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

Rafeeq, MKV; Reddy, GJ; Matta, A; Beg, OA

Abstract

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 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

Citation

Rafeeq, M., Reddy, G., Matta, A., & Beg, O. (2023). Effect of viscous dissipation and internal heat source on mono-diffusive thermoconvective stability in a horizontal porous medium layer. Special Topics and Reviews in Porous Media - An International Journal, 14(1), 17-28. https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2022043848

• Journal Article Type: Article
• Acceptance Date: Sep 21, 2022
• Publication Date: Jan 1, 2023
• Deposit Date: Dec 15, 2022
• Publicly Available Date: Jan 2, 2024
• Journal: Special Topics & Reviews in Porous Media - An International Journal
• Print ISSN: 2151-4798
• Electronic ISSN: 2151-562X
• Publisher: Begell House
• Volume: 14
• Issue: 1
• Pages: 17-28
• DOI: https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2022043848
• Publisher URL: https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2022043848
• Additional Information: Additional Information : K V, M.R. et al. (2023) “Effect of viscous dissipation and internal heat source on mono-diffusive thermoconvective stability in a horizontal porous medium layer,” Special Topics & Reviews in Porous Media: An International Journal, pp. 17–28. Available at: https://doi.org/10.1615/specialtopicsrevporousmedia.2022043848.; Projects : CFD simulation of thermo-hydrodynamic stability in materials processing and energy systems