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

Abstract

AbstractThis 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 , magnetic Prandtl number , Jeffrey parameter , Hele‐Shaw number , and a variety of nanofluid parameters such as the volumetric fraction of nanoparticles , nanoparticle Rayleigh number , adjusted diffusive ratio , and Lewis number 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 . This threshold estimate of the magnetic Prandtl number upturns with a rise in the rate of , , and , while it drops with a surge in the nanofluid parameters. The system was found to be more stable by decreasing the Hele‐Shaw number , the Jeffery parameter , and nanofluid parameters, while it was unstable by decreasing the magnetic Chandrasekhar number and the magnetic Prandtl number .