This study focuses on the analytical solution for the chemical reaction and melting heat transfer effects on MHD steady two-dimensional laminar viscous incompressible radiating boundary layer flow over a flat plate in the presence of variable fluid properties and Soret effect. The presence of viscous dissipation is also put into consideration at the plate under the influence of uniform transverse magnetic field. A mathematical model is developed to investigate the heat transfer characteristics occurring during the melting process due to a stretching sheet. The model contains nonlinear coupled partial differential equations which have been transformed into a system of ordinary differential equation via suitable similarity variables and then solved analytically by employing the Homotopy analysis method (HAM). The convergence of the series solution is established. The impact of various controlling parameters on the flow, heat and mass transfer characteristics are analyzed and discussed in detail through graphs and tables. The velocity and temperature depreciate with increase in radiation parameter and variable viscosity parameter. It is observed that for rising values of magnetic field parameter, variable viscosity parameter, and Prandtl number, the local skin friction increases while a reverse effect is seen in the case of Grashof number and melting parameter. It is found that the temperature decreases as the thermal radiation and melting parameter increase.

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This study extends previous investigation on ohmic heating of magnetohydrodynamic viscous fluid flow over a continuous moving plate to include radiative heat-loss, viscous dissipation and buoyancy effects. The mathematical formulation representing the modified physical model involves a system of three partial differential equations, which are transformed into a system of two coupled non-linear ordinary differential equations using suitable dimensionless variables. Thereafter, the resulting dimensionless system of equations governing modified model are solved via Homotopy Analysis Method (HAM). The accuracy and convergence of solutions are validated by comparing the results obtained with those in literature and they are in good agreement. Parametric study is performed to illustrate the effects of emerging parameters on fluid velocity and temperature, skin friction coefficient and Nusselt number. It is found that the impacts of pertinent parameters due to the extensions are significant and these are presented in graphs and tables. The results indicate that the skin friction coefficient and the heat transfer rate increase with the increasing values of thermal radiation and decrease with the increasing value of viscous dissipation parameter.

In this article, the effects of thermo-physical parameters on free convective flow of a chemically reactive power law fluid driven by exothermal plate is studied. The effect of thermal radiation on the fluid flow is investigated. Also, an exothermal surface reaction modeled by Arrhenius kinetics supplied heat to the power law fluid. Suitable similarity transformations are used to transform the non-linear partial differential equations into system of non-linear coupled ordinary differential equations. The obtained coupled non-linear ordinary differential equations are then solved numerically via fourthorder Runge-Kutta Fehlberg method. A parametric study is performed to illustrate the influence of thermal conductivity parameter, Grashof number, power-law index, velocity exponent parameter, Prandtl number, heat generation parameter, magnetic parameter, Eckert number, radiation parameter, Frank-Kamenetskii parameter, activation energy parameter, Brinkman number, reactant consumption parameter, and suction parameter on the fluid velocity and temperature profiles within the boundary layer. Numerical values of different controlling parameters for local skin friction coefficient and local Nusselt number are obtained and discussed. Comparison of the present work with existing literature was carried out and the results are in excellent agreement. The results also shows that skin friction coefficient decreases with increase in Eckert number, while the rate of heat transfer is enhanced at the surface of the plate as the Eckert number increase.

The focus of the present study is to examine chemical reaction and Joule heating effects on steady flow of a viscous radiating fluid in a porous medium under the influence of variable viscosity. The fluid viscosity is assumed to vary exponentially with temperature. The governing equations of ow, heat and mass transfer are transformed into ordinary differential equations using appropriate similarity transformations. The converted ordinary differential equations are then solved numerically by using fourth order Runge-Kutta Fehlberg method. The effects of different pertinent parameters on the flow, heat and mass transfer characteristic are analyzed and discussed in detail through graphs and table. It is observed that larger values of variable viscosity parameter depreciates the fluid velocity.