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Special Topics & Reviews in Porous Media: An International Journal
ESCI SJR: 0.277 SNIP: 0.52 CiteScore™: 1.3

ISSN 印刷: 2151-4798
ISSN オンライン: 2151-562X

Special Topics & Reviews in Porous Media: An International Journal

DOI: 10.1615/SpecialTopicsRevPorousMedia.v5.i4.10
pages 277-286

THERMAL INSTABILITY IN A BRINKMAN POROUS MEDIUM SATURATED BY NANOFLUID WITH NO NANOPARTICLE FLUX ON BOUNDARIES

Ramesh Chand
Department of Mathematics, Government Degree College Sugh-Bhatoli, Himachal Pradesh, India
Gian C. Rana
Department of Mathematics, NSCBM Government College, Hamirpur-177005, Himachal Pradesh, India

要約

Thermal instability in a horizontal layer of nanofluid in a porous medium is investigated. Boundary conditions for nanoparticles volume fraction are taken to be zero flux. The Darcy-Brinkman model is used for the momentum equation. A linear stability analysis based on the normal mode technique is used to study the onset of instabilities of the nanofluid layer confined between two free-free boundaries. The thermal Rayleigh-Darcy number on the onset of stationary convection has been derived by using the Galerkin weighted residuals method. Oscillatory convection has been ruled out, because of the absence of opposing buoyancy forces. The influence of the Brinkman-Darcy number (10−3 − 10−1), porosity (10−3 − 10−1), Lewis number (102 − 103), modified diffusivity ratio (1 − 10), and nanoparticles Rayleigh number [(−102) − 10] on the stationary convection are investigated both analytically and graphically. It has been found that in case of stationary convection Brinkman-Darcy number, the Lewis number and modified diffusivity ratio have a stabilizing effect while the porosity has a destabilizing effect on the fluid layer.


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