A mathematical theorem on the onset of Couple-Stress fluid permeated with suspended dust particles saturating a porous medium

被引：4

作者：

Rana, G. C. ^{[1
]}

Thakur, R. C. ^{[2
]}

机构：

[1] NSCBM Govt PG Coll, Dept Math, Hamirpur 177005, Himachal Prades, India

[2] Govt PG Coll, Dept Math, Dhaliara 177103, Himachal Prades, India

来源：

INTERNATIONAL JOURNAL OF MULTIPHYSICS | 2012年 / 6卷 / 01期

关键词：

Couple-Stress fluid; Porous medium; Suspended particles; Thermal convection;

D O I：

10.1260/1750-9548.6.1.61

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

In this paper, the effect of suspended particles on thermal convection in Couple-Stress fluid saturating a porous medium is considered. By applying linear stability theory and normal mode analysis method, a mathematical theorem is derived which states that the viscoelastic thermal convection at marginal state, cannot manifest as stationary convection if the thermal Rayleigh number R, the medium permeability parameter P-l, the couple-stress parameter F and suspended particles parameter B, satisfy the inequality R <= 4 pi F-4/BPl.

引用

页码：61 / 72

页数：12

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