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

Lin, G, Zhao, CB, Hobbs, BE, Ord, A and Muhlhaus, HB (2003) Theoretical and numerical analyses of convective instability in porous media with temperature-dependent viscosity. Communications In Numerical Methods In Engineering, 19 10: 787-799. doi:10.1002/cnm.620


Author Lin, G
Zhao, CB
Hobbs, BE
Ord, A
Muhlhaus, HB
Title Theoretical and numerical analyses of convective instability in porous media with temperature-dependent viscosity
Journal name Communications In Numerical Methods In Engineering   Check publisher's open access policy
ISSN 1069-8299
Publication date 2003-01-01
Sub-type Article (original research)
DOI 10.1002/cnm.620
Open Access Status Not yet assessed
Volume 19
Issue 10
Start page 787
End page 799
Total pages 13
Place of publication Chichester
Publisher John Wiley & Sons Ltd
Language eng
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. Copyright (C) 2003 John Wiley Sons, Ltd.
Keyword Mathematics, Interdisciplinary Applications
Engineering, Multidisciplinary
Exact Analytical Solution
Convective Stability
Horizontal Layer
Porous Medium
Temperature-dependent Viscosity
Finite-element Analysis
Finite-element-analysis
Hydrothermal Systems
Heat-transfer
Rock Alteration
Pore-fluid
Mineralization
Throughflow
Transport
Basins
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collections: Excellence in Research Australia (ERA) - Collection
Earth Systems Science Computational Centre Publications
 
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Citation counts: TR Web of Science Citation Count  Cited 34 times in Thomson Reuters Web of Science Article | Citations
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Created: Mon, 13 Aug 2007, 23:54:01 EST