Rayleigh-Bénard convection in rotating Casson nanofluids with variable conductivity and viscosity parameters
摘要
This paper investigates Casson nanofluid convection under the influence of a Coriolis force, with viscosity and conductivity variation parameters using Darcy-Brinkman porous medium. The analysis is carried out using linear stability theory, normal mode technique and one term Galerkin type weighted residual method for various metallic and non-metallic nanoparticles. Present numerical results are compared with previously published results and fine agreements were noted for the considered values of parameters. Novelty of the present work lies in the fact that both the base-fluids (water, honey) for different porous phases (glass, limestone, sand) have been analyzed numerically for the first time and it is found that alumina-blood nanofluid with sand as porous medium has maximum conductivity variation and minimum is shown for glass saturated with alumina-water nanofluid. Top-heavy configuration of nanoparticles is found to lead to stationary mode of convection. The effect of Taylor number, Casson parameter, nanoparticle parameters, conductivity, and viscosity parameter is discussed numerically. It is observed that the stability of the system is affected by Casson parameter and conductivity variation parameter and has a destabilizing effect on the system while the rotation and viscosity parameter has stabilizing impact on blood as the system gets improved by rising values of both the parameters. As far as metallic and non-metallic nanoparticles are concerned in blood-based fluid; the stability pattern followed by metallic nanofluids is iron-blood > copper-blood > silver-blood > gold-blood and for non-metallic nanofluids is silica-blood > alumina-blood > titanium oxide-blood > copper oxide-blood.