherein a length of said vortex collapse chamber is between about 11 millimeters and about 2,650 millimeters.

22. The liquid treatment apparatus of claim 2, wherein a length of said vortex collapse chamber is selected such that a resonant frequency within said vortex collapse chamber is equal to a resonant frequency within said vortex formation chamber.

23. The liquid treatment apparatus of claim 1, wherein the ratio of the cross sectional area of said vortex formation chamber relative to the cross sectional area of said inlet nozzle discharge is represented by the following formula: $\frac{A_{\mathrm{VFC}}}{A_{\mathrm{IND}}}=\frac{2{}_{\mathrm{IND}}}{P_{O,\mathrm{abs}}-P_{\mathrm{vap},\mathrm{abs}}}$ Where: A.sub.VFC=the cross sectional area of said vortex formation chamber; A.sub.IND=the cross sectional area of said inlet nozzle discharge; .sub.IND=the absolute net inlet head at said inlet nozzle discharge; P.sub.O,abs=the absolute outlet pressure at a discharge of said ring vortex processor; and P.sub.vap,abs=the absolute vapor pressure of the process fluid.

24. A liquid treatment apparatus, comprising: a supply chamber for receiving a fluid; a discharge chamber for discharging the fluid; and a ring vortex processor extending from a position on said supply chamber to a position on said discharge chamber for providing a fluid flow path therebetween, wherein said ring vortex processor is operable to generate and collapse cavitation bubbles, said ring vortex processor comprising: an inlet nozzle positioned downstream of said supply chamber, said inlet nozzle having a cross dimension that is less than a cross dimension of said supply chamber for providing a fluid constriction, and including a nozzle discharge; a vortex formation chamber positioned downstream of said inlet nozzle and adjacent said nozzle discharge, said vortex formation chamber having a cross dimension that is greater than a cross dimension of said nozzle discharge; and a vortex collapse chamber positioned downstream of said vortex formation chamber, said vortex collapse chamber having a cross dimension that is greater than a cross dimension of said vortex formation chamber, wherein a length of said vortex formation chamber is selected such that a first angle between a longitudinal axis of said vortex formation chamber and a line from an edge of said nozzle discharge to a point tangential said expansion portion is between approximately 8 and 12 degrees, and wherein a length of said vortex collapse chamber is selected such that a second angle between a longitudinal axis of said vortex collapse chamber and a line from a point tangential said expansion portion to an edge of said vortex collapse chamber adjacent said discharge chamber is between approximately 8 and 12 degrees.

Description

BRIEF DESCRIPTION OF THE DRAWINGS

(1) Embodiments of the invention will now be further described with reference to the drawings, in which:

(2) FIG. 1 is a longitudinal cross sectional view of an exemplary liquid treatment apparatus in accordance with an embodiment of the present invention;

(3) FIG. 1A is an end view of the exemplary liquid treatment apparatus of FIG. 1;

(4) FIG. 1B is an enlarged view of the expansion portion shown in FIG. 1;

(5) FIG. 1C is an enlarged view of an alternative expansion portion;

(6) FIG. 1D is an enlarged view of another alternative expansion portion;

(7) FIG. 2 is a longitudinal cross sectional view of the ring vortex processor shown in FIG. 1, further depicting illustrative representations of a fluid velocity profile;

(8) FIG. 3 is a longitudinal cross sectional view similar to FIG. 2, depicting the fluid velocity profile at a later moment in time;

(9) FIG. 4 is a longitudinal cross sectional view similar to FIGS. 2 and 3, depicting the fluid velocity profile at a later moment in time; and

(10) FIG. 5 is a longitudinal cross sectional view of the ring vortex processor shown in FIG. 1, further depicting illustrative representations of a ring vortex.

DETAILED DESCRIPTION

(11) Referring now to FIG. 1, a liquid treatment apparatus 10 includes a supply chamber 12, a discharge chamber 14, and a ring vortex processor 16 extending therebetween. The supply chamber 12 may have a substantially cylindrical configuration with a length and a constant cross dimension or diameter, and may be configured to receive a fluid supply, such as, for example, an untreated or partially contaminated fluid supply.

(12) The ring vortex processor 16 is positioned downstream of the supply chamber 12, and may include an inlet nozzle 18, a vortex generating or formation chamber 20, and an expansion portion 21. In one embodiment, the ring vortex processor 16 may further include a vortex collapse chamber 22. In other embodiments, however, the vortex collapse chamber 22 may be omitted and the end of the formation chamber 20 may be adjacent the discharge chamber 14.

(13) The inlet nozzle 18 may include an inlet nozzle entrance 24, an inlet nozzle discharge 26 adjacent the vortex formation chamber, and a smoothly rounded or arcuate portion 28 between the nozzle entrance 24 and discharge 26. The inlet nozzle 18 may be configured to generate a high velocity fluid jet with a top hat exit velocity profile (nearly uniform velocity across most of the channel transitioning rapidly to nearly zero velocity around the perimeter), as shown in FIG. 2, while maintaining laminar flow with minimal turbulence such that there may be few eddies within the fluid jet that may promote the formation of cavitation bubbles within the nozzle. Moreover, such a velocity profile results in the velocity of the periphery of the jet at the nozzle discharge 26 to be low, which may also minimize the formation of cavitation bubbles around the perimeter of the jet in close proximity to the nozzle 18. Therefore, the risk of nozzle erosion due to cavitation bubble collapse within the inlet nozzle 18 may be reduced.

(14) The diameter of the nozzle entrance 24 may be substantially greater than the diameter of the nozzle discharge 26. In one embodiment, for example, the cross dimension of the nozzle entrance 24 may be at least approximately 2.25 times the cross dimension of the inlet nozzle discharge 26. By way of further example, the cross dimension of the nozzle entrance 24 may be between about 7 millimeters and about 225 millimeters for many fluid applications, including, for example, water, such that the cross dimension of the nozzle discharge 26 may be between about 3 millimeters and about 100 millimeters. These ranges are merely exemplary and may vary depending on several factors, including the particular fluid. For example, in one embodiment utilizing water at ambient temperatures, the cross dimension of the nozzle entrance 24 may be about 36 millimeters, such that the cross dimension of the nozzle discharge 26 may be about 16 millimeters. However, as noted above, it will be appreciated that the cross dimensions of the nozzle entrance and discharge 24, 26 may vary for different fluid applications.

(15) In an alternative embodiment, an inlet nozzle may include an inlet nozzle entrance, an inlet nozzle discharge, and a conical (tapered) section therebetween (not shown). However, such an arrangement may be less effective, and may generate more turbulence within the inlet nozzle, resulting in a greater degree of cavitation induced erosion. In yet another alternative embodiment, an orifice plate type inlet could be utilized, but may also be less effective and may also experience a greater degree of cavitation induced erosion within the inlet nozzle.

(16) In one embodiment, the radius of the smoothly rounded portion 28 of the inlet nozzle 18 may be at least 0.625 times the diameter of the nozzle discharge 26. This size ratio may minimize energy loss within the inlet nozzle 18 resulting in low levels of turbulence and minimal disruption of the boundary layer (the layer of fluid near the boundary surface experiencing high shear stresses) so as to maximize laminar boundary layer thickness. It will be appreciated that a thick laminar boundary layer may help promote ring vortex formation while minimizing cavitation bubble formation within the nozzle 18. Preferably, the radius of the smoothly rounded portion 28 may be between about 1.5 millimeters and about 100 millimeters for many fluid applications, including, for example, water. It should be appreciated that this range may vary depending on several factors, including the particular fluid. For example, in one embodiment utilizing water at ambient temperatures, the radius of the smoothly rounded portion 28 may be about 12 millimeters. However, as noted above, it will be appreciated that the radius of the smoothly rounded portion 28 may vary for different fluid applications.

(17) The inlet nozzle discharge 26 may include a substantially sharp edge and may be at or approaching 90 degrees to the axis of fluid flow, in order to facilitate maximum pressure wave energy reflection within the vortex formation chamber 20 (more fully described below). It will be appreciated that maximizing pressure wave energy reflection within the vortex formation chamber 20 minimizes pressure wave energy losses due to the pressure wave passing through the inlet nozzle 18 to the upstream fluid, and also minimizes erosive damage to the inlet nozzle 18 that may otherwise be caused by cavitation within the inlet nozzle 18. This configuration may also serve to help facilitate the formation of ring vortices within the vortex formation chamber 20.

(18) The vortex formation chamber 20 may have a substantially cylindrical configuration with a length and a constant cross dimension or diameter, and may be operable to generate ring vortices. The cross dimension of the vortex formation chamber 20 may be substantially greater than the cross dimension of the inlet nozzle discharge 26. In one embodiment, the diameter of the vortex formation chamber 20 and the diameter of the nozzle discharge 26 may be interrelated by a specific ratio, which may be calculated for each application based upon a number of parameters including, for example, supply pressure, fluid density, fluid vapor pressure and discharge pressure. For example, the ratio of the cross sectional area of the vortex formation chamber 20 relative to the cross sectional area of the inlet nozzle discharge 26 may be:

(19) $\frac{A_{\mathrm{VFC}}}{A_{\mathrm{IND}}}=\frac{2{}_{\mathrm{IND}}}{P_{O,\mathrm{abs}}-P_{\mathrm{vap},\mathrm{abs}}}$

(20) Where:

(21) A.sub.VFC=the cross sectional area of the vortex formation chamber

(22) A.sub.IND=the cross sectional area of the inlet nozzle discharge

(23) .sub.IND=the absolute net inlet head at the inlet nozzle discharge

(24) P.sub.O,abs=the absolute outlet pressure at the ring vortex processor discharge (i.e., the end of the collapse chamber 22 adjacent the discharge chamber 14)

(25) P.sub.vap,abs=the absolute vapor pressure of the process fluid.

(26) It should be appreciated that a smaller area ratio may result in continuous cavitation, which may prevent formation of ring vortices, cavitation bubble cloud collapse, and the associated water hammer pressure pulse. Moreover, a substantially greater area ratio may result in a reduction in the amplitude of the water hammer pressure pulse, which may result in reduced pressures and temperatures generated upon cavitation bubble collapse. Preferably, the cross dimension of the vortex formation chamber 20 may be between about 10 millimeters and about 500 millimeters for many fluid applications. However, it should be appreciated that this range may vary depending on several factors, including the particular fluid. For applications utilizing water at ambient temperatures, the cross dimension of the vortex formation chamber 20 may be between about 10 millimeters and about 450 millimeters. For example, in one embodiment utilizing water at ambient temperatures, the cross dimension of the vortex formation chamber 20 may be about 50 millimeters. However, as noted above, it will be appreciated that the cross dimension of the vortex formation chamber 20 may vary for different fluid applications.

(27) In an exemplary embodiment, the length of the vortex formation chamber 20 may be such that a (hypothetical) fluid jet expanding at the free jet angle of expansion (approximately 11.8 degrees per side) will contact the internal wall of the vortex formation chamber 20 at or near the end of the vortex formation chamber 20 adjacent the expansion portion 21. As such, recirculation flow of the fluid may temporarily accelerate due to the reduced flow area available between the jet and the internal wall, as illustrated in FIGS. 3 and 4. The high recirculation velocity may facilitate the formation of ring vortices in the fluid stream. Specifically, the top hat flow profile of the jet flowing from the inlet nozzle discharge 26 may be converted to ring vortices, as schematically illustrated in FIG. 5 in phantom adjacent the end of the formation chamber 20. As the jet flows through the vortex formation chamber 20, additional fluid is entrained within the jet, increasing the diameter and reducing mean velocity. Counter-current flow adjacent the walls of the formation chamber 20 occurs to supply this additional fluid. Under such fluctuating flow conditions, ring vortices may be formed. Moreover, the vortices may become larger as more fluid is entrained in the fluid stream.

(28) Since the rotational velocity, diameter, and core pressure of each ring vortex may be varied by changing operating and design parameters, the vortex core pressure may be lowered sufficiently to form a cloud of cavitation bubbles. Moreover, as the recirculation flow accelerates, the pressure differential between the vortex formation and collapse chambers 20, 22 may increase, such that the pressure in the formation chamber 20 may decrease. It will be appreciated that a decrease in pressure in the vortex formation chamber 20 may cause additional bubbles to form within the vortices. Notably, as the cavitation bubbles are formed, the effective volume of the fluid increases.

(29) Therefore, an optimum length of the vortex formation chamber 20 may be selected based upon the diameter of the inlet nozzle discharge 26 and the diameter of the vortex formation chamber 20. It should be appreciated, however, that some degree of tuning may be required due to variations in working fluid viscosity or other factors. In one embodiment, the length of the vortex formation chamber 20 may be selected such that the angle .sub.1 between the axis of flow (or longitudinal axis of the vortex formation chamber 20) and a line drawn from the edge of the inlet nozzle discharge 26 to a point tangential to the radius of the expansion portion 21 may be between approximately 8 and 12 degrees, and preferably approximately 10 degrees. It should be appreciated that angles within this range approaching 12 degrees may result in ring vortex formation, but may result in reduced cavitation bubble cloud volume. Moreover, angles within this range approaching 8 degrees may also result in ring vortex formation, but may be less effective. Angles smaller than 8 degrees may be utilized, particularly with lower viscosity fluids, but may be even less effective in forming ring vortices. Preferably, the length of the vortex formation chamber 20 may be between about 14.5 millimeters and about 1400 millimeters for many fluid applications. However, it should be appreciated that this range may vary depending on several factors, including the particular fluid. For applications utilizing water at ambient temperatures, the length of the vortex formation chamber 20 may be between about 14.5 millimeters and about 1150 millimeters. For example, in one embodiment utilizing water at ambient temperatures, the length of the vortex formation chamber 20 may be about 100 millimeters. However, as noted above, it will be appreciated that the length of the vortex formation chamber 20 may vary for different fluid applications.

(30) The vortex collapse chamber 22 may have a substantially cylindrical configuration with a constant cross dimension or diameter, and may be operable to induce cavitation bubble cloud collapse within the ring vortices. For example, the cross dimension of the vortex collapse chamber 22 may be substantially greater than the cross dimension of the vortex formation chamber 20. In one embodiment, the cross sectional area of the vortex collapse chamber 22 may substantially equal approximately two times the cross sectional area of the vortex formation chamber 20, or the cross dimension of the vortex collapse chamber 22 may be substantially equal to approximately 1.5 times the cross dimension of the vortex formation chamber 20. It should be appreciated that a substantially smaller ratio may result in insufficient vortex diameter expansion, which may subsequently result in incomplete cavitation bubble collapse. Moreover, a substantially larger ratio may result in reduced water hammer pressure wave amplitude, which may subsequently result in reduced performance. Preferably, the cross dimension of the vortex collapse chamber 22 may be between about 15 millimeters and about 1,000 millimeters for many fluid applications. However, it will be appreciated that this range may vary depending on several factors, including the particular fluid. For applications utilizing water at ambient temperatures, the cross dimension of the vortex collapse chamber 22 may be between about 15 millimeters and about 675 millimeters. For example, in one embodiment utilizing water at ambient temperatures, the cross dimension of the vortex collapse chamber 22 may be about 76 millimeters. However, as noted above, it will be appreciated that the cross dimension of the vortex collapse chamber 22 may vary for different fluid applications.

(31) A smoothly rounded expansion portion 21 may be provided between the vortex formation and vortex collapse chambers 20, 22, in order to provide a gradual increase in diameter, as shown in FIG. 1B. In one embodiment, the expansion portion 21 may be configured with a radius substantially equal to the radius of smoothly rounded portion 28 of the inlet nozzle 18. Preferably, the radius of the expansion portion 21 may be between about 0 millimeters and about 25 millimeters for many fluid applications, including, for example, water. However, it will be appreciated that this range may vary depending on several factors, including the particular fluid. For example, in one embodiment utilizing water at ambient temperatures, the radius of the expansion portion 21 may be about 12 millimeters. However, as noted above, it will be appreciated that the radius of the expansion portion 21 may vary for different fluid applications.

(32) In another embodiment, a tapered expansion portion 21a may be provided between the vortex formation and collapse chambers 20, 22 (FIG. 1C). Alternatively, the vortex formation and collapse chambers 20, 22 may be adjacent each other, such that no expansion portion is provided (FIG. 1D). For example, the vortex formation chamber 20 may include a discharge having a sharp edge, similar to the inlet nozzle discharge 26.

(33) In operation, as a ring vortex (formed in vortex formation chamber 20) enters the vortex collapse chamber 22 via the expansion portion 21, the sudden expansion may allow the major diameter of the ring vortex to increase in a direction perpendicular to the axis of flow. This increase in the major diameter may cause the circulation flow within the vortex to follow a substantially elliptical path, rather than the former more circular path. As such, the ring vortex may be said to flatten in an axial direction, as illustrated in FIG. 5. This may reduce centrifugal force, which results in an increase in pressure within the vortices. As a result, the bubble cloud within the vortex may begin to collapse, generating high localized temperatures and pressures, as previously described. Moreover, the collapse may result in a sudden reduction in fluid volume, thereby causing a sudden reduction in downstream flow velocity which may generate water hammer pressure waves. These water hammer pressure waves may travel away from the bubble collapse in both upstream and downstream directions. While the amplitudes of these water hammer pressure waves may depend upon the mean flow velocity of fluid within the vortex formation and collapse chambers 20, 22, it is understood that the amplitudes may exceed 10 bar if using a smoothly rounded expansion portion 21.

(34) It is believed that the generated water hammer pressure waves may assist in collapsing nearby bubbles within the cloud as the waves travel away from the original bubble collapse, resulting in a substantially uniform collapse of the bubble cloud. Moreover, the pressure wave energy may be utilized in forming and collapsing additional cavitation bubbles throughout the ring vortex processor 16. In this regard, a low pressure phase of the water hammer pressure wave travelling upstream from the original bubble collapse may form additional cavitation bubbles within the vortex formation chamber 20. Subsequently, a pressure spike in the form of a high pressure phase of the water hammer pressure wave may rapidly collapse the additional cavitation bubbles, such that substantially no un-collapsed cavitation bubbles may remain within the processor 16.

(35) In one embodiment, the vortex collapse chamber 22 and inlet nozzle 18 may be configured to provide boundaries which trap the pressure wave energy within the ring vortex processor 16 in order to minimize the number of un-collapsed cavitation bubbles exiting the processor 16. By providing reflection of the pressure wave energy near the entrance and exit of the ring vortex processor 16, water hammer pressure waves may pass through the vortex formation and collapse chambers 20, 22 during the low pressure phase, such that cavitation bubbles may be formed. As the pressure wave energy reflects at or near the entrance and exit of the processor 16, even more cavitation bubbles may be formed therein. Subsequently, during the high pressure phase, the cavitation bubbles may be rapidly collapsed by the high frequency, high amplitude pressure pulse. The high pressure phase wave energy may be substantially entirely exhausted in the collapse of the cavitation bubbles, such that the pressure wave energy may dissipate prior to reaching the entrance and exit of the processor 16.

(36) Notably, in the absence of the vortex collapse chamber 22, a large fraction of the pressure wave energy resulting from the collapse of cavitation bubbles would be radiated in the form of a lower amplitude pressure wave, which would be much less effective at generating and collapsing additional cavitation bubbles.

(37) In order to achieve reflection of pressure waves near the entrance and exit of the ring vortex processor 16, the diameter of the inlet nozzle discharge 26 may be substantially less than the diameter of the vortex formation chamber 20, and the diameter of the vortex collapse chamber 22 may be substantially less than the diameter of the discharge chamber 14. It will be appreciated that the fraction of the pressure wave energy exiting the vortex collapse chamber 22 into the discharge chamber 14 may be approximately inversely proportional to the ratio of the cross sectional area of the discharge chamber 14 relative to the cross sectional area of the vortex collapse chamber 22. Similarly, the fraction of the pressure wave energy exiting the vortex formation chamber 20 into the inlet nozzle 18 may be approximately inversely proportional to the ratio of the cross sectional area of the vortex formation chamber 20 relative to the cross sectional area of the inlet nozzle discharge 26. For example, in one embodiment, the diameter of the discharge chamber 14 may be approximately two times the diameter of the vortex collapse chamber 22, such that the fraction of the pressure wave energy passing into the discharge chamber 14 may equal about 1.sup.2/2.sup.2, or about , of the total pressure wave energy. In other words, about or 75% of the pressure wave energy would be reflected at or near the exit of the ring vortex processor 16. In another embodiment, the diameter of the vortex formation chamber 20 may be approximately 3 times the diameter of the inlet nozzle discharge 26, such that the fraction of the pressure wave energy passing into the inlet nozzle 18 may equal about 1.sup.2/3.sup.2, or about 1/9, of the total pressure wave energy. In other words, about 89% of the pressure wave energy would be reflected at or near the entrance of the ring vortex processor 16.

(38) The length of the vortex collapse chamber 22 may be selected as a function of the diameter of the vortex formation chamber 20 and the diameter of the vortex collapse chamber 22. In one embodiment, the length of the vortex collapse chamber 22 may be selected in a manner similar to that previously described with respect to the length of the vortex formation chamber 20, such that the angle .sub.2 between the axis of flow (or longitudinal axis of the vortex collapse chamber 22) and a line drawn from a point tangential to the radius of the expansion portion 21 to an edge of the vortex collapse chamber 22 that is adjacent the discharge chamber 14 may be between approximately 8 and 12 degrees, and preferably approximately 10 degrees. Some tuning may be required due to variations in working fluid viscosity or other factors. Alternatively, the length of the vortex collapse chamber 22 may be adjusted such that the resonant frequency within the vortex collapse chamber 22 may be substantially equal to the resonant frequency within the vortex formation chamber 20. Preferably, the length of the vortex collapse chamber 22 may be between about 11 millimeters and about 2,650 millimeters for many fluid applications. However, it will be appreciated that this range may vary depending on several factors, including the particular fluid. For applications utilizing water at ambient temperatures, the length of the vortex collapse chamber 22 may be between about 11 millimeters and about 1,500 millimeters. For example, in one embodiment utilizing water at ambient temperatures, the length of the vortex collapse chamber 22 may be about 90 millimeters. However, as noted above, it will be appreciated that the length of the vortex collapse chamber 22 may vary for different fluid applications.

(39) While the present invention has been illustrated by a description of various preferred embodiments and while these embodiments have been described in some detail, it is not the intention of the Applicant to restrict or in any way limit the scope of the appended claims to such detail. Additional advantages and modifications will readily appear to those skilled in the art. Thus, the various features of the invention may be used alone or in numerous combinations depending on the needs and preferences of the user. There may be many variations of the design parameters which may be preferred, and the combination to be used will depend on preferences of the end user (e.g. pump performance parameters). Thus, alternative design parameters and methods of selecting design parameters may be used without departing from the spirit and scope of the present invention.