Theoretical and numerical analyses of convective instability in porous media with temperature-dependent viscosity

Ge Lin, Chongbin Zhao, B. E. Hobbs, A. Ord, H. B. Mühlhaus

Research output: Contribution to journalArticle

47 Citations (Scopus)

Abstract

Exact analytical solutions of the critical Rayleigh numbers have been obtained for a hydrothermal system consisting of a horizontal porous layer with temperature-dependent viscosity. The boundary conditions considered are constant temperature and zero vertical Darcy velocity at both the top and bottom of the layer. Not only can the derived analytical solutions be readily used to examine the effect of the temperature-dependent viscosity on the temperature-gradient driven convective flow, but also they can be used to validate the numerical methods such as the finite-element method and finite-difference method for dealing with the same kind of problem. The related analytical and numerical results demonstrated that the temperature-dependent viscosity destabilizes the temperature-gradient driven convective flow and therefore, may affect the ore body formation and mineralization in the upper crust of the Earth. cr 2003 John Wiley and Sons, Ltd.

Original languageEnglish
Pages (from-to)787-799
Number of pages13
JournalCommunications in Numerical Methods in Engineering
Volume19
Issue number10
DOIs
Publication statusPublished - 1 Oct 2003
Externally publishedYes

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