Effect of viscous dissipation and internal heat source on mono-diffusive thermoconvective stability in a horizontal porous medium layer

被引：0
作者：
Rafeek K.V.M. [1 ]
Reddy G.J. [1 ]
Matta A. [2 ]
Beg O.A. [3 ]
机构：
[1] Laboratory on Computational Fluid Dynamics, Department of Mathematics, Central University of Karnataka, Kalaburagi
[2] Department of Mathematics, Faculty of Science & Technology, The ICFAI Foundation for Higher Education, Hyderabad
[3] Multi-Physical Engineering Sciences, Aeronautical/Mechanical Engineering Department, School of Science, Engineering and Environment, Salford University, Manchester
来源：
Special Topics and Reviews in Porous Media | 2023年 / 14卷 / 01期
关键词：
critical wave number; eigenvalues; Gebhart number; horizontal porous layer; internal heat source; materials processing; thermo-convective instability; viscous dissipation;
D O I：
10.1615/SPECIALTOPICSREVPOROUSMEDIA.2022043848
中图分类号：
学科分类号：
摘要：
A mathematical model is developed for studying the onset of mono-diffusive convective fluid flow in a horizontal porous layer with temperature gradient, internal heat generation, and viscous dissipation effects. Darcy s model is used for the porous medium, which is considered to be isotropic and homogenous. A linear instability analysis is conducted, and transverse or longitudinal roll disturbances are examined. The dimensionless emerging eigenvalue problem is solved numerically with the Runge-Kutta and shooting methods for both cases of disturbances, i.e,. longitudinal and transverse rolls. Critical wave number and critical vertical thermal Rayleigh number Rz are identified. For higher values of Gebhart number, Ge, a significant destabilizing effect of Hadley Prats flow is computed. Internal heat generation also strongly modifies the critical vertical Rayleigh number. Extensive interpretation of the solutions related to the onset of convection is provided. The study is relevant to geophysical flows and materials processing systems. © 2023 Begell House Inc.. All rights reserved.
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页码：17 / 28
页数：11
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