Modeling of Gyrotactic Microorganisms Non-Newtonian Nanofluids Due to Free Convection Flow Past a Vertical Porous Truncated Cone

摘要

The present analysis aims to address the nature bioconvection heat transfer over a truncated cone. The cone has a constant apex half angle immersed in a gyrotactic microorganisms non-Newtonian nanofluid porous medium. So as to examine the impact of available non-Newtonian viscosity and to scrutinize the present approach, the power law paradigm for shear thinning fluids (pseudo-plastic) n 1 and in the limit for the Newtonian fluids n = 1 has been utilized. Impacts of Brownian motion and thermophoresis of the non-Newtonian nanofluid paradigm is considered. A convenient coordinate transformation is implemented, and the set of resulting non-similar equations have been solved numerically considering the cubic spline collocation method. The impact of the power-law index, Brownian motion, thermophoresis, buoyancy ratio and bioconvection parameters on the rescaled temperature, nanoparticle volume fraction, velocity and density of motile microorganisms profiles are debated. It has been detected that nanofluid and bioconvection parameters have major impacts on heat, nanoparticle volume fraction and density transport rate. A comparative study was obtained for a special case and it is detected to be in very good agreement with previous published data.