Development of bioconvection flow of nanomaterial with melting effects

Abstract

Here magnetohydrodynamic (MHD) bio-convective flow of nanomaterial due to stretched sheet is examined. Melting effects in the presence of motile gyrotactic microorganisms are addressed. Further effects of nonlinear radiation, Brownian motion, Joule heating and thermophoresis diffusion are considered in energy equation. Related expressions are transmitted into dimensionless differential system through appropriate variables. Homotopy analysis method is employed for solutions of nonlinear system. Convergence region of solutions are examined. Entropy optimization, Bejan number and other engineering quantities like Nusselt number, surface drag force, Sherwood and microorganism density numbers are elaborated. Graphical results showing the influence of various emerging parameters on microorganism concentration, fluid velocity, concentration and on temperature distribution are presented. Velocity intensifies with increasing in melting while it decays against magnetic parameter. An enhancement in temperature is noted against higher Brownian motion and Prandtl number while it decays for higher radiation and melting variables. Concentration decays against higher melting parameter while it enhances against higher Brownian motion parameter. Microorganism field increases with Peclet number while it decays against higher melting and bio-convection Lewis number.