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A boundary-layer model of flow in a porous medium at high Rayleigh number

Published online by Cambridge University Press:  29 March 2006

J. L. Robinson  and
M. J. O'Sullivan
J. L. Robinson
Affiliation:
Applied Mathematics Division, DSIR, Wellington, New Zealand
M. J. O'Sullivan
Affiliation:
Department of Theoretical and Applied Mechanics, University of Auckland, New Zealand
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Abstract

A boundary-layer model, based on computational results, describes a number of features of two-dimensional convection in a porous medium: the heat flux, velocity, length and temperature scales and the pattern of flow. The cell structure is different from that for convection in a viscous fluid. The model is valid for a limited range of the Rayleigh number.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 75 , Issue 3 , 11 June 1976 , pp. 459 - 467
Copyright
© 1976 Cambridge University Press

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References

Busse, F. H. & Joseph, D. D. 1972 J. Fluid Mech. 54, 521.
Caltagirone, J. P., Cloupeau, M. & Combarnous, M. A. 1971 Comptes Rendus Acad. Sci. Paris, B 273, 833.
Combarnous, M. A. 1970 Rev. Gén. Thermique, 9, 1377.
Combarnous, M. A. & Bia, P. 1971 Soc. Pet. Engrs J. 4, 399.
Elder, J. W. 1967 J. Fluid Mech. 27, 29.
Gupta, V. P & Joseph, D. D. 1973 J. Fluid Mech. 57, 491.
Horne, R. N. & O'SULLIVAN, M. J. 1974 J. Fluid Mech. 66, 399.
Palm, E., Weber, J. E. & Kvernvold, O. 1972 J. Fluid Mech. 54, 153.
Pillow, A. F. 1952 Astr. Dept. Supply Aero. Res. Lab. Rep. A79.
Robinson, J. L. 1967 J. Fluid Mech. 30, 577.
Robinson, J. L. 1969 Int. J. Heat Mass Transfer, 12, 1257.
Robinson, J. L. 1973 N.Z. J. Sci. 16, 389.
Schneider, K. J. 1963 11th Cong. Refrigeration (Munich), paper 11–810.
Turcotte, D. L. & Oxburgh, E. R. 1967 J. Fluid Mech. 28, 29.
Vlasuk, M. P. 1972 Minsk. Paper, no. 1–810 (trans. from Russian into French by M. A. Combarnous, private communication).
Wooding, R. A. 1956 J. Fluid Mech. 2, 273.