Abstract
A simulation of 3D convective flows and heat/mass transfer processes under space flight conditions on the basis of hydrodynamic models and a numerical analysis of these models is discussed. The significance of the methods of mechanics in microgravity sciences and the role of the journal “Fluid Dynamics” in the development of this branch of science is examined. The results of recent investigations of certain problems are presented.
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References
A. S. Povitskii and L.Ya. Lyubin, Fundamentals of Dynamics and Heat and Mass Transfer in Liquids and Gases under Weightlessness [in Russian], Mashinostroenie, Moscow (1972).
V. G. Babskii, N. D. Kopachevskii, A. D. Myshkis, et al., Hydromechanics of Weightlessness [in Russian], Fizmatlit, Moscow (1976).
Hydromechanics, Heat and Mass Transfer in Weightlessness [in Russian] (Eds. V. S. Avduevskii and V. I. Polezhaev), Nauka, Moscow (1982).
Fluid Science and Material Science in Space (Ed. H.U. Walter), Springer-Verlag, Berlin (1987).
G. Z. Gershuni, E.M. Zhukhovitskii, and E. L. Tarunin, “Numerical investigation of convectivemotion in a closed cavity,” Fluid Dynamics, 1, No. 5, 56–62 (1966).
G. Z. Gershuni, E.M. Zhukhovitskii, and E. L. Tarunin, “Numerical study of convection of a liquid heated from below,” Fluid Dynamics, 1, No. 6, 58–62 (1966).
V. I. Polezhaev, “Numerical solution of the system of one-dimensional unsteady Navier-Stokes equations for a compressible gas,” Fluid Dynamics, 1, No. 6, 21–27 (1966).
V. I. Polezhaev, “Numerical solution of the system of two-dimensional unsteady Navier-Stokes equations for a compressible gas in a closed region,” Fluid Dynamics, 2, No. 2, 70–74 (1967).
A. K. Sen, “Modelling flows in rectangular enclosures and cavities,” in: Encyclopedia of Fluid Mechanics, V. 1, Gulf Publ. Corp., Houston (1986), pp. 896–930.
S. M. Zen’kovskaya and I. B. Simonenko, “Effect of high-frequency vibration on convection initiation,” Fluid Dynamics, 1, No. 5, 35–37 (1966).
V. G. Babskii and I. L. Sklovskaya, “Hydromechanics in weak force fields. Onset of stationary thermocapillary convection in a spherical fluid layer under zero-gravity conditions,” Fluid Dynamics, 4, No. 3, 62–66 (1969).
V. I. Polezhaev, “Nonstationary laminar heat convection in a closed domain for a given heat flux, ” Fluid Dynamics, 5, No. 4, 621–627 (1970).
A. I. Kirdyashkin, A. I. Leont’ev, and N.V. Mukhina, “Stability of a laminar fluid flow in vertical layers with natural convection,” Fluid Dynamics, 6, No. 5, 884–888 (1971).
V. I. Polezhaev, “Convective interaction in a cylindrical vessel partially filled with liquid and with heat supply to side surface, free surface, and bottom,” Fluid Dynamics, 7, No. 4, 606–615 (1972).
S.G. Cherkasov, “Natural convection and temperature stratification in a cryogenic-fuel tank in microgravity,” Fluid Dynamics, 29, No. 5, 710–716 (1994).
V. I. Polezhaev and A. I. Fedyushkin, “Hydrodynamic effects of concentration stratification in closed spaces,” Fluid Dynamics, 15, No. 3, 331–337 (1980).
V. S. Zemskov, “New research results on the processes accompanying directional crystallization of melts. Summary of experiments on semi-conductor growth onboard space vehicles,” in: Proc. VII-th Russian Symp. on Mechanics of Weightlessness. Results and Trends in Fundamental Research into Gravitationally Sensitive Systems, Inst. Probl. Mech. RAS (2001), pp. 34–51.
D.A. Nikulin, G. S. Potekhin, and M. Kh. Strelets, “Approximate system of equations for describing nonstationary natural concentration convection in binary gas mixtures,” Fluid Dynamics, 15, No. 5, 679–683 (1980).
V. G. Kozlov, “Thermal vibrational convection in a cavity performing high-frequency rotational oscillations,” Fluid Dynamics, 23, No. 3, 138 (1988).
G. P. Bogatyrev, M. K. Ermakov, A. I. Ivanov, S. E. Nikitin, et al., “Experimental and theoretical investigation of thermal convection in a terrestrial model of a convection detector,” Fluid Dynamics, 29, No. 5, 645–652 (1994).
G. Z. Gershuni and D.V. Lyubimov, Thermal Vibrational Convection, Wiley and Sons, New York (1998).
V. I. Polezhaev, M. S. Bello, N.A. Verezub, et al., Convective Processes in Weightlessness [in Russian], Nauka, Moscow (1991).
V. G. Kozlov, “Thermal vibrational convection in rotating cavities,” Fluid Dynamics, 39, No. 1, 3–11 (2004).
O.A. Bessonov, V.A. Brailovskaya, and V. I. Polezhaev, “Three-dimensional effects of convection in alloys: Concentration nonuniformities, onset of asymmetry and oscillations,” Fluid Dynamics, 32, No. 3, 379–386 (1997).
V. I. Polezhaev and E. B. Soboleva, “Rayleigh-Bénard convection in a near-critical fluid in the neighborhood of the stability threshold,” Fluid Dynamics, 40, No. 2, 209–220 (2005).
V. I. Polezhaev, “Microacceleration regimes, gravitational sensitivity, and methods of analyzing technological experiments in microgravity,” Fluid Dynamics, 29, No. 5, 608–619 (1994).
E.V. Babkin, M.Yu. Belyaev, N. I. Efimov, et al., “Determination of the quasistatic acceleration component onboard the International Space Station,” Kosmich. Issled., 42, No. 2, 162–171 (2004).
V.V. Sazonov and V. S. Yuferev, “Thermal convection initiated by the quasistatic component of the microacceleration field on the “Mir” orbital station,” Fluid Dynamics, 35, No. 3, 346–350 (2000).
O.A. Bessonov and V. I. Polezhaev, “Mathematical modeling of convection in the “DAKON” detector under real space flight conditions,” Kosmich. Issled., 32, No. 2, 170–178 (2001).
N.V. Nikitin, V. I. Polezhaev, and V. P. Yaremchuk, “Three-dimensional convective flows, heat and mass transfer in a cylindrical region under microgravity conditions,” in: Proc. 3-rd Russian National Conf. Heat Transfer. V.3. Free Convection. Heat Transfer in Chemical Reactions, Izd. MEI, Moscow (2002), pp. 124–127.
R. Savino and R. Monti, “Fluid dynamics experiment sensitivity to accelerations prevailing on microgravity platforms,” in Physics of Fluids in Microgravity (Ed. R. Monti), Taylor and Francis, New York (2001), pp. 515–559.
N.V. Nikitin, S.A. Nikitin, and V. I. Polezhaev, “Convective instabilities in a Czochralski hydrodynamic model,” Uspekhi Mekhaniki, 4, 1–45 (2003).
M. K. Ermakov, S.A. Nikitin, and V. I. Polezhaev, “System and computer laboratory for modeling convective heat and mass transfer processes,” Fluid Dynamics, 32, No. 3 (1997).
V. P. Yaremchuk, Numerical Modeling of 3-D Convective Processes under Real Space Flight Conditions [in Russian], Autoref. Diss. Cand. Phys.-Math. Sci., Moscow (2004).
A.V. Zuzgin, A. I. Ivanov, V. I. Polezhaev, et al., “Convective motions in a near-critical liquid under real weightlessness conditions,” Kosmich. Issled., 39, No. 2, 188–200 (2001).
V. I. Polezhaev, A. A. Gorbunov, S. A. Nikitin, and E.B. Soboleva, “Hydrostatic compressibility phenomena: new opportunities for near-critical research in microgravity,” in: Proc. Interdiscipl. Transport Phenomena in Microgravity and Space Sci. Conf. IV, 2005, Eng. Conf. Intern., New York (2005), pp. 9.11–9.22.
V. I. Polezhaev and E.B. Soboleva, “Thermo-gravitational convection in a near-critical fluid in a side-heated enclosed cavity,” Fluid Dynamics, 36, No. 3, 467–477 (2001).
V. I. Polezhaev, A. A. Gorbunov, and E. B. Soboleva, “Unsteady near-critical flows in microgravity environment,” Transport Phenomena in Microgravity. Ann. N.Y. Acad. Sci., 1027, 286–302 (2004).
V.V. Pukhnachev, “Microconvection in a vertical layer,” Fluid Dynamics, 29, No. 5, 653–560 (1994).
K.A. Nadolin, “Boussinesq approximation in the Rayleigh-B’enard problem,” Fluid Dynamics, 30, No. 5, 645–651 (1995).
D.V. Lyubimov and S.V. Shklyaev, “Thermal convection in an acoustic field,” Fluid Dynamics, 35, No. 3, 321–330 (2000).
D. R. Chenowerth and S. Paolucci, “Natural convection in an enclosed vertical air layer with large horizontal temperature difference,” J. Fluid. Mech., 169, 173–210 (1986).
S.V. Rusakov, “Bifurcation of solutions for convective flows of gas heated from below over a wide range of pressure differences,” Fluid Dynamics, 28, No. 3, 422–424 (1993).
F. Rosenberger, “Short-duration low-gravity experiments-time scales, challenges, and results,” Microgravity Sci. Technol., VI/3, 142–148 (1993).
V. I. Polezhaev and V. P. Yaremchuk, “Numerical modeling of unsteady two-dimensional convection in a finite-length horizontal layer heated from below,” Fluid Dynamics, 36, No. 4, 556–565 (2001).
A.G. Kirdyashkin, Periodic Thermocapillary Flows [in Russian], Prepr. Inst. Geol. Geophys. AS USSR, No. 8 (1985).
D. Beysens and Y. Garrabos, “Critical and supercritical fluids and related phenomena,” in: Physics of Fluids in Microgravity (Ed. R. Monti), Taylor and Francis, New York (2001), pp. 223–262.
G.K. Batchelor, “Heat transfer by free convection across a closed cavity between vertical boundaries at different temperatures,” Quart. Appl. Math., 12, No. 3, 209–233 (1954).
E. R. Eckert and W. O. Carlson, “Natural convection in an air layer enclosed between two vertical plates with different temperatures,” Int. J. Heat Mass Transfer, 2, No. 1/2, 106–120 (1960).
B. Gilly, B. Roux, and P. Bontoux, “Influence of thermal wall conditions on the natural convection in heated cavities,” in: Numerical Methods in Heat Transfer. V. II, John Wiley and Sons, New York (1983), pp. 205–225.
V. S. Avduevskii and V. I. Polezhaev, “Some specific features of convection in liquids and gases, ” in: Selected Problems of Applied Mechanics [in Russian], VINITI, Moscow (1974), pp. 11–20.
O.A. Bessonov, V.A. Brailovskaya, and V. I. Polezhaev, “A test for numerical solution of a 3-D problem of natural convection in a cubic cavity,” Mathem. Modeling, 11, No. 12, 52–58 (1999).
L.D. Landau and E. M. Lifshits, Theoretical Physics. V.6. Hydromechanics [in Russian], Nauka, Moscow (1996).
L.-G. Sundstrom and S. Kimura, “On laminar free convection in inclined rectangular enclosures, ” J. Fluid. Mech., 313, 343–366 (1996).
N.N. Dobretsov and A.G. Kirdyashkin, Plutonic Geodynamics [in Russian], Izd. SB RAS, Novosibirsk (1994).
J.I.D. Alexander, “Low-gravity experiment sensitivity of residual acceleration, Microgravity Sci. Technol., 3, 52–69 (1990).
K.W. Benz and P. Dold, “Crystal growth under microgravity: present results and future prospects toward the International Space Station,” J. Crystal Growth, 237-239, 1638–1645 (2002).
Numerical Simulation of Oscillatory Convection in Low-Pr Fluids. Notes on Numerical Fluid Mechanics. V. 27 (Ed. B. Roux), Vieweg, Braunschweig (1990).
I.A. Babushkin, A. I. Ivanov, G. F. Putin, and D. B. Tronin, “Experimental study of the effect of vibration on convective flows in a cylindrical cavity,” in: Vibrational Effects in Hydromechanics [in Russian], Izd. Perm’ State Univ., Perm’ (2001).
S. A. Nikitin, V. I. Polezhaev, and V.V. Sazonov, “The effect of microaccelerations on admixture distribution in a semiconductor alloy in space flight,” Kosmich. Issled., 41, No. 5, 533–548 (2003).
V.A. Goncharov, A.A. Savostikov, V. S. Zemskov, M. P. Raukhman, and V. P. Shalimov, “Investigation of the effect of small forces on the radial nonuniformity of semiconductor crystals,” in: 6-th Intern. Conf. “Single-Crystal Growth and Heat and Mass Transfer. V. 4, Obninsk, 2005” (2005), pp. 793–802.
I. A. Babushkin, G. P. Bogatyrev, A. F. Glukhov, et al., “Investigation of convection and low-frequency microgravity onboard the “Mir” orbital station using the “DAKON” detector, ” Kosmich. Issled., 32, No. 2, 161–169 (2001).
S. A. Nikitin, V. I. Polezhaev, and V.V. Sazonov, “Measurement of the quasi-static microacceleration component onboard an Earth satellite using a convection detector,” Kosmich. Issled., 39, No. 2, 179–187 (2001).
R. J. Naumann, G. Haulenbeek, H. Kawamura, and K. Matsunaga, “A new concept for measuring quasi-steady microgravity accelerations,” in: Proc. 1-st Int. Symp. Microgravity Research and Applic. Phys. Sci. Biotech., ESA, SP-454 (2001), pp. 835–843.
A.V. Zuzgin, G. F. Putin, N.G. Ivanova, et al., “The heat convection of near-critical fluid in the controlled microacceleration field under zero-gravity condition,” Adv. Space Research, 32, No. 2, 205–210 (2003).
T.C. Banister and P.G. Grodzka, “Heat flow and convection demonstration experiments aboard Apollo-14,” Science, 176, No. 4034, 506–508 (1972).
O.A. Budenkova and V. S. Yuferev, “Numerical modeling of an experiment on the convection induced by a quasistatic component of the microacceleration field using the real-time holographic interferometry method,” in: Proc. VII-th Russian Symp. Mechanics of Weightlessness. Results and Trends in Fundamental Research into Gravitationally Sensitive Systems, Inst. Probl. Mech. RAS, Moscow (2001), pp. 291–303.
K. S. Kostarev and A. F. Pshenichnikov, “Gravitational convection in a liquid mixture in a horizontal cylindrical gap at moderate Grashof numbers,” Kosmich. Issled., 42, No. 2, 115–122 (2004).
C.W. Lan and B. C. Yeh, “Three-dimensional analysis of flow and segregation in vertical Bridgman crystal growth under a transversal magnetic field with ampoule rotation,” J. Crystal Growth, 266, 200–206 (2004).
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Translated from Izvestiya Rossiiskoi Academii Nauk, Mekhanika Zhidkosti i Gaza, No. 5, 2006, pp. 67–88.
Original Russian Text Copyright © 2006 by Polezhaev.
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Polezhaev, V.I. Convection and heat/mass transfer processes under space flight conditions. Fluid Dyn 41, 736–754 (2006). https://doi.org/10.1007/s10697-006-0092-1
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DOI: https://doi.org/10.1007/s10697-006-0092-1