Tangent hyperbolic nanofluid: Significance of Lorentz and buoyancy forces on dynamics of bioconvection flow of rotating sphere via finite element simulation

Enhanced thermal transportation for bio convection and mixed convection of Tangent hyperbolic nano fluid flow in stagnation region of rotating sphere is scrutinized in the existence of magnetic field. The nano-sized tiny particles are incorporated due to their unusual qualities like enhanced the thermal transport in the base fluid, which play significance role in modern nanotechnology. Further, improve the stability of nano-sized particles for long time period and avoid possible sedimentation, also incorporated auto-motile and gyrotactic microorganisms. The bioconvection of nano fluid transportation across spherical surface is considered important for heat storage and thermal balancing in technological processes. 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 Galerkin 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 thermophoresis parameters raised the nano fluid temperature.