Convective flow of ethylene glycol-silver Jeffery nanofluid in a Hele-Shaw cell with an influence of external magnetic field

Abstract

This effort investigates the arrival of magnetothermal convection of ethylene glycol-silver Jeffrey nanofluid in a Hele-Shaw cell utilizing the linear stability concept. The model practiced for the Jeffrey nanofluid includes the impacts of Brownian movement and thermophoresis. The norms for both marginal and overstable modes of convections are developed analytically. The impact of magnetic Chandrasekhar number (Figure presented.), magnetic Prandtl number (Figure presented.), Jeffrey parameter (Figure presented.), Hele-Shaw number (Figure presented.), and a variety of nanofluid parameters such as the volumetric fraction of nanoparticles (Figure presented.), nanoparticle Rayleigh number (Figure presented.), adjusted diffusive ratio (Figure presented.), and Lewis number (Figure presented.) on the beginning of convective motion are investigated, and results are illustrated graphically. It is observed that the overstable approach of convection is probable below the certain threshold estimate of the magnetic Prandtl number (Figure presented.). This threshold estimate of the magnetic Prandtl number (Figure presented.) upturns with a rise in the rate of (Figure presented.), (Figure presented.), and (Figure presented.), while it drops with a surge in the nanofluid parameters. The system was found to be more stable by decreasing the Hele-Shaw number (Figure presented.), the Jeffery parameter (Figure presented.), and nanofluid parameters, while it was unstable by decreasing the magnetic Chandrasekhar number (Figure presented.) and the magnetic Prandtl number (Figure presented.). © 2023 Curtin University and John Wiley & Sons Ltd.