This article explores the significance of Soret, Joule heating and Hall effects on the free convection in an electrically conducting Casson fluid in a vertical channel in the presence of viscous dissipation. The dimensional equations which govern the flow are transformed into the dimensionless equations using suitable dimensionless variables and hence found the analytical solution by the Homotopy Analysis Method (HAM) and also compared with ADM solution. The non-dimensional heat and mass transfer rates and skin friction profiles against Casson fluid parameter are illustrated graphically with special focus on physical parameters involved in the present study.

This paper presents the nonsimilarity solutions for mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a doubly stratified fluid saturated porous medium in the presence of Soret and Dufour effects. The flow in the porous medium is described by employing the Darcy-Forchheimer based model. The nonlinear governing equations and their associated boundary conditions are initially cast into dimensionless forms and then solved numerically. The influence of pertinent parameters on dimensionless velocity, temperature, concentration, heat, and mass transfer in terms of the local Nusselt and Sherwood numbers is discussed and presented graphically.

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The significance of Soret, Hall and Ion-slip effects on mixed convection flow of an electrically conducting Casson fluid in a vertical channel in the presence of viscous dissipation is analyzed. The system of flow governing equations are converted into the system of non-dimensional equations using appropriate nondimensional transformations and hence solved analytically by homotopy analysis method. A quantitative comparison is made between homotopy analysis method and Adomian decomposition method and the results are found to be in good agreement. The dimensionless velocity, temperature and species concentration profiles are illustrated graphically and quantitatively with special focus on the Casson fluid, Soret, viscous dissipation, Hall and Ion-slip parameters.