Examinations of viscous dissipation, magnetic field and thermal radiation on the systematic flow of Casson fluid with gyrotactic microorganisms

Department of Mathematics and Statistics, Hassan Usman Katsina polytechnic, Katsina State, Nigeria

^* Corresponding author: abubakarusman847@gmail.com

Abstract

This research work is aimed at examining the significance of viscous dissipation, magnetic field alongside thermal radiation on the flow of Casson fluid. The fluid flow was considered in the presence of gyrotactic microorganisms and nanoparticles. The physics of the problem is governed with partial differential equations (PDEs). The set of PDEs are changed to ordinary differential equations (ODEs) by utilizing an appropriate similarity variables. To examine the pertinent flow parameters, a numerical approach called spectral relaxation method (SRM) was employed. This SRM approach employs the basic Gauss-seidel method to decouple and descritize the set of differential equations. The choice of this approach is due to its consistency and accuracy. The viscous dissipation parameter (Ec) was found to enhance fluid temperature, velocity and boundary layers (thermal and momentum boundary layer). The strong opposition of magnetic parameter give rise to lorenz force which drags the fluid flow within the boundary layer. The nanoparticles was found to bare great effect on the gyrotactic microorganisms.