Comparative study of two non-Newtonian fluids with bioconvective induced MHD flow in presence of multiple slips, heat source/sink and nonlinear thermal radiation

Abstract

The present manuscript deals with bioconvective induced magnetohydrodynamic (MHD) flow of non-Newtonian fluids with simultaneous effects of multiple slips, heat source/sink, and nonlinear thermal radiation. Flows of Maxwell and Casson fluids are considered separately, but a single governing momentum conservation equation is constructed by combining these two flow models. Transformed governing equations are solved by MATLAB solver ‘bvp4c’. The objective of the current study is to check the comparative behaviour of two non-Newtonian fluids viz., Maxwell and Casson in presence of induced MHD effect with the bioconvective phenomenon and slip effect. The main findings reveal the growth of velocity and fall of microorganisms’ motile density with induced magnetic number. With higher values of Peclet number and microorganism concentration difference parameter, the microbe's motile density significantly reduces. The temperature hike is witnessed with heat generation/absorption, thermal radiation, and temperature ratio parameters. Also, for a fixed set of values of parameters the Casson fluid velocity is more prominent than the Maxwell fluid velocity and the scenario is the opposite for the motile density of microorganisms. Velocity increases, whereas motile density decreases with raising the amount of magnetic Prandtl number. Casson fluids have more velocity than Maxwell fluids, whereas the movement of the motile density of microorganisms is showing prominency for Maxwell fluids. The magnitude of surface drag and surface cooling rate are at a higher level for Casson fluid in comparison with Maxwell fluid. The motile density number enhances with the microorganism concentration difference parameter and Peclet number.

Keywords

• Bioconvection
• Non-Newtonian fluids
• Induced MHD flow
• Multiple slips
• Heat source/sink
• Nonlinear thermal radiation