Instabilites thermoconvectives en milieu poreux et en gaz rarefies

  • J. J. Bernard
  • J. P. Caltagirone
A. Effets prétransitionnels et étude du point critique
Part of the Lecture Notes in Physics book series (LNP, volume 72)


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  1. J.L. BECK, Convection in a box of porous materiel saturated with fluid, The Phys. Fluid, 15, 1377–1383, 1972.Google Scholar
  2. E.H. BISHOP, C.T. CARLEY, R.E. POWE, Natural convective oscillatory flow in cylindrical annuli, I.J.H.M.T., 11, 1741–1752, 1968.Google Scholar
  3. S.A. BORIES et M.A. COMBARNOUS, Natural convection in a sloping porous layer, J. Fluid Mech., 57, 63–79, 1973.Google Scholar
  4. J.P. CALTAGIRONE, Thermoconvective instabilities in a porous layer, J. Fluid Mech., 72, 269–287, 1975.Google Scholar
  5. J.P. CALTAGIRONE, Thermoconvective instabilities in a porous medium bounded by two concentric horizontal cylinders, J. Fluid Mech., 76, 337–362, 1976.Google Scholar
  6. S. CHANDRASEKHAR, Hydrodynamic and Hydromagnetic stability, Oxford Univ. Press Clarendon, London N-Y, 1961.Google Scholar
  7. M.A. COMBARNOUS, S.A. BORIES, Hydrothermal convection in satured porous media, Advances in Hydroscience, 10, 231–317, Acad. Press, 1975.Google Scholar
  8. M.A. COMBARNOUS, B. LE FUR, Transfert de chaleur par convection naturelle dans une couche poreuse horizontale, Comptes-Rendus Acad. Sci., B, 269, 1009–1012, 1969.Google Scholar
  9. L. CRAWFORD, R. LEMLICH, Natural convection in horizontal concentric cylindrical annuli, Indus. Eng. Chem. Fundamentals, 1, 260–264, 1962.Google Scholar
  10. B.A. FINLAYSON, The Galerkin method applied to convective instatibility problems, J. Fluid Mech., 33, 201–208, 1968.Google Scholar
  11. B.A. FINLAYSON, The method of weighted residuals and variationnal principles Acad. Press, 1972.Google Scholar
  12. P. GLANSDORFF, Non-equilibrium thermodynamics, variationnal techniques and stability, Univ. Chicago Press, Chicago and London, 1965.Google Scholar
  13. P. GLANSDORFF, I. PRIGOGINE, Structure, stability et fluctuations, Masson, 1971.Google Scholar
  14. U. GRIGULL, W. HAUF, Natural convection in horizontal cylindrical annuli, Proc. Third Int. Heat Transfer Conf. Pap. 60, 182–195, 1966.Google Scholar
  15. R.N. HORNE, M.J. O'SULLIVAN, Oscillatory in horizontal in a porous medium heated from below, J. Fluid Mech., 66, 339–352, 1974.Google Scholar
  16. L.V. KANTOROVICH, V.I. KRYLOV, Approximate methods in higher analysis, ed. P. NOORDHOFF, Gröningen, the Netherlands, 1958.Google Scholar
  17. Y. KATTO, T. MASUOKA, Criterion for onset of convective flow in a fluid in a porous medium, I.J.H.M.T., 10, 297–309, 1967.Google Scholar
  18. C.W. HORTON, F.T. ROGERS, Convection currents in a porous medium, J. Appl. Phys. 16 367–370, 1945.Google Scholar
  19. M.N. KOGAN, Molecular Gas Dynamics, in Annual Rev. of Fluid Mechanics vol. 5, 383–404 Palo Alto, 1973Google Scholar
  20. R. KRISHNAMURTI, On the transition to turbulent convection. Part 1 — the transition from two-to three-dimensional flow, J. Fluid. Mech., 42, 295–307, 1970.Google Scholar
  21. E.R. LAPWOOD, Convection of a fluid in a porous medium, Proc. Cambridge Phil.Soc. 44, 508–521, 1948.Google Scholar
  22. J. LASALLE, S. LEFSCHETZ, Stability by Liapunov's direct method, Acad Press, 1961.Google Scholar
  23. C.C. LIN, The theory of hydrodynamic stability, Cambridge Univ. Press, London, 1955.Google Scholar
  24. D.R. MOORE, N.O. WEISS, Nonlinear penetrative convection, J. Fluid Mech., 61, 553–581, 1973Google Scholar
  25. D.A. NIELD, The onset of transient convection instability, J. Fluid Mech., 71, 441–454, 1975.Google Scholar
  26. L.R. MACK, E.H. BISHOP, Natural convection between horizontal concentric cylinders for low Rayleigh numbers. Quart. J. Mech. and Appl. Math., 21, 223–241, 1968.Google Scholar
  27. Y. SONE, Rarefied gas flow induced between non parallel plane walls with different temperatures. Rarefied Gas Dynamic. Proceedings of the Ninth International Symposium, II, Edited by M. BECKER and FIEBIG, D.F.V.L.R. Press, D-23.1, 1974.Google Scholar

Copyright information

© Springer-Verlag 1978

Authors and Affiliations

  • J. J. Bernard
    • 1
  • J. P. Caltagirone
    • 1
  1. 1.Laboratoire d'Aérothermique du C.N.R.S.Meudon

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