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Modelling of thermogravitation convection in closed volume with local sources of heat release

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Thermophysics and Aeromechanics Aims and scope

Abstract

A mathematical model is presented for unsteady conjugate convective-conductive heat transfer in a closed volume with local sources of heat release under the conditions of a convective-radiation heat exchange on one of external faces of the solution region. The thermogravitation convection regime was analysed for moderate Grashof numbers. The typical temperature and velocity fields were obtained, and the fields of desired quantities were compared for the planar and three-dimensional models in one of the typical sections of the solution region.

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References

  1. A. Liagat and A.C. Baytas, Conjugate natural convection in a square enclosure containing volumetric sources, Intern. J. Heat and Mass Transfer, 2001, Vol. 44, P. 3273–3280.

    Article  Google Scholar 

  2. O. Polat and E. Bilgen, Conjugate heat transfer in inclined open shallow cavities, Ibid., 2003, Vol. 46, P. 1563–1673.

    Article  MATH  Google Scholar 

  3. G. Jilani, S. Jayaraj, and M.A. Ahmad, Conjugate forced convection-conduction heat transfer analysis of a heat generating vertical cylinder, Ibid., 2002, Vol. 45, P. 331–341.

    Article  MATH  Google Scholar 

  4. L.A. Moiseeva and S.G. Cherkasov, Natural convection and heat exchange in a cylindrical container at a distributed heat supply and the presence of local heat sinks on the wall, in: Proc. 2nd Russian Nat. Conf. on Heat Exchange, Vol. 3, Moscow, 1998, P. 108–111.

    Google Scholar 

  5. L.A. Moiseeva and S.G. Cherkasov, Theoretic investigation of quasi-stationary regime of natural convection in a vertical cylindrical container with heat-conducting wall, in: Proc. 3rd Russian Nat. Conf. on Heat Exchange, Vol. 3, Moscow, 2002, P. 116–119.

    Google Scholar 

  6. Y. Jaluria, Natural Convection. Heat and Mass Transfer, Pergamon Press, Oxford, 1980.

    Google Scholar 

  7. Yu.A. Sokovishin and O.G. Martynenko, Introduction in the Theory of Free Convective Heat Exchange, Leningrad State Univ., Leningrad, 1982.

    Google Scholar 

  8. V.I. Terekhov, V.V. Terekhov, and V.V. Grishchenko, Heat-transfer control in vertical enclosures with multiple fins attached to the walls, Proc. 6th ISHT, Beijing, 2004, P. 578–582.

  9. A.V. Lykov, Theory of Thermal Conductivity, Vysshaya shkola, Moscow, 1967.

    Google Scholar 

  10. C.A.J. Fletcher, Computational Techniques for Fluid Dynamics, Vol. 2, Springer-Verlag, Berlin et al., 1988.

    MATH  Google Scholar 

  11. K. Aziz and J.D. Hellums, Numerical solution of three-dimensional equations of motion for laminar natural convection, Phys. Fluids, 1967, Vol. 10, No. 2, P. 314–324.

    Article  MATH  Google Scholar 

  12. P.H. Oosthuizen and J.T. Paul, Natural convection in a rectangular enclosure with two heated sections on the lower surface, Intern. J. Heat and Fluid Flow, 2005, Vol. 26, P. 587–596.

    Article  Google Scholar 

  13. V.M. Paskonov, V.I. Polezhaev, and L.A. Chudov, Numerical Modelling of Heat and Mass Exchange Processes, Nauka, Moscow, 1984.

    Google Scholar 

  14. P. Roache, Computational Fluid Dynamics, Hermosa, Albuquerque, N.M., 1976.

    Google Scholar 

  15. E.L. Tarunin, Numerical Experiment in Problems of Natural Convection, Irkutsk State Univ., Irkutsk, 1990.

    Google Scholar 

  16. A.A. Samarsky, Theory of Difference Schemes, Nauka, Moscow, 1977.

    Google Scholar 

  17. I.S. Berezin and N.P. Zhidkov, Methods of Calculations, Vol. 2, Fizmatgiz, Moscow, 1962.

    Google Scholar 

  18. O.A. Bessonov, V.A. Brailovskaya, S.A. Nikitin, and V.I. Polezhaev, Three-dimensional natural convection in a cubical enclosure: a benchmark numerical solution, in: Proc. Intern. Symp. on Advances in Computational Heat Transfer, May 26–30, 1997, Cesme, Izmir, Turkey, P. 157–165.

    Google Scholar 

  19. T. Fusegi, J.M. Hyin, and K. Kuwahara, A numerical study of 3D natural convection in a differently heated cubical enclosure, Intern. J. Heat and Mass Transfer, 1991, Vol. 34, P. 1543–1557.

    Article  Google Scholar 

  20. V.K. Artemiev and M.M. Rozhkov, Numerical modelling of three-dimensional natural convection in a cubic cavity, in: Proc. XIII School-Seminar of Young Scientists and Specialitsts Supervised by Academician of RAS A.I. Leontiev “Physical Foundations of Experimental and Mathematical Modelling of Processes of Gas Dynamics and Heat and Mass Exchange in Power Units”, St. Petersburg, Vol. 1, 2001, P. 153–157.

    Google Scholar 

  21. V.P. Ginkin and S.M. Ganina, Method and program for computing three-dimensional convection on grids of large dimension, in: Proc. 3rd Russ. Nat. Conf. on Heat Exchange, Vol. 3, Moscow, 2002, P. 49–52.

    Google Scholar 

  22. G.V. Kuznetsov and M.A. Sheremet, Modelling of unsteady heat transfer in a closed region with local source of heat release, Thermophysics and Aeromechanics, 2005, Vol. 12, No. 2, P. 305–314.

    Google Scholar 

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The work was supported by the Russian Foundation for Basic Research and Administration of the Tomsk Region (No. 05-02-98006, competition r_ob_a).

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Kuznetsov, G.V., Sheremet, M.A. Modelling of thermogravitation convection in closed volume with local sources of heat release. Thermophys. Aeromech. 13, 565–574 (2006). https://doi.org/10.1134/S086986430604010X

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  • DOI: https://doi.org/10.1134/S086986430604010X

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