A time independent boundary layer flow through a porous medium has been studied with energy dissipation and transverse magnetic field. The constitutive equation of the fluid flow is based on power law fluid flow. Body forces generated in the fluid flow are Lorentz force, Buoyancy and Darcy's force. Surface of the porous medium is characterized by velocity and thermal slip factors. In the mathematical analysis, we have used similarity transformation (for conversion of partial differential equations into ordinary) and MATLAB built in bvp4c solver method. Effects of various flow parameters are represented by the graphs and effort has been made to discuss the results.

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This paper deals with the analysis of unsteady flow and heat transfer of second-order fluid with fluid-particle suspension in a vertical channel in the presence of transverse magnetic field with viscous dissipation. The fluid is driven by a constant pressure gradient. The governing partial differential equations are converted in to ordinary differential equation by similarity transformation and solved analytically. The expressions for velocity, temperature, skin friction and heat transfer are obtained. The numerical results depicting the effects of visco-elasticity in combination with other flow parameters involved in the problem are presented graphically and discussed qualitatively.

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