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...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.展开更多
文摘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.