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.
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.
This numerical work deals with the problem of Magnetohydrodynamics (MHD) flow of a doubly stratified Buongiorno’s nanofluid along a permeable vertical flat plate. The resultant dimensionless system of coupled non-linear differential equations is solved numerically by utilizing Pseudo Spectral Collocation Method with Local Linearization Technique. For diverse values of the flow influenced parameters, the fluid flow, heat and mass transfer characteristics are explored and shown graphically. The presence of both parameters strongly influences the convective heat and mass transport in the nanofluid medium.
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