The fundamental characteristics of the two-dimensional cavitating flow of liquid helium through a horizontal converging-diverging nozzle near the lambda point are numerically investigated to realize the further development and high performance of new multiphase superfluid cooling systems. First, the governing equations of the cavitating flow of liquid helium based on the unsteady thermal nonequilibrium multifluid model with generalized curvilinear coordinates system are presented, and several flow characteristics are numerically calculated, taking into account the effect of superfluidity. Based on the numerical results, the two-dimensional structure of the cavitating flow of liquid helium though a horizontal converging-diverging nozzle is shown in detail, and it is also found that the generation of superfluid counterflow against normal fluid flow based on the thermomechanical effect is conspicuous in the large gas phase volume fraction region where the liquid to gas phase change actively occurs. Furthermore, it is clarified that the mechanism of the He I to He II phase transition caused by the temperature decrease is due to the deprivation of latent heat for vaporization from the liquid phase.
Issue Section:
Technical Papers
Keywords:
numerical analysis,
cavitation,
liquid helium,
nozzles,
superfluidity,
liquid-vapour transformations
Topics:
Flow (Dynamics),
Helium,
Nozzles,
Numerical analysis,
Superfluidity,
Fluids,
Cavitation,
Bubbles
1.
Filina, N. N., and Weisend, J. G., 1996, Cryogenic Two-Phase Flow, Cambridge University Press, New York, pp. 20–76.
2.
Barron, R. F., 1999, Cryogenic Heat Transfer, Taylor & Francis, Philadelphia, PA, pp. 143–213.
3.
Van Sciver, S. W., 1996, Helium Cryogenics, Plenum Press, New York, pp. 77–130.
4.
Kamijo
, K.
, Yoshida
, M.
, and Tsujimoto
, Y.
, 1993, “Hydraulic and Mechanical Performance of LE-7 LOX Pump Inducer,” AIAA J. Propul. Power, 9(6), pp. 819–826.5.
Daney
, D. E.
, 1988
, “Cavitation in Flowing Superfluid Helium
,” Cryogenics
, 28
, pp. 132
–136
.6.
Van Sciver
, S. W.
, 1999
, “Heat and Mass Transfer Process in Two Phase He II/Vapor
,” Cryogenics
, 39
, pp. 1039
–1046
.7.
Ishimoto
, J.
, Oike
, M.
, and Kamijo
, K.
, 2001
, “Numerical Analysis of Two-Phase Pipe Flow of Liquid Helium Using Multi-Fluid Model
,” ASME J. Fluids Eng.
, 123
, pp. 811
–818
.8.
Oike, M., Tokumasu, T., and Kamijo, K., 2001, “Observation of Helium Two-Phase Flow in a Pipe,” Proceedings of the Fourth International Symposium on Cavitation, C. E. Brennen, ed., Pasadena, CA (in CD-ROM).
9.
Ishii
, T.
, and Murakami
, M.
, 2002
, “Temperature Measurement and Visualization Study of Liquid Helium Cavitation Flow Through Venturi Channel
,” Adv. Cryog. Eng.
, 47B
, pp. 1421
–1428
.10.
Tien, C. L., Majumdar, A., and Gerner, F. M., 1998, Microscale Energy Transport, Taylor & Francis, Washington, DC, pp. 187–226.
11.
Kataoka
, I.
, and Serizawa
, A.
, 1989
, “Basic Equations of Turbulence in Gas-Liquid Two-Phase Flow
,” Int. J. Multiphase Flow
, 15
(5
), pp. 843
–855
.12.
Harlow
, F. H.
, and Amsden
, A. A.
, 1975
, “Numerical Calculation of Multiphase Fluid Flow
,” J. Comput. Phys.
, 17
, pp. 19
–52
.13.
Yamamoto
, S.
, Hagari
, H.
, and Murayama
, M.
, 2000, “Numerical Simulation of Condensation Around the 3-D Wing,” Trans. Japan Soc. Aero. Space Sci., 42(138), pp. 182–189.14.
Young
, J. B.
, 1992
, “Two-Dimensional, Nonequilibrium, Wet-Stream Calculations for Nozzles and Turbine Cascades
,” ASME J. Turbomach.
, 114
, pp. 569
–579
.15.
Barenghi
, C. F.
, Donnelly
, R. J.
, and Vinen
, W. F.
, 1983
, “Friction on Quantized Vortices in Helium II: A Review
,” J. Low Temp. Phys.
, 52
, pp. 189
–247
.16.
Bekarevich
, I. L.
, and Khalatnikov
, I. M.
, 1961
, “Phenomenological Derivation of the Equations of Vortex Motion in Helium II
,” Sov. Phys. JETP
, 13
(3
), pp. 643
–646
.17.
Kashani
, A.
, Van Sciver
, S. W.
, and Strikwerda
, J. C.
, 1989
, “Numerical Solution of Forced Convection Heat Transfer in He II
,” Numer. Heat Transfer, Part A
, 16
, pp. 213
–228
.18.
Cross
, M. M.
, 1975
, “Viscosity-Concentration-Shear Rate Relations for Suspensions
,” Rheol. Acta
, 14
, pp. 402
–403
.19.
Tomiyama
, A.
, Zun
, I.
, Higaki
, H.
, Makino
, Y.
, and Sakaguchi
, T.
, 1997
, “A Three-Dimensional Particle Tracking Method for Bubbly Flow Simulation
,” Nucl. Eng. Des.
, 175
, pp. 77
–86
.20.
Fan, L. S., and Zhu, C., 1998, Principles of Gas-Solid Flows, Cambridge University Press, New York, pp. 87–129.
21.
Murai
, Y.
, and Matsumoto
, Y.
, 2000
, “Numerical Study of the Three-Dimensional Structure of a Bubble Plume
,” ASME J. Fluids Eng.
, 122
, pp. 754
–760
.22.
Auton
, T. R.
, Hunt
, J. C. R.
, and Prud’homme
, M.
, 1988
, “The Force Exerted on a Body in Invisid Unsteady Non-Uniform Rotational Flow
,” J. Fluid Mech.
, 197
, pp. 241
–257
.23.
Clift, R., Grace, J. R., and Weber, M. E., 1978, Bubbles, Drops, and Particles, Academic Press, San Diego, CA, pp. 97–141.
24.
Dobran
, F.
, 1988
, “Liquid and Gas-Phase Distributions in A Jet With Phase Change
,” ASME J. Heat Transfer
, 110
, pp. 955
–960
.25.
Hirt, C. W., and Romero, N. C., 1975, “Application of a Drift Flux Model to Flashing in Straight Pipes,” Los Alamos Scientific Laboratory Report, LA-6005-MS, pp. 1–16.
26.
Maynard
, J.
, 1976
, “Determination of the Thermodynamics of He II from Sound-Velocity Data
,” Phys. Rev. B
, 14
(9
), pp. 3868
–3891
.27.
Brooks
, J. S.
, and Donnelly
, R. J.
, 1977
, “The Calculated Thermodynamic Properties of Superfluid Helium-4
,” J. Phys. Chem. Ref. Data
, 6
(1
), pp. 51
–104
.28.
McCarty, R. D., 1980, “Thermodynamic Properties of Helium II from 0 K to the Lambda Transitions,” NBS Technical Note, TN-1029.
29.
Lambare´
, H.
, Roche
, P.
, Balibar
, S.
, Maris
, H. J.
, Andreeva
, O. A.
, Guthmann
, C.
, Keshishev
, K. O.
, and Rolley
, E.
, 1998
, “Cavitation in Superfluid Helium in the Low Temperature Limit
,” Eur. Phys. J. B
, 2
, pp. 381
–391
.30.
Caupin
, F.
, and Balibar
, S.
, 2001
, “Cavitation Pressure in Helium
,” Phys. Rev. B
, B64
, 064507
064507
.31.
Tomiyama
, A.
, Hirano
, M.
, 1994
, “An Improvement of the Computational Efficiency of the SOLA Method
,” JSME Inter. J. Series B
, 37
(4
), pp. 821
–826
.32.
Amsden, A. A., and Harlow, F. H., 1970, “The SMAC Method: A Numerical Technique for Calculating Incompressible Fluid Flows,” Los Alamos Scientific Laboratory Report, LA-4370.
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