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.
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页码：61 / 72
页数：12
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