Convection in a porous medium with variable internal heat source and variable gravity

被引：22

作者：

Mahabaleshwar, U. S. ^{[1
]}

Basavaraja, D. ^{[2
]}

Wang, Shaowei ^{[3
]}

Lorenzini, Giulio ^{[4
]}

Lorenzini, Enrico ^{[5
]}

机构：

[1] Govt First Grade Coll Women, Dept Math, Hassan 573201, India

[2] Govt First Grade Coll, Dept Math, Harihara 577601, India

[3] Shandong Univ, Sch Civil Engn, Dept Engn Mech, Jinan 250061, Peoples R China

[4] Univ Parma, Dept Engn & Architecture, Parco Area Sci,181-A, I-43124 Parma, Italy

[5] Alma Mater Studiorum Univ Bologna, Viale Risorgimento 2, I-40136 Bologna, Italy

来源：

INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER | 2017年 / 111卷

关键词：

Convection; Porous medium; Variable gravity and variable internal heat source; Linear stability analysis; Rayleigh number; Prandtl number; Galerkin method; Eigenvalue; STABILITY; FLUID; INSTABILITY; MODULATION; ONSET;

D O I：

10.1016/j.ijheatmasstransfer.2017.04.030

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

The qualitative effect of variable internal heat source and variable gravity on the onset of convection in a horizontal fluid saturated sparsely packed porous layer is investigated using linear stability analysis. The single term Galerldn technique is used to compute the value of the critical Rayleigh number and the corresponding wave number. Three different sets of variable gravity and heat source functions are chosen and their influence on the onset of convection is discussed. The eigenvalues are obtained for free-free velocity boundary conditions with isothermal temperature conditions on the boundaries. The influence of porous parameter on the onset of convection is brought out. It is found that the variable heat source and variable gravity does not affect the shape and size of the convective cell at the onset of convection. However the porous parameter do so. (C) 2017 Elsevier Ltd. All rights reserved.

引用

页码：651 / 656

页数：6

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