This article analyzes the Joule heating effect on the viscous fluid flow over a porous sheet stretching exponentially by employing convective boundary condition. The numerical solutions to the governing equations are obtained using a local similarity and non-similarity approach together with a successive linearization procedure and a Chebyshev collocation method. The influence of the slip parameter, suction/injection parameter, magnetic parameter, Joule heating parameter and Biot number on the velocity, temperature, concentration, skin friction, rate of heat transfer and rate of mass transfer is displayed in graphs. The velocity is found to decay for higher estimation of magnetic parameter, while a thermal field is enhanced for higher Joule heating and Biot number. It is also observed from the investigation that the rate of heat transfer reduces with Joule heating and enhances with increasing Biot number.

This article analyses the influence of viscous dissipation and thermoporesis effects on the viscous fluid flow over a porous sheet stretching exponentially by applying convective boundary condition. The numerical solutions to the governing equations are evaluated using a local similarity and non-similarity approach along with a successive linearisation procedure and Chebyshev collocation method. The influence of the pertinent parameters on the physical quantities are displayed through graphs.

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Numerical solutions for the boundary layer flow, heat and mass transfer of a viscous incompressible fluid over an exponentially stretching sheet is developed. The effect of Hall current, chemical reaction and thermal radiation are taken into account. Through similarity transformations, the governing boundary layer equations are reduced to a set of coupled non-linear ordinary differential equations and then linearized using the successive linearization method. The resultant linear system is solved using the Chebyshev pseudo spectral method. The numerical results for velocity, temperature and concentration are shown graphically. The skin-frictions are calculated and variations with pertinent parameters are presented in tabular form. Finally, a comparative analysis is conducted between the present results and known results in the literature for the special cases, and are found to be in good agreement.

The aim of the present paper is to study the influence of Hall current and Joule heating on flow, heat and mass transfer over an exponentially stretching sheet in a viscous fluid. Using similarity transformations the governing nonlinear coupled equations are converted into ordinary differential equations. These equations are linearized using the successive linearization method and then solved using the Chebyshev pseudo spectral method. The influence of magnetic parameter, Hall parameter, suction/injection parameter and slip parameter on the physical quantities are presented graphically. The obtained results are compared with the previously published results for special cases.