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A study of thermal convection in non-Newtonian fluids

Published online by Cambridge University Press:  12 April 2006

E. M. Parmentier
E. M. Parmentier
Affiliation:
Department of Geological Sciences, Cornell University, Ithaca, New York 14850 Present address: Department of Geological Sciences, Brown University, Providence, Rhode Island 02912.
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Abstract

This study considers steady-state, finite amplitude thermal convection in a non-Newtonian fluid. Pseudoplastic (power-law) fluids are considered for a power-law exponent n in the range 1 ≤ n ≤ 9. Finite-difference solutions are obtained for two-dimensional periodic convective modes in a horizontally infinite fluid layer heated from below. The results show that the patterns of convective motions differ only slightly from those in a fluid of constant viscosity for n [lsim ] 3 while for n [gsim ] 3 significant differences are observed. An average viscosity is introduced which provides a good correlation of heat transfer across the layer with the Rayleigh number for the complete range of n considered.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 84 , Issue 1 , 16 January 1978 , pp. 1 - 11
Copyright
© 1978 Cambridge University Press

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