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On steady convection in a porous medium

Published online by Cambridge University Press:  29 March 2006

Enok Palm ,
Jan Erik Weber  and
Oddmund Kvernvold
Enok Palm
Affiliation:
Institute of Mathematics, University of Oslo
Jan Erik Weber
Affiliation:
Institute of Mathematics, University of Oslo
Oddmund Kvernvold
Affiliation:
Institute of Mathematics, University of Oslo
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Abstract

For convection in a porous medium the dependence of the Nusselt number on the Rayleigh number is examined to sixth order using an expansion for the Rayleigh number proposed by Kuo (1961). The results show very good agreement with experiment. Additionally, the abrupt change which is observed in the heat transport at a supercritical Rayleigh number may be explained by a breakdown of Darcy's law.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 54 , Issue 1 , 11 July 1972 , pp. 153 - 161
Copyright
© 1972 Cambridge University Press

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References

Elder, J. W. 1967 J. Fluid Mech. 27, 29.
Horton, C. W. & Rogers, F. T. 1945 J. Appl. Phys. 16, 367.
Kuo, H. L. 1961 J. Fluid Mech. 10, 611.
Lapwood, E. R. 1948 Proc. Camb. Phil. Soc. 44, 508.
Palm, E., Ellingsen, T. & Gjevik, B. 1967 J. Fluid Mech. 30, 651.
Palm, E. & Weber, J. E. 1971 Inst. Math. University of Oslo Preprint Ser. no. 4.
Pillow, A. F. 1952 Aust. Dep. Supply. Aero. Res. Lab. Rep. A 79.
Schlüter, A., Lortz, D. & Busse, F. 1965 J. Fluid Mech. 23, 129.
Schneider, K. J. 1963 11th Int. Cong. of Refrigeration, Munich Paper, no. 11–4.
Wooding, R. A. 1957 J. Fluid Mech. 2, 273.
Wooding, R. A. 1958 J. Fluid Mech. 3, 582.