A study of thermal convection in non-Newtonian fluids
A study of thermal convection in non-Newtonian fluids
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非牛顿流体中的热对流研究
DOI：
10.1017/s0022112078000014
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发表时间：
1978
影响因子：
3.7
通讯作者：
E. Parmentier
中科院分区：
文献类型：
--
作者：
E. Parmentier
本研究考虑非牛顿流体中的稳态有限振幅热对流。幂律指数n在1 ≤ n ≤ 9范围内的假塑性（幂律）流体。在水平无限大的流体层中，从下面加热，获得二维周期性对流模式的差分解。结果表明，当n [lsim ] 3时，对流运动模式与常粘流体中的对流运动模式仅略有不同，而当n [gsim] 3时，对流运动模式与常粘流体中的对流运动模式有显著差异。平均粘度的引入，它提供了一个很好的相关性的传热层与瑞利数为n考虑的完整范围。
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.