Skip to main content
SpringerLink
Log in

Fluid dynamics and thermal physics of two-phase flows: Problems and achievements

  • Heat and Mass Transfer and Physical Gasdynamics
  • Published:
High Temperature Aims and scope

Abstract

The problem and specific aspects of studying two-phase flows laden with solid particles, droplets, and bubbles are considered. The main characteristics of two-phase flows and methods for their modeling are reported. The results of experimental and computation-theoretical investigations of two-phase flows of different types are described.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Varaksin, A.Y., Romash, M.E., and Kopeitsev, V.N., AIP Conf. Proc., 2010, vol. 1207, p. 342.

    Article  ADS  Google Scholar 

  2. Varaksin, A.Y., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., in Proceedings of the 14th ASME International Heat Transfer Conference (IHTC-14), Washington, DC, United States, August 8–13, 2010, New York: The American Society for Mechanical Engineers, 2010, vol. 2, p. 387.

    Book  Google Scholar 

  3. Varaksin, A.Y., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., Int. J. Heat Mass Transfer, 2012, vol. 55, p. 6567.

    Article  Google Scholar 

  4. Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Taekin, S.I., High Temp., 2008, vol. 46, no. 6, p. 888.

    Article  Google Scholar 

  5. Varaksin, A.Yu., Romash, M.E., Taekin, S.I., and Kopeitsev, V.N., High Temp., 2009, vol. 47, no. 1, p. 78.

    Article  Google Scholar 

  6. Baranovskii, S.I., in Turbulentnye dvukhfaznye techeniya i tekhnika eksperimenta (Turbulent Two-Phase Flows and Experimental Techniques), Tallinn: Academy of Sciences of the Estonian SSR, 1985, p. 60.

    Google Scholar 

  7. Zaichik, L.I. and Pershukov, V.A., Fluid Dyn, 1996, vol. 31, no. 5, p. 635.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Crowe, C.T., J. Fluids Eng., 1982, vol. 104, no. 3, p. 297.

    Article  Google Scholar 

  9. Elghobashi, S., Appl. Sci. Res., 1991, vol. 48, p. 301.

    Article  MATH  Google Scholar 

  10. Owen, P.R., J. Fluid Mech., 1969, vol. 39, p. 407.

    Article  ADS  Google Scholar 

  11. Gore, R.A. and Crowe, C.T., Int. J. Multiphase Flow, 1989, vol. 15, no. 2, p. 279.

    Article  Google Scholar 

  12. Gore, R.A. and Crowe, C.T., J. Fluids Eng., 1991, vol. 113, no. 2, p. 304.

    Article  Google Scholar 

  13. Varaksin, A.Y., Kurosaki, Y., and Satoh, I., Therm. Sci. Eng., 1995, vol. 3, no. 2, p. 1.

    Google Scholar 

  14. Volkov, E.P., Zaichik, L.I., and Pershukov, V.A., Modelirovanie goreniya tverdogo topliva (Simulation of the Combustion of Solid Fuels), Moscow: Nauka, 1994.

    Google Scholar 

  15. Zaichik, L.I. and Pershukov, V.A., Fluid Dyn., 1996, vol. 31, no. 5, p. 635.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  16. Lain, S. and Kohnen, G., in Proceedings of the First International Symposium on Turbulence and Shear Flow Phenomena, Santa Barbara, California, United States, September 12–15, 1999, Banerjee, B. and Eaton, J.K., Eds., New York, 1999, p. 277.

  17. Zaichik, L.I., in Trudy IV Rossiiskoi natsional’noi konferentsii po teploobmenu, tom 1: Plenarnye i obshchie problemnye doklady. Doklady na kruglykh stolakh, (Proceedings of the Fourth Russian National Conference on Heat Transfer, Volume 1: Plenary and General Problem Reports. Reports on Round Tables, Moscow, October 23–27, 2006), Moscow: Moscow Power Engineering Institute, 2006, p. 54.

    Google Scholar 

  18. Pialat, X., Simonin, O., and Villedieu, P., in Proceedings of the ASME Fluids Engineering Division Summer Meeting and Exhibition, Houston, Texas, United States, June 19–23, 2005, New York: The American Society for Mechanical Engineers, FEDS2005-77078.

  19. Sommerfeld, M., Int. J. Multiphase Flow, 2003, vol. 29, p. 675.

    Article  MATH  Google Scholar 

  20. Gavin, L.B., Naumov, V.A., and Shor, V.V., J. Appl. Mech. Tech. Phys., 1984, vol. 25, no. 1, p. 56.

    Article  ADS  Google Scholar 

  21. Kondrat’ev, L.V., in Turbulentnye dvukhfaznye techeniya i tekhnika eksperimenta. Ch. 2 (Turbulent Two-Phase Flows and Experimental Techniques), Tallinn: Academy of Sciences of the Estonian SSR, 1985, part 2, p. 144.

    Google Scholar 

  22. Chen, C.P. and Wood, P.E., Can. J. Chem. Eng., 1985, vol. 63, no. 3, p. 349.

    Article  Google Scholar 

  23. Melville, W.K. and Bray, K.N.C., Int. J. Heat Mass Transfer, 1979, vol. 22, p. 647.

    Article  ADS  MATH  Google Scholar 

  24. Buyevich, Y.A., J. Fluid Mech., 1971, vol. 49, p. 489.

    Article  ADS  MATH  Google Scholar 

  25. Derevich, I.V. and Zaichik, L.I., Fluid Dyn., 1988, vol. 23, no. 5, p. 722.

    Article  ADS  MATH  Google Scholar 

  26. Derevich, I.V. and Zaichik, L.I., Prikl. Mat. Mekh., 1990, vol. 54, p. 767.

    Google Scholar 

  27. Zaichik, L.I., Inzh.-Fiz. Zh., 1992, vol. 63, no. 4, p. 404.

    Google Scholar 

  28. Zaichik, L.I., Prikl. Mat. Mekh., 1997, vol. 61, p. 132.

    MathSciNet  Google Scholar 

  29. Swailes, D.C. and Darbyshire, K.F.F., Physica A (Amsterdam), 1997, vol. 242, p. 38.

    Article  ADS  Google Scholar 

  30. Hyland, K.E., McKee, S., and Reeks, M.W., J. Phys. A: Math. Gen., 1999, vol. 32, p. 6169.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  31. Zaichik, L.I., Phys. Fluids, 1999, vol. 11, p. 1521.

    Article  ADS  MATH  Google Scholar 

  32. Derevich, I.V., Int. J. Heat Mass Transfer, 2000, vol. 43, p. 3709.

    Article  MATH  Google Scholar 

  33. Pandya, R.V.R. and Mashayek, F., AIAA Pap., 2002, no. 2002-0337.

    Google Scholar 

  34. Zaichik, L.I., Oesterle, B., and Alipchenkov, V.M., Phys. Fluids, 2004, vol. 16, p. 1956.

    Article  ADS  Google Scholar 

  35. Reeks, M.W., Phys. Fluid A, 1991, vol. 3, p. 446.

    Article  ADS  MATH  Google Scholar 

  36. Reeks, M.W., Phys. Fluid A, 1992, vol. 4, p. 1290.

    Article  ADS  MATH  Google Scholar 

  37. Pandya, R.V.R. and Mashayek, F., J. Fluid Mech., 2003, vol. 475, p. 205.

    Article  ADS  MATH  Google Scholar 

  38. Pozorski, J., J. Theor. Appl. Mech. (Warshaw, Poland), 1998, vol. 36, no. 1, p. 31.

    MATH  Google Scholar 

  39. Pozorski, J. and Minier, J.-P., Phys. Rev. E, 1999, vol. 59, p. 855.

    Article  ADS  Google Scholar 

  40. Peirano, E. and Minier, J.-P., Phys. Rev. E, 2002, vol. 65, pp. 046301–1.

    Article  ADS  Google Scholar 

  41. Minier, J.-P. and Peirano, E., Phys. Fluids, 2004, vol. 16, p. 2419.

    Article  ADS  Google Scholar 

  42. Reeks, M.W., J. Fluid Mech., 2005, vol. 522, p. 263.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  43. Pope, S.B., Annu. Rev. Fluid Mech., 1994, vol. 26, p. 23.

    Article  MathSciNet  ADS  Google Scholar 

  44. Wang, L.-P. and Stock, D.E., J. Atmos. Sci., 1993, vol. 50, p. 1897.

    Article  ADS  Google Scholar 

  45. Derevich, I.V., Fluid Dyn., 1996, vol. 31, no. 2, p. 249.

    Article  ADS  MATH  Google Scholar 

  46. Zaichik, L.I. and Alipchenkov, V.M., Phys. Fluids, 2003, vol. 15, p. 1776.

    Article  MathSciNet  ADS  Google Scholar 

  47. Alipchenkov, V.M. and Zaichik, L.I., Fluid Dyn., 2003, vol. 38, no. 3, p. 417.

    Article  MATH  Google Scholar 

  48. Zaichik, L.I. and Alipchenkov, V.M., Int. J. Heat Fluid Flow, 2005, vol. 26, p. 416.

    Article  Google Scholar 

  49. Alipchenkov, V.M. and Zaichik, L.I., Fluid Dyn., 2005, vol. 40, no. 1, p. 83.

    Article  ADS  MATH  Google Scholar 

  50. Jones, W., in Prediction Methods for Turbulent Flows, Kollmann, W., Ed., Washington: Hemisphere, 1980.

  51. Derevich, I.V., Yeroshenko, V.M., and Zaichik, L.I., Int. J. Heat Mass Transfer, 1989, vol. 32, no. 1, p. 2329.

    Article  MATH  Google Scholar 

  52. Derevich, I.V., Yeroshenko, V.M., and Zaichik, L.I., Int. J. Heat Mass Transfer, 1989, vol. 32, no. 1, p. 2341.

    Article  MATH  Google Scholar 

  53. Abramovich, G.N., Sov. Phys. Dokl., 1970, vol. 15, no. 2, p. 101.

    ADS  Google Scholar 

  54. Abramovich, G.N., Bazhanov, V.I., and Girshovich, T.A., Fluid Dyn., 1972, vol. 7, no. 6, p. 908.

    Article  ADS  Google Scholar 

  55. Abramovich, G.N. and Girshovich, T.A., Sov. Phys. Dokl., 1973, vol. 18, no. 9, p. 587.

    ADS  Google Scholar 

  56. Abramovich, G.N. and Girshovich, T.A., Fluid Dyn., 1975, vol. 10, no. 4, p. 548.

    Article  ADS  Google Scholar 

  57. Girshovich, T.A. and Leonov, V.A., in Turbulentnye dvukhfaznye techeniya. Ch. 1 (Turbulent Two-Phase Flows), Tallinn: Academy of Sciences of the Estonian SSR, 1982, part 1, p. 21.

    Google Scholar 

  58. Laats, M.K., in Turbulentnye dvukhfaznye techeniya. Ch. 1 (Turbulent Two-Phase Flows), Tallinn: Academy of Sciences of the Estonian SSR, 1982, part 1, p. 49.

    Google Scholar 

  59. Zuev, Yu.V. and Lepeshinskii, I.A., in Turbulentnye dvukhfaznye techeniya. Ch. 1 (Turbulent Two-Phase Flows), Tallinn: Academy of Sciences of the Estonian SSR, 1982, p. 16.

    Google Scholar 

  60. Lepeshinskii, I.A., Sovetov, V.A., and Chabanov, V.A., in Turbulentnye dvukhfaznye techeniya i tekhnika eksperimenta. Ch. 2 (Turbulent Two-Phase Flows and Experimental Techniques), Tallinn: Academy of Sciences of the Estonian SSR, 1985, p. 42.

    Google Scholar 

  61. Abramovich, G.N., Girshovich, T.A., Krasheninnikov, S.Yu., Sekundov, A.N., and Smirnova, I.P., Teoriya turbulentnykh strui (The Theory of Turbulent Jets), Moscow: Nauka, 1984.

    Google Scholar 

  62. Varaksin, A.Yu., Polezhaev, Yu.V., and Polyakov, A.F., Preprint of Joint Institute for High Temperatures of the Russian Academy of Sciences, Moscow, 1997, no. 2-406, 1997.

    Google Scholar 

  63. Eaton, J.K. and Fessler, J.R., Int. J. Multiphase Flow, 1994, vol. 20, p. 169.

    Article  MATH  Google Scholar 

  64. Fessler, J.R. and Eaton, J.K., Exp. Therm. Fluid Sci., 1997, vol. 15, p. 413.

    Article  Google Scholar 

  65. Fessler, J.R. and Eaton, J.K., J. Fluid Mech., 1999, vol. 394, p. 97.

    Article  ADS  MATH  Google Scholar 

  66. Elghobashi, S.E. and Abou-Arab, T.W., Phys. Fluids, 1983, vol. 26, no. 4, p. 931.

    Article  ADS  MATH  Google Scholar 

  67. Rizk, M.A. and Elghobashi, S.E., Int. J. Multiphase Flow, 1989, vol. 15, no. 1, p. 119.

    Article  Google Scholar 

  68. Mostafa, A.A. and Mongia, H.C., Int. J. Heat Mass Transfer, 1988, vol. 31, no. 1, p. 2063.

    Article  ADS  Google Scholar 

  69. Berlemont, A., Grancher, M.-S., and Gousbet, G., Int. J. Heat Mass Transfer, 1991, vol. 34, no. 1, p. 2805.

    Article  MATH  Google Scholar 

  70. Lesieur, M. and Metais, O., Annu. Rev. Fluid Mech., 1996, vol. 28, p. 45.

    Article  MathSciNet  ADS  Google Scholar 

  71. Armenio, M., Piomelli, U., and Fiorotto, V., Phys. Fluids, 1999, vol. 11, p. 3030.

    Article  ADS  MATH  Google Scholar 

  72. Boivin, M., Simonin, O., and Squires, K.D., Phys. Fluids, 2000, vol. 12, p. 2080.

    Article  ADS  Google Scholar 

  73. Kuerten, J.G.M. and Vreman, A.W., Phys. Fluids, 2005, vol. 17, paper 011701.

  74. Squires, K.D. and Eaton, J.K., Phys. Fluids, 1990, vol. 2, p. 1191.

    Article  ADS  Google Scholar 

  75. Deutsch, E. and Simonin, O., in Proceedings of the ASME International Symposium on Turbulence Modification in Multiphase Flows, First ASME/JSME Fluids Engineering Conference, Portland, Oregon, United States, June 23–27, 1991, New York: The American Society for Mechanical Engineers, 1991, vol. 110, p. 35.

    Google Scholar 

  76. Wang, Q. and Squires, K.D., Phys. Fluids, 1996, vol. 8, no. 5, p. 1207.

    Article  ADS  MATH  Google Scholar 

  77. Boivin, M., Simonin, O., and Squires, K.D., J. Fluid Mech., 1998, vol. 375, p. 235.

    Article  ADS  MATH  Google Scholar 

  78. Sundaram, S. and Collins, L.R., J. Fluid Mech., 1999, vol. 379, p. 105.

    Article  ADS  MATH  Google Scholar 

  79. Ahmed, A.M. and Elghobashi, S., Phys. Fluids, 2000, vol. 12, p. 2096.

    Article  Google Scholar 

  80. Squires, K.D. and Simonin, O., in Proceedings of the Tenth Workshop on Two-Phase Flow Predictions, Merseburg, Germany, April 9–12, 2002, Merseburg: Martin Luther University, 2002, p. 152.

    Google Scholar 

  81. Druzhinin, O.A. and Elghobashi, S.E., Phys. Fluids, 1998, vol. 10, p. 685.

    Article  ADS  Google Scholar 

  82. Ferry, J. and Balachandar, S., Int. J. Multiphase Flow, 2001, vol. 27, p. 1199.

    Article  MATH  Google Scholar 

  83. Pandya, R.V.R. and Mashayek, F., Int. J. Heat Mass Transfer, 2002, vol. 45, p. 4753.

    Article  MATH  Google Scholar 

  84. Kaufman, A., Simonin, O., and Poinsot, T., Proceedings of the Fifth International Conference on Multiphase Flow (ICMF-2004), Yokohama, Japan, May 30–June 4, 2004, CD-ROM, paper 443.

  85. Moreau, M., Bedat, B., and Simonin, O., in Proceedings of ASME Fluids Engineering Division Summer Meeting and Exhibition, Houston, Texas, United States, June 19–23, 2005, New York: The American Society for Mechanical Engineers, FEDS2005-77306.

  86. Simonin, O., Fevrier, P., and Lavieville, J., J. Turbulence, 2002, vol. 3, p. 040.

    Article  MathSciNet  ADS  Google Scholar 

  87. Fevrier, P., Simonin, O., and Squires, K.D., J. Fluid Mech., 2005, vol. 533, p. 1.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  88. Peskin, C., Acta Numerica, 2002, vol. 11, p. 1.

    Article  MathSciNet  Google Scholar 

  89. Amsden, A.A. and Harlow, F.H., Los Alamos Sci. Lab., Tech. Report LA, 1970, no. LA-4370.

    Google Scholar 

  90. Belotserkovskii, O.M. and Davydov, Yu.M., Nestatsionarnyi metod krupnykh chastits dlya resheniya zadach vneshnei aerodinamiki (Nonstationary Method of Large Particles for Solving the Problems of External Aerodynamics), Moscow: Computing Center of the Academy of Sciences of the Soviet Union, 1970.

    Google Scholar 

  91. Hirt, C.W. and Nichols, B.D., J. Comput. Phys., 1981, no. 39, p. 201.

    Google Scholar 

  92. Khabakhpasheva, E.M. and Perepelitsa, B.V., Inzh.— Fiz. Zh., 1968, vol. 14, no. 4, p. 598.

    Google Scholar 

  93. Adrian, R.J., Annu. Rev. Fluid Mech., 1991, vol. 23, p. 261.

    Article  ADS  Google Scholar 

  94. Alekseenko, S.V., Bilsky, A.V., Dulin, V.M., and Markovich, D.M., Int. J. Heat Fluid Flow, 2007, vol. 28, p. 1340.

    Article  Google Scholar 

  95. Alekseenko, S.V., Antipin, V.A., Bobylev, A.V., and Markovich, D.M., Exp. Fluids, 2007, vol. 43, nos. 2–3, p. 197.

    Article  Google Scholar 

  96. Alekseenko, S.V., Dulin, V.M., Kozorezov, Y.S., and Markovich, D.M., Int. J. Heat Fluid Flow, 2008, vol. 29, p. 1699.

    Article  Google Scholar 

  97. Alekseenko, S.V., Antipin, V.A., Cherdantsev, A.V., Kharlamov, S.M., and Markovich, D.M., Phys. Fluids, 2009, vol. 21, p. 061701.

    Article  ADS  Google Scholar 

  98. Akhmetbekov, Y.K., Alekseenko, S.V., Dulin, V.M., Markovich, D.M., and Pervunin, K.S., Exp. Fluids, 2010, vol. 48, p. 615.

    Article  Google Scholar 

  99. Alekseenko, S., Cherdantsev, A., Cherdantsev, M., Isaenkov, S., Kharlamov, S., and Markovich, D., Exp. Fluids, 2012, vol. 53, no. 1, p. 77.

    Article  Google Scholar 

  100. Varaksin, A.Yu., Polezhaev, Yu.V., and Polyakov, A.F., High Temp., 1998, vol. 36, no. 5, p. 744.

    Google Scholar 

  101. Varaksin, A.Yu., Polezhaev, Yu.V., and Polyakov, A.F., Int. J. Heat Fluid Flow, 2000, vol. 21, no. 5, p. 562.

    Article  Google Scholar 

  102. Pakhomov, M.A., Protasov, M.V., Terekhov, V.I., and Varaksin, A.Yu., Int. J. Heat Mass Transfer, 2007, vol. 50, nos 11–12, p. 2107.

    Article  MATH  Google Scholar 

  103. Varaksin, A.Yu. and Zaichik, L.I., High Temp., 1998, vol. 36, no. 6, p. 983.

    Google Scholar 

  104. Zaichik, L.I. and Varaksin, A.Yu., High Temp., 1999, vol. 37, no. 4, p. 655.

    Google Scholar 

  105. Varaksin, A.Y., Turbulent Particle-Laden Gas Flows, Berlin: Springer-Verlag, 2007.

    Book  Google Scholar 

  106. Zaychik, L.I. and Beketov, A.I., High Temp., 2011, vol. 49, no. 5, p. 719.

    Article  Google Scholar 

  107. Sommerfeld, M., Lain, S., and Kussin, J., in Proceedings of the Fourth International Conference on Multiphase Flow (ICMF-2001), New Orleans, Louisiana, United States, May 27–June 1, 2001, Michaelides, E.E., Ed., Amsterdam (The Netherlands): Elsevier, 2001, paper 520, p. 1.

  108. Sommerfeld, M., Int. J. Multiphase Flow, 2001, vol. 27, p. 1829.

    Article  MATH  Google Scholar 

  109. Kussin, J. and Sommerfeld, M., Exp. Fluids, 2002, vol. 33, p. 143.

    Google Scholar 

  110. Zaichik, L.I. and Alipchenkov, V.M., High Temp., 2012, vol. 50, no. 3, p. 391.

    Article  Google Scholar 

  111. Zaichik, L.I., Mukina, L.S., and Strizhov, V.F., High Temp., 2011, vol. 49, no. 6, p. 867.

    Article  Google Scholar 

  112. Mukin, R.V. and Zaichik, L.I., Int. J. Heat Fluid Flow, 2012, vol. 33, no. 1, p. 81.

    Article  Google Scholar 

  113. Fedorov, A.V., Fomin, V.M., and Gosteev, Yu.A., Dinamika i vosplamenenie gazovzvesei (Dynamics and Ignition of Gas Suspensions), Novosibirsk: Novosibirsk State Technical University, 2006.

    Google Scholar 

  114. Gel’fand, B.E., Khomik, S.V., and Medvedev, S.P., High Temp., 2011, vol. 49, no. 4, p. 576.

    Article  Google Scholar 

  115. Gel’fand, B.E., Medvedev, S.P., Khomik, S.V., and Agafonov, G.L., High Temp., 2010, vol. 48, no. 3, p. 436.

    Article  Google Scholar 

  116. Bronin, S.Ya., Emel’yanov, A.V., Eremin, A.V., and Khrapak, A.G., High Temp., 2011, vol. 49, no. 3, p. 349.

    Article  Google Scholar 

  117. Zinchenko, V.I., Efimov, K.N., and Yakimov, A.S., High Temp., 2011, vol. 49, no. 1, p. 81.

    Article  Google Scholar 

  118. Dombrovskii, L.A., Isakaev, E.Kh., Senchenko, V.N., Chinnov, V.F., and Shcherbakov, V.V., High Temp., 2012, vol. 50, no. 2, p. 145.

    Article  Google Scholar 

  119. Fauchais, P. and Montavon, G., Adv. Heat Transfer, 2007, vol. 40, p. 205.

    Article  Google Scholar 

  120. Fauchais, P. and Montavon, G., Key Eng. Mater., 2008, vol. 384, p. 1.

    Article  Google Scholar 

  121. Fauchais, P., Montavon, G., and Bertrand, G., J. Therm. Spray Tech., 2010, vol. 19, nos. 1–2, p. 56.

    Article  ADS  Google Scholar 

  122. Grishin, Yu.M., Kozlov, N.P., and Skryabin, A.S., High Temp., 2012, vol. 50, no. 4, p. 459.

    Article  Google Scholar 

  123. Fortov, V.E. and Petrov, O.F., High Temp., 2010, vol. 48, no. 6, p. 943.

    Article  Google Scholar 

  124. Vaulina, O.S. and Khrustalev, Yu.V., High Temp., 2011, vol. 49, no. 3, p. 344.

    Article  Google Scholar 

  125. Vasilyak, L.M., Polyakov, D.N., Fortov, V.E., and Shumova, V.V., High Temp., 2011, vol. 49, no. 5, p. 623.

    Article  Google Scholar 

  126. Loktionov, E.Yu. and Protasov, Yu.Yu., High Temp., 2011, vol. 49, no. 1, p. 36.

    Article  Google Scholar 

  127. Dikalyuk, A.S. and Surzhikov, S.T., High Temp., 2012, vol. 50, no. 5, p. 571.

    Article  Google Scholar 

  128. Vasiliev, M.M., Antipov, S.N., and Petrov, O.F., J. Phys. A: Math. Gen., 2006, vol. 39, no. 17, p. 4539.

    Article  ADS  Google Scholar 

  129. Bityurin, V.A. and Klyuchnikov, N.I., High Temp., 2011, vol. 49, no. 4, p. 466.

    Article  Google Scholar 

  130. Sinkevich, O.A., Deputatova, L.V., Filinov, V.S., Fortov, V.E., Naumkin, V.N., Vladimirov, V.I., Meshakin, V.I., and Rykov, V.A., High Temp., 2012, vol. 50, no. 1, p. 1.

    Article  Google Scholar 

  131. Tsirkunov, Yu.M., in Proceedings of the Fourth International Conference on Multiphase Flow (ICMF-2001), New Orleans, Louisiana, United States, May 27–June 1, 2001, paper 607, p. 1 (CD-ROM).

  132. Molleson, G.V. and Stasenko, A.L., High Temp., 2011, vol. 49, no. 1, p. 72.

    Article  Google Scholar 

  133. Sukhorukov, A.L., Vestn. Molodykh Uchenykh, Ser.: Prikl. Mat. Mekh., 2002, no. 1, p. 98.

    Google Scholar 

  134. Sinkevich, O.A., Glazkov, V.V., and Kireeva, A.N., High Temp., 2012, vol. 50, no. 4, p. 517.

    Article  Google Scholar 

  135. Van de Hulst, G., Light Scattering by Small Particles, New York: Wiley, 1957.

    Google Scholar 

  136. Bohren, C. and Huffman, D., Absorption and Scattering of Light by Small Particles, New York: Wiley, 1983.

    Google Scholar 

  137. Mishchenko, M.I., Hovenier, J.W., and Travis, L.D., Light Scattering by Nonspherical Particles: Theory, Measurements, and Applications, San Diego: Academic, 2000.

    Google Scholar 

  138. Vasil’eva, I.A., High Temp., 2011, vol. 49, no. 1, p. 108.

    Article  MathSciNet  Google Scholar 

  139. Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Taekin, S.I., High Temp., 2010, vol. 48, no. 2, p. 251.

    Article  Google Scholar 

  140. Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., High Temp., 2010, vol. 48, no. 4, p. 588.

    Article  Google Scholar 

  141. Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., High Temp., 2010, vol. 48, no. 6, p. 918.

    Article  Google Scholar 

  142. Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., High Temp., 2011, vol. 49, no. 2, p. 310.

    Article  Google Scholar 

  143. Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., High Temp., 2009, vol. 47, no. 6, p. 836.

    Article  Google Scholar 

  144. Varaksin, A.Yu., Romash, M.E., and Kopeitsev, V.N., High Temp., 2010, vol. 48, no. 3, p. 411.

    Article  Google Scholar 

  145. Varaksin, A.Yu., Romash, M.E., Kopeitsev, V.N., and Gorbachev, M.A., High Temp., 2012, vol. 50, no. 4, p. 496.

    Article  Google Scholar 

  146. Gurentsov, E.V. and Eremin, A.V., High Temp., 2011, vol. 49, no. 5, p. 667.

    Article  Google Scholar 

  147. Eremin, A.V., Gurentsov, E.V., Kock, B., and Schulz, Ch., J. Phys. D: Appl. Phys., 2008, vol. 41, p. 521.

    Article  Google Scholar 

  148. Karpukhin, V.T., Malikov, M.M., Borodina, T.I., Val’yano, G.E., and Gololobova, O.A., High Temp., 2012, vol. 50, no. 3, p. 366.

    Article  Google Scholar 

  149. Kartushinskii, A.I., Rudi, Yu.A., Tisler, S.V., Khusainov, M.T., and Shcheglov, I.N., High Temp., 2012, vol. 50, no. 3, p. 381.

    Article  Google Scholar 

  150. Bityukov, V.K. and Petrov, V.A., High Temp., 2011, vol. 49, no. 3, p. 380.

    Article  Google Scholar 

  151. Funtikov, A.I., High Temp., 2011, vol. 49, no. 3, p. 439.

    Article  Google Scholar 

  152. Pesochin, V.R., High Temp., 2011, vol. 49, no. 6, p. 906.

    Article  Google Scholar 

  153. Pakhomov, M.A. and Terekhov, V.I., Int. J. Heat Mass Transfer, 2010, vol. 53, p. 3156.

    Article  MATH  Google Scholar 

  154. Pakhomov, M.A. and Terekhov, V.I., J. Appl. Mech. Tech. Phys., 2011, vol. 52, no. 1, p. 96.

    Article  ADS  Google Scholar 

  155. Pakhomov, M.A. and Terekhov, V.I., Int. J. Heat Mass Transfer, 2011, vol. 54, p. 4266.

    Article  MATH  Google Scholar 

  156. Pakhomov, M.A. and Terekhov, V.I., Int. J. Therm. Sci., 2012, vol. 60, p. 1.

    Article  Google Scholar 

  157. Terekhov, V.I. and Pakhomov, M.A., High Temp., 2009, vol. 47, no. 3, p. 400.

    Article  Google Scholar 

  158. Terekhov, V.I. and Pakhomov, M.A., Thermophys. Aeromech., 2008, vol. 15, no. 4, p. 589.

    ADS  Google Scholar 

  159. Terekhov, V.I. and Pakhomov, M.A., Int. J. Heat Mass Transfer, 2009, vol. 52, p. 4711.

    Article  MATH  Google Scholar 

  160. Panao, M.R.O. and Moreira, A.L.N., Int. J. Heat Fluid Flow, 2009, vol. 30, p. 117.

    Article  Google Scholar 

  161. Moreira, A.L.N., Carvalho, J., and Panao, M.R.O., Int. J. Heat Fluid Flow, 2007, vol. 28, p. 191.

    Article  Google Scholar 

  162. Nazarov, A.D., Serov, A.F., and Terekhov, V.I., High Temp., 2011, vol. 49, no. 1, p. 116.

    Article  Google Scholar 

  163. Gubaidullin, D.A., Zaripov, R.G., and Tkachenko, L.A., High Temp., 2012, vol. 50, no. 4, p. 564.

    Article  Google Scholar 

  164. Bulanov, N.V. and Gasanov, B.M., High Temp., 2011, vol. 49, no. 2, p. 213.

    Article  Google Scholar 

  165. Rozentsvaig, A.K. and Strashinskii, Ch.S., High Temp., 2011, vol. 49, no. 1, p. 143.

    Article  Google Scholar 

  166. Zaichik, L.I., Mukin, R.V., Mukina, L.S., Strizhov, V.F., and Filippov, A.S., High Temp., 2012, vol. 50, no. 1, p. 70.

    Article  Google Scholar 

  167. Zaichik, L.I., Mukin, R.V., Mukina, L.S., and Strizhov, V.F., High Temp., 2012, vol. 50, no. 5, p. 621.

    Article  Google Scholar 

  168. Kashinsky, O.N., Lobanov, P.D., Pakhomov, M.A., Randin, V.V., and Terekhov, V.I., Int. J. Heat Mass Transfer, 2006, vol. 49, p. 3717.

    Article  Google Scholar 

  169. Bannari, R., Kerdouss, F., Selma, B., Bannari, A., and Proulx, P., Comput. Chem. Eng., 2008, vol. 32, p. 3224.

    Article  Google Scholar 

  170. Krepper, E., Lucas, D., Frank, T., Prasser, H.-M., and Zwart, P.J., Nucl. Eng. Des., 2008, vol. 238, p. 1690.

    Article  Google Scholar 

  171. Podowski, M.Z., Nucl. Eng. Des., 2009, vol. 239, p. 933.

    Article  Google Scholar 

  172. Morel, C., Ruyer, P., Seiler, N., and Lavieville, J.M., Int. J. Multiphase Flow, 2010, vol. 36, p. 25.

    Article  Google Scholar 

  173. Pakhomov, M.A. and Terekhov, V.I., High Temp., 2011, vol. 49, no. 5, p. 712.

    Article  Google Scholar 

  174. Terekhov, V.I. and Pakhomov, M.A., Int. J. Therm. Sci., 2004, vol. 43, no. 6, p. 595.

    Article  Google Scholar 

  175. Terekhov, V.I. and Pakhomov, M.A., High Temp., 2008, vol. 46, no. 6, p. 854.

    Article  Google Scholar 

  176. Zeigarnik, Yu.A., Platonov, D.N., Khodakov, K.A., and Shekhter, Yu.L., High Temp., 2011, vol. 49, no. 4, p. 566.

    Article  Google Scholar 

  177. Zeigarnik, Yu.A., Platonov, D.N., Khodakov, K.A., and Shekhter, Yu.L., High Temp., 2012, vol. 50, no. 1, p. 78.

    Article  Google Scholar 

  178. Zeigarnik, Yu.A., Khodakov, K.A., and Shekhter, Yu.L., High Temp., 2012, vol. 50, no. 3, p. 407.

    Article  Google Scholar 

  179. Pokusaev, B.G., Nekrasov, D.A., and Tairov, E.A., High Temp., 2012, vol. 50, no. 1, p. 84.

    Article  Google Scholar 

  180. Eronin, A.A., Malyshenko, S.P., and Zhuravlev, A.I., High Temp., 2011, vol. 49, no. 3, p. 430.

    Article  Google Scholar 

  181. Agaltsov, A.M., Pohodalova, A.B., and Shmelkov, Yu.B., High Temp., 2011, vol. 49, no. 6, p. 893.

    Article  Google Scholar 

  182. Danilov, I.M., Iorish, V.S., and Son, E.E., High Temp., 2011, vol. 49, no. 2, p. 217.

    Article  Google Scholar 

  183. Desyatov, A.V., Il’mov, D.N., Kubyshkin, A.P., and Cherkasov, S.G., High Temp., 2011, vol. 49, no. 3, p. 422.

    Article  Google Scholar 

  184. Il’mov, D.N. and Cherkasov, S.G., High Temp., 2012, vol. 50, no. 5, p. 631.

    Article  Google Scholar 

  185. Korobeinikov, S.M., Soloveichik, Yu.G., Bychkov, A.L., Vagin, D.V., Melekhov, A.V., and Ryzhkina, A.Yu., High Temp., 2011, vol. 49, no. 5, p. 744.

    Article  Google Scholar 

  186. Ramazanov, A.Sh. and Parshin, A.V., High Temp., 2012, vol. 50, no. 4, p. 567.

    Article  Google Scholar 

  187. Sychev, A.I., High Temp., 2011, vol. 49, no. 3, p. 398.

    Article  Google Scholar 

  188. Davidson, G.A., J. Atmos. Sci., 1975, vol. 32, no. 11, p. 2201.

    Article  ADS  Google Scholar 

  189. Gumerov, N.A., Ivandaev, A.I., and Nigmatulin, R.I., Sov. Phys. Dokl., 1983, vol. 28, no. 9, p. 713.

    ADS  MATH  Google Scholar 

  190. Gumerov, N.A., Ivandaev, A.I., and Nigmatulin, R.I., J. Fluid Mech., 1988, vol. 193, p. 53.

    Article  ADS  MATH  Google Scholar 

  191. Nigmatulin, R.I. and Gubaidullin, D.A., Dokl. Phys., 1996, vol. 41, no. 3, p. 101.

    ADS  Google Scholar 

  192. Nigmatulin, R.I., Ivandaev, A.I., and Gubaidullin, D.A., Sov. Phys. Dokl., 1991, vol. 36, no. 1, p. 68.

    ADS  MATH  Google Scholar 

  193. Gubaidullin, D.A., Dinamika dvukhfaznykh parogazokapel’nykh sred (Dynamics of Two-Phase Vapor-Gas-Drop Media), Kazan: The Kazan Mathematical Society, 1998.

    Google Scholar 

  194. Gubaidullin, D.A., Nikiforov, A.A., and Utkina, E.A., High Temp., 2011, vol. 49, no. 6, p. 911.

    Article  Google Scholar 

  195. Gubaidullin, D.A., Nikiforov, A.A., and Gafiyatov, R.N., High Temp., 2012, vol. 50, no. 2, p. 250.

    Article  Google Scholar 

  196. Gubaidullin, D.A. and Fedorov, Yu.V., High Temp., 2012, vol. 50, no. 5, p. 616.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute of High Temperatures, Russian Academy of Sciences, Moscow, Russia

    A. Yu. Varaksin

Authors
  1. A. Yu. Varaksin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Original Russian Text © A.Yu. Varaksin, 2013, published in Teplofizika Vysokikh Temperatur, 2013, Vol. 51, No. 3, pp. 421–455.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Varaksin, A.Y. Fluid dynamics and thermal physics of two-phase flows: Problems and achievements. High Temp 51, 377–407 (2013). https://doi.org/10.1134/S0018151X13030073

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0018151X13030073

Keywords

Search

Navigation