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This paper investigates the influence of both viscous and joules dissipation on the problem of magneto-hydrodynamic flow past a stretching porous surface embedded in a porous medium for rotating case. Using similarity approach the system of partial differential equations is transformed into ordinary differential equations which strongly depend on the magnetic parameter, stretching parameter, rotation parameter, permeability parameter and Prandtl number. The coupled differential equations are numerically simulated using the Nactsheim-Swigert shooting technique together with Runge-Kutta six order iteration schemes. The velocity and temperature profiles are discussed and presented graphically. The comparisons for dimensionless skin friction coefficient and local Nusselt number are also taken into account and discussed and presented graphically.

Viscous dissipation changes the temperature distributions by playing a role like an energy source, which leads to affected heat transfer rates. The merit of the effect of viscous dissipation depends on whether the plate is being cooled or heated. Apart from the viscous dissipation in MHD flows, the Joules dissipation also acts as a volumetric heat source. Heat transfer analysis over porous surface is of much practical interest due to its abundant applications, such as, heat-treated materials traveling between a feed roll and wind-up roll, materials manufactured by extrusion, glass-fiber and paper production, cooling of metallic sheets, electronic chips and crystal growing. In view of all these aspects, Anjali Devi [

Two-dimensional, nonlinear, steady, MHD laminar boundary layer flow with heat and mass transfer of a viscous, incompressible and electrically conducting fluid over a porous surface embedded in a porous medium in the presence of a transverse magnetic field including viscous and Joules dissipation is considered for investigation. An uniform transverse magnetic field of strength

The boundary conditions are

Here u, v are components of velocity components in the

We introduce the following similarity transformations are

where

The velocity components are given by

It can be easily verified that the continuity Equation (1) is identically satisfied and introduce the non-dimen- sional form of temperature and concentration as

Hence Equations (2)-(5) and boundary conditions (6) reduced to:

The corresponding boundary conditions are

where,

In

In

The effect of viscous and joules dissipation on MHD flow with heat and mass transfer past a stretching porous surface embedded in a porous medium is analyzed in the present study for rotating case. Increasing, decreasing and cross flows occur for the variation of different parameters.

Md. SharifUddin, (2015) Viscous and Joules Dissipation on MHD Flow past a Stretching Porous Surface Embedded in a Porous Medium. Journal of Applied Mathematics and Physics,03,1710-1725. doi: 10.4236/jamp.2015.312196