Study the Soret effects on Bioconvective induced magneto-hydrodynamics flow in presence of multiple slip and thermal radiation

Abstract

The study deals with the bio-convective induced magneto-hydrodynamics (MHD) flow of non-Newtonian fluids with the simultaneous effect of multiple slips, heat source/sink, and linear thermal radiation, along with the Soret effect. The novelty of the present study is to analyze the impact of linear thermal radiation, bio-convection Lewis number and Soret parameter on velocity, induced magnetic field, and concentration. For this the flow for Maxwell and Casson fluids were considered and discussed separately, whereas a single governing momentum conservation equation was constructed by combining these two flow models. The governing equations were transformed by using similarity transformation. The transformed equation was solved by using MATLAB “BVP4C” solver. The transformation contributed various parameters such as the Soret parameter, Bioconvective Lewis number, Peclet Number, Radiation parameter, and Schmidt number. The effect of such parameters on momentum, induced magnetic field (i.m.f), temperature, and concentration were studied. The results depicted that the rise in the value of Nr, the temperature of the fluid were increased. However, the concentration of the microorganism declined with the rising value of chemical reaction parameter in both the Maxwell and Casson fluid. The observation also revealed that the velocity optimizes with the rising value of Sr, due to the hike in the concentration of the fluid.