Abstract

Objective: Casson nanofluids are used to investigate the effects of Magneto hydrodynamics (MHD), viscous dissipation, temperature and concentration on convective heat transfer flow through a stretching/shrinking vertical sheet. Method: The BVP4C method in MATLAB is used to obtain numerical solutions for solving the governing Ordinary Differential Equations (ODEs) by converting them into the governing Partial Differential Equations (PDEs) using similarity transformations. To examine the effects of pertinent variables, including the Magnetic parameter, the Brownian motion parameter, the Cassson fluid parameter, the chemical reaction constant, the Prandtl number, the concentration to thermal Buoyancy ratio, the microorganism to thermal Buoyancy ratio, the Lewis number, the bioconvection Peclet number, the bioconvection Lewis number, the local skin friction, the local Nusselt number, the local Sherwood number and the local density number of the motile microorganisms. Result: Quantitative data are plotted according to the bioconvection flow, temperature, concentration and velocity profiles. Conclusion: It is observed that this study helps to compare the variations in the chemical reactions of the MHD Casson nanofluid by using graphs.

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