Vol.25, No.1, 2025, pp. 53–59
https://doi.org/10.69644/ivk-2025-01-0053 

EFFECT OF MAGNETIC FIELD ON THERMAL INSTABILITY IN A POROUS MEDIUM LAYER SATURATED BY A JEFFREY NANOFLUID USING BRINKMAN MODEL: FREE-FREE, RIGID-RIGID, RIGID-FREE BOUNDARY CONDITIONS

Pushap Lata Sharma , Praveen Lata*, Ajit Kumar

1) Department of Mathematics & Statistics, Himachal Pradesh University, Summer Hill, Shimla-171005, INDIA

P.L. Sharma https://orcid.org/0000-0001-5848-9214 ; A. Kumar https://orcid.org/0000-0002-5888-3761

*email: praveenlata5@gmail.com

 

Abstract

In this paper, we have used the Darcy-Brinkman model to study the influence of a magnetic field on a Jeffrey nanofluid layer saturated with a porous medium. The influence of thermophoresis and Brownian motion is incorporated into the Buongiorno model used for nanoparticles. Normal mode analysis and Galerkin method are used to analyse conservation equations. We have considered three different boundary conditions: free-free, rigid-rigid, and rigid-free. For stationary convection, the effects of Darcy-Brinkman number, Jeffrey parameter, nanoparticle Rayleigh number, Lewis number, porosity, modified diffusivity ratio and Chandrasekhar number for all the above-mentioned boundary conditions are investigated analytically and graphically.

Keywords: • Jeffrey nanofluid • thermal instability • Brownian motion • Brinkman model 

full article (1.22 MB)