Influence of Bioconvection and Thermal Radiation on MHD Williamson Nano Casson Fluid Flow with the Swimming of Gyrotactic Microorganisms Due to Porous Stretching Sheet

Abstract

An analysis is performed for electrical MHD flow of Williamson Nano Casson fluid with heat transfer. The fluid is positioned toward a porous stretching sheet along with mass flux. The impact of chemical diffusion and nonlinear thermal Radiation are further discussed. A highly nonlinear partial differential equations presenting the Williamson Nano Casson fluid flow over permeable extending plate is transformed to ordinary differential equations through appropriate similarity transformation and solved them with a shooting method-using package ND-Solve on Mathematica. The ascendency of arising physical interpretation of thermo-physical parameter on energy field, highly concentration field and density field are perceived. The valuations are achieved graphically for numerous protuberant terms like non Newtonian Williamson parameter, bio convection, Peclet number, mixed convection Hartman number, Casson parameter, thermophoresis diffusion, bio convection Rayeigh number, Brownian motion and mixed convection terms. These diverse terms are applied on dimensionless velocity function, concentration function, temperature function and density of the motile microorganism and analyzed numerically in detail. It is detected that through rising the value of bio-convection and Peclet number, the microorganism field diminishing. Graphical diagrams are illustrating the consistency of the latest outcomes.