CONVECTIVE INSTABILITY IN POROUS MEDIA WITH MAXIMUM DENSITY AND THROUGHFLOW EFFECTS BY FINITE-DIFFERENCE AND FINITE-ELEMENT METHODS
- 1 July 1979
- journal article
- research article
- Published by Taylor & Francis in Numerical Heat Transfer
- Vol. 2 (3) , 303-318
- https://doi.org/10.1080/10407787908913415
Abstract
Linear stability analysis for study of the connective instability of a horizontal liquid layer in a porous medium subjected to a temperature gradient is approached by both finite-difference and finite-element methods for the case with uniform vertical throughflow and maximum density effects. Numerical results for the critical Rayleigh number are presented for the thermal condition parameters − 3.5 < λ1 < − 0.5 and − 1.4 < λ2 < 1.4 with Peclet number Pe = 0, 0.5, 1, 5, and 10. The convergence and accuracy of the numerical solutions are assured by the excellent agreement of the critical Rayleigh numbers for the limiting cases with the known values.Keywords
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