MHD Boundary Layer Flow of Casson Fluid with Gyrotactic Microorganisms over Porous Linear Stretching Sheet and Heat Transfer Analysis with Viscous Dissipation

Abstract

A study associated with bioconvection flow and heat transfer analysis due to Casson fluid and gyrotactic microorganisms over a linear stretching sheet through a porous medium in the presence of magnetic field is considered. The related governing equations of the physical situation are deformed into a system of nonlinear ordinary differential equations using Oberbeck–Boussinesq approximations and similarity transformation .The obtained coupled equations are solved with the help of differential transform method to get Taylor’s series solutions for the momentum, energy, concentration of nanoparticles, and density of microorganisms. The combined effects of distinct nondimensional parameters on the solutions are represented through graphs.