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This article explores the numerical solution of mixed convection heat transfer in incompressible viscous fluid past a vertical porous plate with variable suction/injection considering Joule heating, Hall and Ion slip effects. The model for the flow in the porous medium is characterized by the Darcy-Forchheimer model. The governing equations are first transformed into a dimensionless form by the local similarity transformations and then solved numerically using the shooting method. The approach of a non- dimensional distance along the plate, which is varied between 0 and 1, is considered to analyze a characteristic feature of the present investigation, where similarity solutions cannot be obtained. The influence of pertinent parameters on the flow characteristics is analyzed and depicted graphically.

This article presents non-similarity solutions to study the influence of thermal and mass stratification on mixed convection over a vertical flat plate immersed in a Newtonian fluid saturated non-Darcy porous medium. The model for the flow in the porous medium is characterized by the Darcy-Forchheimer model. The governing equations are first transformed into a dimensionless form by the non-similar transformation and then solved numerically using the Keller-box method. The significance of thermal, mass stratification parameters and mixed convection parameter on dimensionless velocity, temperature, concentration, heat and mass transfer rates are presented graphically.

In this paper, the Soret and Dufour effects on the steady, laminar mixed convection heat and mass transfer along a semi-infinite vertical plate embedded in a non-Darcy porous medium saturated with micropolar fluid are studied. The governing partial differential equations are transformed into ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the flow, microrotation, heat and mass transfer characteristics are evaluated using Keller-box method. Numerical results are presented in the form of velocity, microrotation, temperature and concentration profiles within the boundary layer for different parameters entering into the analysis. Also the effects of the pertinent parameters on the local skin friction coefficient and rates of heat and mass transfer in terms of the local Nusselt and Sherwood numbers are also discussed.