Magnetohydrodynamics bio-convection flow at Casson fluid stagnation point in porous medium:Cross-diffusion effect and heat production

This study examines the effect of heat production and radiation absorption on the magnetohydrodynamic Cassonfluidflow at the stagnation point in a porous medium.We convert the group offluidflow equations,which are non-linear partial differential equations with suitable boundary constraints,into a set of non-linear ordinary differential equations using similarity transformations.The homotopy analysis method(HAM)solves the converted system of ordinary differential equations.We draw graphs for numerous values of non-dimensional pa-rameters and tables of surface drag force,rates of heat transfer,and mass transfer to analyze the relationship between velocityfield,temperaturefield,concentrationfield,and other essential parameters involved in the study.We have proven that the Dufour number,radiation parameter,and heat generation parameter elevate thefluid temperature,whereas the magnetic parameter lowers it.The Cassonfluid parameter,buoyancy force parameter,and mixed convection param-eter all promotefluid movement throughout theflowfield.The presented tabular data allows us to see the trend of heat and mass transfer rates,as well as drag force rates,against important parameters,enhancing our understanding of these rates.

Effects of chemical reaction and heat generation/absorption on magnetohydrodynamic(MHD)Casson fluid flow over an exponentially accelerated vertical plate embedded in porous medium with ramped wall temperature and ramped surface concentration

This article studies effects of heat generation/absorption and chemical reaction on the unsteady magnetohydrodynamic(MHD)Casson fluid flow past over exponentially accelerated vertical plate embedded in porous medium.It is assumed that the bounding plate has ramped temperature with ramped surface concentration and isothermal temperature with ramped surface concentration.This phenomenon is modeled in the form of system of partial differential equations with initial and boundary conditions.The goveming dimensionless equations are solved using Laplace transfom technique and expressions for velocity,temperature and concentration profiles are obtained.Expressions for skin friction,Nusselt number and Sherwood number are also derived and represented in tabular form.Effect of pertinent parameters on velocity,temperature and concentration profiles are presented through graphically.

Heat and mass transfer in magnetohydrodynamic(MHD)Casson fluid flow past over an oscillating vertical plate embedded in porous medium with ramped wall temperature

The present paper is concerned with the study of flow,heat and mass transfer characteristics in the unsteady natural convective magneto hydrodynamics Casson fluid flow past over an oscillating vertical plate.The governing partial differential equations are solved analytically using Laplace transform technique and numerically using Matlab software.Expressions of skin friction,Nusselt number and Sherwood number are obtained.The features of the fluid flow,heat and mass transfer characteristics are analyzed by plotting graphs and the physical aspects are discussed in detail.