Skip to main content
Log in

Free convection in the internal problem: Results and prospects

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

The fundamental features of free convection, its current classification, mathematical modeling, and software based on a computer laboratory are discussed, and findings of an investigation of the structure of free convection in closed regions, new formulations of problems of free convection in compressible media, and results on the relation of microacceleration measurements and calculations and programs that model free convection are given.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. G. A. Ostroumov, Free Convection in the Internal Problem [in Russian], Leningrad (1952).

  2. L. D. Landau and E. M. Lifshits, Theoretical Physics, Vol. 6. Fluid Dynamics [in Russian], Moscow (1986).

  3. S. Chandrasekhar, Hydrodynamic and Hydromagnetic Stability, Oxford Univ. Press (1961).

  4. S. Ostrach, “Laminar flows with body forces,” in: Theory of Laminar Flows, Oxford Univ. Press, London, Vol. 4 (1964).

    Google Scholar 

  5. B. S. Petukhov, Heat Transfer and Resistance in Laminar Liquid Flow in Tubes [in Russian], Moscow (1967).

  6. G. Z. Gershuni and E. M. Zhukhovitskii, Convective Stability of an Incompressible Fluid [in Russian], Moscow (1972).

  7. J. S. Turner, Buoyancy Effects in Fluids, Cambridge, Univ. Press (1973).

    MATH  Google Scholar 

  8. A. V. Luikov and B. M. Berkovskii, Convection and Waves [in Russian], Minsk (1975).

  9. O. Jseph, Stability of Fluid Motion [Russian translation], Moscow (1981).

  10. J. G. Martynenko and Yu. A. Sokovishin, Free-Convective Heat Transfer [in Russian], Handbook, Minsk (1982).

    Google Scholar 

  11. S. Kukac, W. Aung, and R. Viskanta, Natural Convection Fundamentals, McGraw-Hill, N. Y. (1985).

    Google Scholar 

  12. V. I. Polezhaev, A. V. Bune, N. A. Verezub, et al., Mathematical Simulation of Convective Heat-Mass Transfer Based on the Navier-Stokes Equations [in Russian], Moscow (1987).

  13. B. Gebhart, Y. Jaluria, L. L. Mahajaa, and B. Sommakia, Buoyancy-Induced Flows and Transport, Hemisphere, New York (1988).

    MATH  Google Scholar 

  14. Yu. V. Lapin and M. Kh. Strelets, Internal Flows of Gas Mixtures [in Russian], Moscow (1989).

  15. G. Z. Gershuni, E. M. Zhukhovitskii, and A. A. Nepomnyashchii, Stability of Convective Flows [in Russian], Moscow (1989).

  16. V. I. Polezhaev, M. S. Bello, N. A. Verezub, et al., Convective Processes under Zero-Gravity Conditions [in Russian], Moscow (1991).

  17. B. S. Petukhov, in: Heat Transfer in a Moving One-Phase Medium. Laminar Boundary Layer (ed. A. F. Polyakov) [in Russian], Moscow (1993).

  18. Yu. K. Bratukhin and S. O. Makarov, Interphase Convection [in Russian], Perm (1994).

  19. A. M. Kutepov, A. D. Polyanin, Z. D. Zapryanov, et al., Chemical Hydrodynamics [in Russian], Reference Book, Moscow (1996).

    Google Scholar 

  20. V. I. Polezhaev, in: Proc. of the Russian National Conference on Heat Transfer, Vol. 2. Free Convection, Krasnogorsk (1994), pp. 3–10.

    Google Scholar 

  21. De Vahl Davis, Int. J. Numer. Methods Fluids,3, 249–264 (1983).

    Article  MATH  Google Scholar 

  22. V. M. Paskonov, V. I. Polezhaev, and L. A. Chudov, Numerical Simulation of Heat and Mass Transfer Processes [in Russian], Moscow (1984).

  23. B. M. Berkovskii and V. K. Polevikov, Computational Experiments in Convection [in Russian], Minsk (1988).

  24. E. L. Tarunin, Computational Experiments in Problems of Free Convection [in Russian], Irkutsk (1990).

  25. V. I. Polezhaev, in: Heat and Mass Transfer [in Russian], Vol. 1, Minsk (1968), pp. 631–640.

  26. V. I. Polezhaev, in: Some Applications of the Grid Method in Gas Dynamics [in Russian], Issue 4, Moscow (1971), pp. 86–180.

  27. S. Paolucci, Sandia National Livermore Laboratory, SAND 82-82251 (1982).

  28. V. V. Pukhnachev, Izv. Akad. Nauk SSSR, MZhG, No. 5, 76–85 (1994).

    MathSciNet  Google Scholar 

  29. K. A. Nadolin, Izv. RAN, MZhG, No. 3, 43–49 (1995).

    Google Scholar 

  30. G. Z. Gershuni, D. V. Lyubimov, T. P. Lyubimova, and V. Ru, Izv. RAN, MZhG, No. 5, 53–61 (1994).

    Google Scholar 

  31. V. I. Polezhaev, Izv. RAN, MZhG, No. 5, 22–36 (1994).

    Google Scholar 

  32. A. A. Samarskii and P. N. Vabishevich, Computational Heat Transfer, Vol. 1. Mathematical Modeling, Wiley (1995), p. 406; Vol. 2. The Finite Difference Methods Methodology, Wiley (1995), p. 417.

  33. V. I. Polezhaev, M. K. Ermakov, V. L. Griaznov, S. A. Nikitin, et al., 46th Int. Astron. Congress, Oct. 2–6, 1995, Oslo, Norway, IAF-95—J. 3. 11, p. 9.

  34. A. K. Sen, in: Encyclopedia of Fluid Mechanics (ed. N. P. Cheremisinoff), Vol. 1 (1986), pp. 896–930.

  35. A. Afrid, and A. Zebib, Phys. Fluids,A2(8), 1318–1327 (1990).

    Article  Google Scholar 

  36. J. Fusegi et al., Int. J. Heat Mass Transfer,34, 1543–1557 (1991).

    Article  Google Scholar 

  37. V. Babu, and S. A. Korpela, Computers Fluids,23, No. 5, 675–691 (1994).

    Article  MATH  Google Scholar 

  38. O. Bessonov, V. Brailovskaya, V. Polezhaev, and B. Roux, Lecture Notes in Computer Science, No. 964, 385–399, (1995).

    Google Scholar 

  39. R. V. Birikh, Zh. Prikl. Mekh. Tekh. Fiz., No. 3, 67–72 (1966).

    Google Scholar 

  40. S. A. Nikitin, D. S. Pavlovskii, and V. I. Polezhaev, Izv. RAN, MZhG, No. 4 (1996).

  41. V. A. Andrushchenko, and A. A. Gorbunov, Izv. RAN, MZhG, No. 5, 20–26 (1993).

    Google Scholar 

  42. D. Beysens, Lecture Notes in Physics,464, 3–25 (1996).

    Article  Google Scholar 

  43. B. Zappoli and A. Durand-Daubin, Acta Aeronautica,29, No. 10/11, 848–859 (1993).

    Google Scholar 

  44. B. Zappoli, S. Amiroudine, P. Carles, and J. Ouazzani, Lecture Notes in Physics,464 (1996), pp. 27–40.

    Google Scholar 

  45. A. A. Gorbunov, Izv. RAN, MZhG, No. 5 (1994).

  46. M. J. B. Rogers, C. R. Baugher, R. C. Blanchard, et al., Microgravity Sci. Technol.,13, 207 (1993).

    Google Scholar 

  47. J. I. D. Alexander, Microgravity Sci. Technol.,3, 52 (1990).

    Google Scholar 

  48. V. I. Polezhaev, Microgravity Quarterly,4, No. 4, 241–246 (1994).

    Google Scholar 

  49. V. V. Sazonov, M. M. Komarov, M. Yu. Belyaev, S. G. Zykov, and V. M. Stazhkov, Preprint No. 45, Institute of Applied Mathematics of the Russian Academy of Sciences, Moscow (1995).

  50. G. P. Bogatyryov, G. F. Putin, M. K. Ermakov, S. A. Nikitin, et al., The 33rd Aerospace Sciences Meeting and Exhibit, AIAA 95-0890, Jan. 9–12, 1995, Reno, NV.

Download references

Authors

Additional information

Institute of Problems in Mechanics, Russian Academy of Sciences, Moscow, Russia. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 69, No. 6, pp. 909–920, November–December, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Polezhaev, V.I. Free convection in the internal problem: Results and prospects. J Eng Phys Thermophys 69, 676–687 (1996). https://doi.org/10.1007/BF02606100

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02606100

Keywords

Navigation