Vol.25, No.3, 2025, pp. 453–460
https://doi.org/10.69644/ivk-2025-03-0453

EFFECT OF MAGNETIC FIELD ON THE ONSET OF CONVECTION IN A ROTATING JEFFREY NANOFLUID USING THE BRINKMAN MODEL FOR FREE-FREE, RIGID-RIGID AND RIGID-FREE BOUNDARY CONDITIONS

Pushap Lata Sharma , Ajit Kumar , Praveen Lata*, Vinod Kumar

Department of Mathematics and Statistics, Himachal Pradesh University, Summer Hill, Shimla, INDIA

*email: praveenlata5@gmail.com  P. Lata Sharma https://orcid.org/0000-0001-5848-9214 ;

A. Kumar https://orcid.org/0000-0002-5888-3761

 

Abstract

This paper investigates the impact of rotation and magnetic field on a Jeffrey nanofluid flow in a porous medium heated from below. We use the Brinkman model for the porous medium. In the Jeffrey nanofluid, the impacts of thermophoresis and Brownian motion are considered. Three boundary conditions - free-free, rigid-rigid, and rigid-free are investigated for stationary convection. The effects of the Darcy Brinkman number, porosity, Jeffrey parameter, Lewis number, nanoparticle Rayleigh number, modified diffusivity ratio, Chandrasekhar number, and Taylor number for all the above-mentioned boundary conditions are investigated analytically and graphically. The outcomes of the magnetic field are examined with consideration to how it can change the flow and heat transfer through the porous medium. In addition, here the system is considered to gain a better understanding of the connection between magnetic field effects and rotation on thermal instability.

Keywords: • Brownian motion • magnetic field • nanofluids • porous medium

full article (1.33 MB)