Modeling of rotational supercavitating evaporator and the geometrical characteristics of supercavity within
 Dmitriy S. Likhachev,
 FengChen Li
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In this paper, a rotational supercavitating evaporator (RSCE) was at first modeled by means of theoretical analysis approach. The geometrical characteristics of supercavity in the modeled RSCE were then studied through numerical simulations. The current research objectives consist in determination of shape of the supercavitator (which in the plane of rotation generates supercavity occupying the most volume between blades), and location of the area suitable for steam extraction by revealing the inner structure of supercavity. Analytical analysis was performed by solving empirical equations for the shape of RSCE, through which an evaluation of twodimensional relative position of supercavity trailing edge for different shapes of the supercavitator has been realized. Numerical simulation was then carried out, by numerically solving the unsteady NavierStokes equations in their conservation form coupled with the RayleighPlesset cavitation and ShearStress Transport turbulence models, for verification of the results obtained from empirical equations. Despite unreliable assumption of applicability of empirical equations we have confirmed similarity of the supercavity shapes obtained by both methods for the same RSCE. Therefore, the shape of supercavitator calculated by using empirical equations is acceptable, which provides a simple but reliable approach for design of RSCE. The inner structure of supercavity obtained by numerical simulation has indicated position and parameters for steam extraction openings for further numerical and experimental studies on the performance of RSCE. Practical application of steam or gas extraction is suggested for solving of some problems associated with cavitating pumping of cryogenic liquid.
 Pierce, C (1982) Erosion. SpringerVerlag, Berlin
 Ivchenko, V M (1990) Cavitation Technology. Krasnoyarsk University Press, Krasnoyarsk
 Xiao, C, Heyes, D M (2002) Cavitation in stretched liquids. Proc R SocLond A 458: pp. 889910 CrossRef
 Artyushkov, L S (1988) Marine Propulsion. Shipbuilding, Leningrad
 Pozdunin, V L (1944) On the working of supercavitating screw propellers (in Russian). Doklady AN SSSR XXXIX: pp. 334339
 Birkhoff, G, Zarantonello, E H (1957) Jets, Wakes, and Cavities. Academic Press, New York
 Alekseenko, S (2005) Introduction to the Theory of Concentrated Vortices. MoscowIzhevsk, Moscow
 Pernik, A D (1966) Cavitation in Pumps (in Russian). Sudostroenie, Leningrad
 Nesteruk, I (2012) Supercavitation: Advances and Perspectives. Institute of Hydromechanics, Ukraine CrossRef
 Tulin, M P (2001) Fifty years of supercavitating flow research in the United States: Personal recollection. Int J Fluid Mech Rec 28: pp. 692701
 Street, R L (1963) A linearized theory for rotational supercavitating flow. J Fluid Mech 17: pp. 513545 CrossRef
 Street, R L (1964) Symmetric, rotational, supercavitating flow about a slender wedge (Drag coefficient and cavity length in symmetric rotational supercavitating flow around slender wedge). J Basic Eng 86: pp. 569576 CrossRef
 Ivchenko, V M (1976) Hydrodynamic theory of supercavitating pumps or hydroturbines. Fluid Dyn 11: pp. 153158
 Miloh, T (1991) Mathematical Approaches in Hydrodynamics. SIAM, Philadelphia, Pennsylvania, USA
 Vasin, A D (1989) Slender axisymmetric cavities in a supersonic flow. Fluid Dyn 24: pp. 153155 CrossRef
 Ho, HT (1964) The Linearized Theory of a Supercavitating Hydrofoil with a Jet Flap. J Basic Eng 86: pp. 851860 CrossRef
 Nesteruk, I G (1985) Determination of the form of a thin axisymmetric cavity on the basis of an integrodifferential equation. Fluid Dyn 10: pp. 8390
 Kinnas, S A (2001) Supercavitating 3D Hydrofoils and Propellers: Prediction of Performance and Design. Defense Technical Information Center Compilation Part Notice ADP012091.
 Achkinadze, A S (2001) Supercavitating Propellers. Defense Technical Information Center Compilation Part Notice ADP012090.
 Fine, N E (1992) Nonlinear analysis of cavitating propellers in nonuniform flow. Massachusetts Institute of Technology, USA
 Sisto, F (1967) Linearized theory of nonstationary cascades at fully stalled or supercavitated conditions. J Appl Math Mech 47: pp. 531542
 Antipov, Y A, Silvestrov, V V (2008) Double cavity flow past a wedge. Proc R Soc A 464: pp. 30213038 CrossRef
 Serebryakov V, Kirschner I, Schnerr G. High Speed Motion in Water with Supercavitation for Sub, Trans, Supersonic Mach Numbers. In: CAV2009, 7th International Symposium on Cavitation.USA, 2009. 18
 Faltinsen, O M (2006) Review of hydrodynamics of highspeed marine vehicles. J Waterw Port Coastal Ocean Eng 132: pp. 2
 Savchenko Y N. SupercavitationProblems and Perspectives. In: CAV 2001: Fourth International Symposium on Cavitation. USA, 2001, resolver.caltech.edu/CAV2001:lecture.003
 Hoffmann, K A (1989) Computational Fluid Dynamics for Engineers. A Publication of Engineering Education System, Austin
 Roache, P J (1998) Fundamentals of Computational Fluid Dynamics. Hrmosa Publishers, NM
 Wilcox, D C (2006) Turbulence Modeling for CFD.
 Kirschner I, Chamberlin R, Arzoumanian S. A Simple Approach to Estimating ThreeDimensional Supercavitating Flow Fields.In: Proceeding of the 7th International Symposium on Cavitation CAV 2009, Ann Arbor, the USA, 2009
 Young, Y L, Kinnas, S A (2003) Numerical modeling of supercavitating propeller flows. JSh Res 47: pp. 4862
 Young, Y L, Kinnas, S A (2003) Analysis of supercavitating and surfacepiercing propeller flows via BEM. ComputMech 32: pp. 269280
 Young Y L, Kinnas S A. Fluid and structural modeling of cavitating propeller flows. In: 5th International Symposium on Cavitation (CAV2003), Osaka, the Japan, 2003
 Pereira, F, Salvatore, F, Felice, F (2004) Measurement and modeling of propeller cavitation in uniform inflow. J Fluids Eng 126: pp. 671680 CrossRef
 White, E R, Miller, T F (2010) A serendipitous application of supercavitation theory to the waterrunning basilisk lizard. J Fluids Eng 132: pp. 054501 CrossRef
 Kunz R F, Lindau J W, Billet M L, et al. Multiphase CFD modeling of developed and supercavitating flows. In: Van den Braembussche, eds. VKI Special Course on Supercavitating Flows, Brussels, 2001, RTOEN01013
 Motley, M R, Liu, Z, Young, Y L (2009) Utilizing fluidstructure interactions to improve energy efficiency of composite marine propellers in spatially varying wake. Compos Struct 90: pp. 304313 CrossRef
 Pereira, F, Salvatore, F, Felice, F (2003) Recent developments on marine propeller cavitation investigations at INSEAN. Jahrbuch der SchiffbautechnischenGesellschaft 97: pp. 2543
 D’Epagnier, K P (2006) AUV Propellers: Optimal Design and Improving Existing Propellers for Greater Efficiency. OCEANS 2006, Boston, the USA.
 Cameron, P J K, Rogers, P H, Doane, J W (2011) An experiment for the study of freeflying supercavitating projectiles. J Fluids Eng 133: pp. 021303 CrossRef
 Chen, Y, Chuanjing, L, Chen, X (2011) Quadratic and cubic eddyviscosity models in turbulent supercavitating flow computation. Theor Appl Mech Lett 1: pp. 032006 CrossRef
 Shi H, Itoh M. Highspeed Photography of Supercavitation and Multiphase Flows in Water Entry. In: CAV2009, 7th International Symposium on Cavitation, 2009, Ann Arbor, the USA. hdl.handle.net/2027.42/84316
 Machinski, A S (1984) Hydrodymanics and thermal transfer characteristics of supercavitating evaporators for water desalination (in Russian). Kiev Order of Lenin Polytechnic Institute after 50 years of Great October Socialist Revolution, Moscow
 Franc, JP, Michel, JM (2005) Fundamentals of Cavitation. Fluid Mechanics and Its Application.Kluwer Academic Publishers. pp. 293
 Knepp, R, Daily, J, Hemmit, F (1974) Cavitation (in Russian). Mir, Moscow
 Egorovet, I T (1971) Artificial Cavitation. Joint Publications Research Service. pp. 362
 Shah Y T. Cavitation Reaction Engineering. In: Shah Y T, PanditA B, Moholkar V S. New York: Plenum Chemical Engineering, 1999. 349
 Oledal, M (2002) Cavitation in Complex Separated Flows. Norwegian University of Science and Technology, Trondheim
 Brennen, C E (2007) Fluid Dynamics of Cavitation and Cavitating Turbopumps. CISM Courses and Lectures. pp. 496
 Brujan, EA (2011) Cavitation in NonNewtonian Fluids: With Biomedical and Bioengineering Applications. CrossRef
 Stinebring D R, Billet M L, Lindau J W, et al. Developed cavitation — cavity dynamics. RTO AVT Lecture series on supercavitating flows, brussels, 2001, RTOEN010: 6796
 Biskoup B A, Russetsky A, Sadovnikov Y M. Survey of the Krylov Institute Research Works in the Area of Shipbuilding Problems Concerning Propulsor Cavitation. In: Propcav’95, Intl Conf on Propeller Cavitation Research, Newcastle upon Tyne, the UK, 1995. 103–112
 Takahashi H, Kadoi H. Comparison of Cavitation Phenomena Between the Actual and Model Propellers, and Erosion Survey on the Actual Propeller. In: Proceedings of the 14th International Towing Tank Conference, Ottawa, the Canada, September, 1975
 Michel JM. Introduction to Cavitation, Supercavitation. RTO AVT/VKI special course: supercavitating flows.von Karman Institute for Fluid Dynamics, RhodeSaintGenèse, Belgium, 2001
 Tulin, M P (2001) Supercavitation: An Overview.RTO AVT/VKI Special Course on Supercavitating Flows.von Karman Institute for Fluid Dynamics, Rhode Saint Genèse, Belgium.
 Fridman, G M, Achkinadze, A S (2001) Review of Theoretical Approaches to Nonlinear Supercavitating Flows(in Russian). Saint Petersburg State Marine Technical University.
 Streeter, V L (1961) Handbook of Fluid Dynamics. McGrawHill, London
 Zhang, X B, Qiu, L M, Gao, Y (2008) Computational fluid dynamic study on cavitation in liquid nitrogen. Cryogenics 48: pp. 432438 CrossRef
 Grazia, D G M, Daniela, B, Antonio, F (2010) Analysis of thermal effects in a cavitating orifice using Rayleigh equation and experiments. J Eng Gas Turbines Power 132: pp. 092901 CrossRef
 Hosangadi, A, Ahuja, V (2004) Numerical study of cavitation in cryogenic fluids. J Fluids Eng 127: pp. 267281 CrossRef
 James, L C (2010) Liquid Propulsion: Propellant Feed System Design. John Wiley & Sons, New York
 Zhmakin, A I (2009) Fundamentals of Cryobiology: Physical Phenomena and Mathematical Models. Springer, Berlin CrossRef
 Zarchan, P (2004) Liquid Rocket Thrust Chambers: Aspects of Modeling, Analysis, and Design. Prog Astronaut Aeronaut. pp. 725
 Yoshiki, Y, Kengo, K, Satoshi, H (2007) Thermodynamic effect on a cavitating inducer in liquid nitrogen. J Fluids Eng 129: pp. 273278 CrossRef
 Naoki, T, Toshio, N (2003) Cryogenic cavitating flow in 2D laval nozzle. J Therm Sci 12: pp. 157161 CrossRef
 Tokumasu, T, Sekino, Y, Kamijo, K (2004) The numerical analysis of the effect of flow properties on the thermodynamic effect of cavitation. Jpn Soc Aeronaut SpSci 47: pp. 146152 CrossRef
 Baidakov, V G (2007) Explosive Boiling of Superheated Cryogenic Liquid. WILEYVCH Verlag GmbH & Co. KGaA. pp. 337
 Yoshiki, Y, Yoshifumi, S, Mitsuo, W (2009) Thermodynamic effect on rotating cavitation in an inducer. J Fluids Eng 131: pp. 091302 CrossRef
 Kuklinski R, Castano J, Henoch C. Experimental Study of Ventilated Cavities on Dynamic Test Model. In: CAV 2001: Fourth International Symposium on Cavitation. USA, 2001
 Kawakami, E, Arndt, R E A (2011) Investigation of the behavior of ventilated supercavities. J Fluids Eng 133: pp. 091305 CrossRef
 Amromin, E, Karafiath, G, Metcalf, B (2011) Ship drag reduction by air bottom Ventilated cavitation in calm water and in waves. J Sh Res 55: pp. 196207
 Matveev, K I, Miller, M J (2011) Air cavity with variable length under a model hull. J EngMarit Environ 225: pp. 161169
 Arndt, R E A, Balas, G J, Wosnik, M (2005) Control of cavitating flows: a perspective. JSME Int J 48: pp. 334341 CrossRef
 Vanek, B, Bokor, J, Balas, G J (2007) Longitudinal motion control of a highspeed supercavitation vehicle. J Vib Control 13: pp. 159184 CrossRef
 Ruzzene, V, Kamada, R, Bottasso, C L (2008) Trajectory optimization strategies for supercavitatingunderwatervehicles. J Vib Control 14: pp. 611644 CrossRef
 Califano, A, Steen, S (2011) Identification of ventilation regimes of a marine propeller by means of dynamicloads analysis. Ocean Eng 38: pp. 16001610 CrossRef
 Califano, A, Steen, S (2011) Numerical simulations of a fully submerged propeller subject to ventilation. Ocean Eng 38: pp. 15821599 CrossRef
 Kinnas, S A, Young, Y L (2003) Modeling of cavitating or ventilated flows using BEM. Int J Numer Methods Heat Fluid Flow 13: pp. 672697 CrossRef
 Xiang, M, Lin, M D, Zhang, W H (2011) On the numerical study of ventilated cavitatingflowbased on twofluid model. Trans Beijing Inst Technol 31: pp. 768771
 Guzevsky, V A (1988) Research of Supercavitating Flows (in Russian).
 Farhat, M, Chakravarty, A, Field, J E (2011) Luminescence from hydrodynamic cavitation. Proc R Soc A 467: pp. 591606 CrossRef
 Versteeg, H K, Malalasekera, W (1995) An Introduction to Computational Fluid Dynamics, the Finite Volume Method. Pearson Education Limited, Edinburgh
 Shaw, C T (1992) Using Computational Fluid Dynamics. Prentice Hall, New Jersey
 Patankar, S V (1980) Numerical Heat Transfer and Fluid Flow. Hemisphere Publishing Corporation, Washington
 Massey, B (2006) Mechanics of Fluids. Taylor & Francis, London
 White, F M (2005) Viscous Fluid Flow. McGraw Hill, New York
 Green, D W, Perry, R H (2008) Perry’s Chemical Engineer’s Handbook. McGraw Hill, New York
 Dyke, M (1982) An Album of Fluid Motion. Parabolic Press, Stanford
 Redlich, O, Kwong, J N S (1949) On the thermodynamics of solutions. V. An equation of state; fugacities of gaseous solutions. Chem Rev 44: pp. 233244 CrossRef
 Peng, D Y, Robinson, D B (1976) A new twoconstant equation of state. Ind Eng Chem Fundam 15: pp. 5964 CrossRef
 Aungier, R H (1995) A fast, accurate real gas equation of state for fluid dynamic analysis applications. J Fluids Eng 117: pp. 277281 CrossRef
 Grigull, U, Schmidt, E (1981) Properties of Water and Steam in SIUnits, 4th Revised and Updated Printing. Springer, Berlin CrossRef
 Wagner, W (2000) The IAPWS industrial formulation 1997 for the thermodynamic properties of water and steam. ASME J Eng Gas Turbines Power 122: pp. 150182 CrossRef
 Wagner, W (1998) ASME Steam Tables and Properties of Water and Steam. Springer, Berlin
 Bakir, F, Rey, R, Gerber, A G (2004) Numerical and experimental investigations of the cavitatingbehavior of an inducer. Int J Rotating Machinery 10: pp. 1525
 Spalart, P R, Shur, M (1997) On the sensitization of turbulence models to rotation and curvature. Aerospace Sci Technol 1: pp. 297302 CrossRef
 Smirnov P E, Menter F R. Sensitization of the SST Turbulence Model to Rotation and Curvature by Applying the SpalartShur Correction Term. ASME Paper GT 200850480, Germany, 2008
 Menter, F R (1994) Twoequation eddyviscosity turbulence models for engineering applications. AIAAJ 32: pp. 15981605 CrossRef
 Launder, B E, Spalding, D B (1974) The numerical computation of turbulent flow. Comput Math Appl Mech Eng 3: pp. 269289 CrossRef
 Grotjans, H, Menter, F R Wall Functions for General Application CFD Code. In: Papailiou, K D eds. (1998) ECCOMAS 98 Proceedings of the Fourth European Computational Fluid Dynamics Conference. John Wiley & Sons, Athens, pp. 11121117
 Henkes, R A W M, Flugt, F F, Hoogendoorn, C J (1991) Natural convection flow in a square cavity calculated with lowReynoldsnumber turbulence models. Int J Heat Mass Transfer 34: pp. 15431557 CrossRef
 Apsley, D D, Leschziner, M A (1998) A new lowReynoldsnumber nonlinear twoequation turbulence model for complex flows. Int J Heat Fluid Flow 19: pp. 209222 CrossRef
 Title
 Modeling of rotational supercavitating evaporator and the geometrical characteristics of supercavity within
 Journal

Science China Physics, Mechanics and Astronomy
Volume 57, Issue 3 , pp 541554
 Cover Date
 20140301
 DOI
 10.1007/s114330135154x
 Print ISSN
 16747348
 Online ISSN
 18691927
 Publisher
 Science China Press
 Additional Links
 Topics
 Keywords

 supercavitation
 rotational supercavitating evaporator
 geometrical characteristics
 theoretical analysis
 computational fluid dynamics
 Industry Sectors
 Authors

 Dmitriy S. Likhachev ^{(1)}
 FengChen Li ^{(1)}
 Author Affiliations

 1. Complex Flow and Heat Transfer Laboratory, School of Energy Science and Engineering, Harbin Institute of Technology, Harbin, 150001, China