Thermal Instability of Visco-Elastic Rivlin-Ericksen Nanofluid Layer under the Effect of Magnetic Field

Deepak Kapil, Sudhir Kumar Pundir, Rimple Pundir

Abstract: The numerical and graphical study on magnetic field impression on thermal instability of visco-elastic Rivlin-Ericksen nanofluid layer has been carried out in this paper. The influence of physical parameters as Lewis number, modified diffusivity ratio number, nano particle Rayleigh number, and magnetic field studied analytically on the stationary deportation. A number of theorems established, which satisfying the conditions for stability or instability. The Lewis number, modified diffusivity ratio number, nano particle Rayleigh number are found to have destabilizing influence and magnetic field has stabilizing influence on stationary convection of fluid layer.

Keywords: Rivlin-Ericksen nanofluid, Lewis number, magnetic field, thermal impermanence, nano particle Rayleigh number