Bioconvection: Significance of mixed convection and mhd on dynamics of Casson nanofluid in the stagnation point of rotating sphere via finite element simulation

Abstract Enhanced thermal transportation for bio convection and mixed convection of Casson nano fluid flow in stagnation region of rotating sphere is scrutinized in the existence of magnetic field. The bioconvection of nano fluid transportation across spherical surface is considered important for heat storage and thermal balancing in technological processes. To enhanced heat transportation, the gyrotactic microorganisms are used with nano sized particles to improve stability. In this communication, time dependent partial differential formulation is transmuted to a set of dimensionless partial differential equation via similarity transformation. A numerical solution is sought through Glarikan based finite element discretization while it is coded and run on Matlab platform. The role of variables for the dependent quantities is monitored through computational procedure. The parameters of rotating sphere and Casson fluid speeded up the fluid flow in x-direction, but it recedes the flow in y-direction. The larger inputs of Brownian motion and thermo pharoses parameters raised the nano fluid temperature. The absolute value of Nusselt number is up-surged with enhanced buoyancy and rotation but is diminishes against parameters of Brownian motion, bio convection, and Rayleigh number.