Numerical approach for enhanced mass transfer of Bio-convection on Magneto-hydrodynamic Carreau fluid flow through a nonlinear stretching surface

Abstract

The present study deals with an investigation of steady two dimensional flow of Carreau fluid covering both the motile microorganism and nanoparticles through a nonlinear stretching surface. The idea of microorganisms is implied just to stabilize suspended nanoparticles by convection. The governing PDEs (partial differentiable equations) are transform set of nonlinear ODEs (ordinary differentiable equations) using suitable similarity transformation. The higher order nonlinear differential equation is solved by using Runge-Kutta-Felhberg method with shooting technique. The performance of fluid microorganism density, concentration, temperature, velocity in different values of physical parameters are scrutinized. Here the numerical results are presented through graphs and tables. Numerical values of skin friction, local Nusselt, Sherwood and local density numbers are analyzed. This study is relevant to navel microorganisms using few technologies combining with the Nano fluid with Bio-convection.