LAUSR

Received: 25 July 2018 Accepted: 20 August 2019 The present article highlights the impact of variable fluid property for MHD viscous fluid flow containing gyrotactic microorganisms over a permeable stretching sheet. It also considers the variable Prandtl number, variable Schmidt number of mass, variable Schmidt number of gyrotactic microorganisms. It also examined the first and second order velocity slip, temperature jump, concentration slip, microorganism slip, porosity medium, non-liner radiation and non-linear chemical reaction. By using suitable transformation, the governing PDEs corresponding to the momentum, energy, mass and microorganism equations are converted into non-linear coupled ODEs and solved numerically by using R-K 4th order with shooting technique. The effects of physical parameters on the velocity, heat, mass and microorganism are analyzed with the help of graphs and tables.