• No se han encontrado resultados

MEJORA CONTINUA

2.12 LA MEJORA CONTINUA 23

A Computational Fluid Dynamics approach using Ansys CFX was used to study the performance of Tesla Turbomachinery, focusing on the radial outflow case. Two disk geometries were studied, one with air and the other with water.

Back pressures were changed and pressure and efficiency was plotted against flow rate and Reynolds numbers. Another plot of dimensionless flow rate against dimensionless back pressure was used to reveal more results. Based on

this analyisis, the disk pump or compressor should be able to opperate at high efficiency at flow rates much higher than previously published results show.

There is a general insensitivity to increased flow between the disks. Flow pat-terns that vary from predicions from other researchers have been observed at many flow conditions and there is a great deal of understanding of these flow patterns missing from the literature. Both pure parabolic profiles and inflected flow profiles were revealed at optimum efficiency points. A critical dimension-less flow rate was discovered at which performance quickly changes. This flow rate was found to be about 0.07. This critical flow rate allows unification of results presented by Crawford and Rice and by J.H. Morris. Efficiencies of up to 98.88% were found for the flow conditions studied for air. Empirical equa-tions have been found which approximate the flow and performance and allow quicker design of Tesla Turbomachinery. A basic procedure for designing the rotor of a disk pump or compressor has been presented. Based on these results a venturi or some other flow restriction should be added to Tesla pumps and compressors to fix the back pressure and thus the flow rate at which the device opperates, allowing predictable and reliable performance.

More data is needed. The effect of changing radius ratio, gapsize, angular ve-locity and fluid must be studied in much more detail. A new form of Reynolds number is presented which shows reasonable but interesting results that re-quire more data points to explain fully. The effect of housing drag at the periphery of the disks with and without cupped end disks needs to be studied.

Ways of designing diffusers to optimally suit Tesla turbomachinery need to be developed. Modeling of the axial inlet of the rotor is required, this will reveal efficiency lossses in the inlet and allow prediction of the tangential component of the velocity at the inlet of the disk gap.

Bibliography

[1] A. F. R. Ladino, ”Numerical Simulation of the Flow Field in a Friction-Type Turbine (Tesla Turbine),” Dip Thesis, Vienna University of Tech-nology, Vienna, 2004

[2] N. Tesla, “Fluid Propulsion”, 6th May 1913, US Patent 1,061,142

[3] M. E. Crawford and W. Rice, "Calculated Design Data for the Multiple-Disk Pump Using Incompressible Fluid," ASME Trans. J. Eng. Power, 96: 274-282 (1974)

[4] M. J. Lawn and W. Rice, "Calculated Design Data for the Multiple-Disk Turbine Using Incompressible Fluid," ASME Trans. J. Fluids Eng., 96:

252-258 (1974)

[5] S. H. Hasinger and L. G. Kehrt, "Investigation of a Shear-Force Pump,"

ASME Trans. J. Eng. Power, 85(3): 201-207 (1963)

[6] J. H. Morris, "Performance of Multiple-Disk-Rotor Pumps with Varied In-terdisk Spacings;" David W. Taylor Naval Ship R and D Center, Bethesda, MD, U.S. Navy Report Number DTNSRDC-80/008, August (1980) [7] Warren Rice, (1995) Tesla Turbomachinery, E. Logan, (Ed), “Handbook

of Turbomachinery” pp. 861-874, CRC Press, ISBN 0824792634 [8] N. Tesla, “Turbine”, 6th May 1913, US Patent 1,061,206

[9] N. Tesla, “Fluid Propulsion,” 1911, Canadian Patent 135174

[10] N. Tesla, “Improved method of imparting energy to or deriving energy from a fluid and apparatus for use therein ,” Oct. 17, 1910, British Patent 24,001

[11] N. Tesla, “Improved process and apparatus for production of high vacua,”

Mar. 24, 1921, British Patent 179,043

[12] N. Tesla, “Improvements in the construction of steam and gas turbines,”

Mar. 24, 1921, British Patent 186,082

[13] M. C. Breiter and K. Pohlhausen, "Laminar Flow Between Two Parallel Rotating Disks," ARL 62-318, Aeronautical Research Laboratory, OSR, USAF, Wright-Patterson AFB, March (1962).

[14] A. K. Chattopadhyay, D. N. Roy, and G. Biswas, “Radial Flow of a Viscous Fluid between Two Coaxially Rotating Discs, Indian Journal of Technol-ogy, vol. 29, pp. 221-227, 1991.

[15] Michael F. Ashby “Appendix A.7 Static and Spinning Disks, Materials Selection in Mechanical Design, Third Edition, 2005

[16] J. M. Owen, “Air-cooled gas-turbine discs: a review of recent research, ht.

J. Heat and Fluid Flow, Vol. 9, No. 4, December 1988

[17] W. M. J. Cairns, 2001, “The Tesla Disk Turbine” Sommerset: Camden Miniature Steam Services

[18] P.-S. Wu, "Evaluation of Analytical Models for Multiple-Disk Pump Ro-tor Calculation," M.S. Thesis, Department of Mechanical and Aerospace Engineering, Arizona State University, May (1986)

[19] 4.C. E. Basset Jr, "An Integral Solution for Compressible Flow Through Disc Turbines," 10th Intersociety Energy Conversion and Engineering Conference, Newark, Delaware, Aug. 18-22 (1975)

[20] Ricardo Augusto Mazza and Eugnio Span Rosa “COROTATING DISK ASSEMBLY WITH TURBULENT THROUGH FLOW, Numerical Heat Transfer, Part A, 53: 157-177, 2008

[21] John W. Chew and Ruth H. Rogers, “An integral method for the cal-culation of turbulent forced convection in a rotating cavity with radial outflow, Int. J. Heat and Fluid Flow, Vol. 9, No. 1, March 1988

[22] K. E. Boyd and W. Rice, "Laminar Inward Flow of an Incompressible Fluid Between Rotating Disks, with Full Peripheral Admission" ASME Trans. J. Appl. Mechanics, 35(2): 229-237 (1968)

[23] E. Bakke and F. Kreith, "Disk Pump Performance in Turbulent Flow,"

ASME J. Fluids Eng., ASME Paper No. 77-WA/FE-26. 1977

[24] H. S. Couto1, J.B.F. Duarte and D. Bastos-Netto, “The Tesla Turbine Revisited, 8thAsia-Pacific International Symposium on Combustion and Energy Utilization, October 10-12, 2006, Sochi, Russian Federation. ISBN 5-89238-086-6

[25] Harris, William. "How the Tesla Turbine Works." 14 July 2008. How-StuffWorks.com. http://auto.howstuffworks.com/tesla-turbine.htm 05 September 2008.

[26] M. Tabatabai and A. Pollard “Turbulence in radial flow between parallel disks at medium and low Reynolds numbers , J. Fluid Mech. (1987), vol.

185, pp. 483-502

[27] Shuichi TORII and Wen-Jei YANG, “Thermal-fluid transport phenomena between twin rotating parallel disks, International Journal of Rotating Machinery, 2008

[28] P. Sandilya, G. Biswas, D.P. Rao, and A. Sharma, “’NUMERICAL SIM-ULATION OF THE GAS FLOW AND MASS TRANSFER BETWEEN TWO COAXIALLY ROTATING DISKS’, Numerical Heat Transfer, Part A: Applications, 39:3, (2001) pp. 285-305

[29] A.A. Khan,“HydroMagnetic Flow Between Two Rotating Coaxial Disks, Def. Sci. J (1970)

[30] Samy Joseph Palm, Gilles Roy, Cong Tam Nguyen, “Heat transfer en-hancement with the use of nanofluids in radial flow cooling systems con-sidering temperature-dependent properties Applied Thermal Engineering 26 (2006) pp. 2209-2218

[31] A.Z Szeri, S.J Schneider, F. Labbe, H.N. Kaufman, “Flow between rotat-ing disks. Part 1. Basic flow, Journal of Fluid Mechanics, vol. 134, (1983) pp. 103-131

[32] D.B. Bogy, J.E. Fromm, F.E Talke, “Exit region central source flow be-tween finite closely spaced parallel co-rotating disks, Physics of Fluids vol.

20 no. 2, (1977) pp. 176-186.

[33] F. William Beans, “Investigation into the Performance Characteristics of a Friction Turbine, J. Spacecraft vol. 3, no. 1, January 1966, pp. 131-134.

[34] A. Randriamampianina, R. Schiestel, M. Wilson, “The turbulent flow in an enclosed corotating disk pair: axisymmetric numerical simulation and Reynolds stress modeling, International Journal of Heat and Fluid Flow 25 (2004) pp 897-914.

[35] Gerald E. Miller, Bradley D. Etter, and Jean M. Dorsi “Multiple Disk Cen-trifugal Pump as a Blood Flow Device IEEE Transactions on Biomedical Engineering. Vol. 37. no. 2. February 1990

[36] Arthur L. (Roy) Austin, D. John Ryley, “A SOURCEBOOK ON THE PRODUCTION OF ELECTRICITY FROM GEOTHERMAL ENERGY, US Government Report.

[37] Sherif T. Noah, “NONLINEAR ROTORDYNAMICS ANALYSIS report, February 1991

[38] G. Lonsdale and J.E. Walsh, “Acceleration of the pressure correction method for a rotating navier-stokes problem, International Journal for Numerical Methods in Fluids, vol 8, pp 671-686 (1988)

[39] W. Rice, "An Analytical and Experimental Investigation of Multiple Disk Turbines," ASME Trans. J. Eng. Power, 87: 29-36 (1965).

[40] E. Serre, E. Crespo, Del Arco and P. Bontoux, “Annular and spiral pat-terns in flows between rotating and stationary discs, J. Fluid Mech. (2001), vol. 434, pp. 65-100

[41] Milan Batista, “A Note On Steady Flow of Incompressible Fluid Between Two Co-rotating Disks, University of Ljubljana, Faculty of Maritime Stud-ies and Transportation, http://arxiv.org/abs/physics/0703005 , (2007) [42] E. Bakket, J.F. Kreider, F. Kreith, “Turbulent Source Flow Between

Par-allel Stationary and Co-Rotating Disks, J. Fluid Mech. (1973), vol. 58, part 2, pp. 209-231

[43] E. Severac, E. Serre “A spectral vanishing viscosity for the LES of turbu-lent flows within rotating cavities , Journal of Computational Physics 226 (2007) 1234-1255

[44] European Energy Commission, (2001) “Study on Improving the Energy Efficiency of Pumps”

[45] C.R. Possell, “Bladeless pump and method of using same,” 13th September 1983, US Patent 4,403,911

[46] Crawford, Michael Edward, “A composite Solution Method for analytical Design and Optimization Studies of a Multiple-Disk Pump,” MS thesis, Arizona State University, Tempe, Ariz., 1972

[47] W. Rice, "An Analytical and Experimental Investigation of Multiple Disk Pumps and Compressors," ASME Trans. J. Eng. Power, 85: 191-198 (1963)

[48] Diskflo Corporation. (2003). “Discflo General Brochure,” [Brochure] Sarah Glazebrook: Author

[49] R.B. Bird, W.E. Stewart, E.N. Lightfoot, “Transport Phenomena,” Wiley, New York, 1960

[50] P.W. Garrison, D.W. Harvey, I. Catton, “Laminar Compressible Flow Between Rotating Disks,” Transactions of the ASME, Journal of Fluids Engineering, pp382-389 (1976)

[51] Jeffery A. Hays “Tesla’s Engine,” p107-111, Tesla Engine Builders Asso-ciation, 1994, ISBN 1-884917-33-X

[52] Robert W. Fox, Alan T. McDonald, Introduction to Fluid Mechanics”, 5th ed, ch 11, pp. 604, John Wiley & Sons inc, ISBN 0-471-12464-8 [53] W. Rice, D. F. Jankowski, and C. R. Truman, "Bulk-Parameter Analysis

for Two-Phase Through-flow Between Parallel Corotating Disks," Pro-ceedings, 1976 Heat Transfer and Fluid Mechanics Institute, University of California, Davis, June 21-23 (1976)

[54] C. R. Truman, W. Rice, and D. F. Jankowski, "Laminar Throughflow of a Fluid Containing Particles Between Corotating Disks," ASME Trans.

J. Fluids Eng., 101: 87-92 (1979)

[55] C. R. Truman, W. Rice, and D. F. Jankowski, "Laminar Throughflow of Varying-Quality Steam Between Corotating Disks," ASME Trans. J.

Fluids Eng., 100: 194-200 (1978)

[56] Discflo Corporation Inc. www.discflo.com, 22 October 2008 [57] TESNIC Inc. www.tesnic.com, 22 October 2008

[58] en.wikipedia.org/wiki/Tesla_turbine, 22 October 2008 [59] www.teslaengine.org/main.html