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

被引:41
|
作者
Lin, G
Zhao, CB
Hobbs, BE
Ord, A
Mühlhaus, HB
机构
[1] CSIRO, Div Explorat & Mining, Bentley, WA 6151, Australia
[2] Chinese Acad Sci, Changsha Inst Geotecton, Changsha, Peoples R China
来源
关键词
exact analytical solution; convective stability; horizontal layer; porous medium; temperature-dependent viscosity; finite-element analysis;
D O I
10.1002/cnm.620
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
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. Copyright (C) 2003 John Wiley Sons, Ltd.
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页码:787 / 799
页数:13
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