Investigate the analytical solution of steady and unsteady fluid between parallel plates in the presence of inclined magnetic field. The flow is assumed to be laminar, incompressible and viscous. The Navier-Stokes is assumed for the viscous flow and magnetic effects are considered. An analytical solution has been obtained using the similarity transformation method, the solution deals with increasing fluid flow with inclined magnetic field force which helps to the fluid velocity obtained in terms of Hartmann number. Magneto hydrodynamic channel flow uses of industries in Engineering and Technology, including MHD power generators, petroleum industry, polymer technology. Analyzed computationally with the governing partial differential equations relating to the momentum and energy equations are transformed into ordinary differential equations using similarity transformations which deals fluid's pressure distribution and axial and transverse velocities. The flow and heat transfer characteristics for various values of the governing factors, such as the heat source parameter, Hartmann number and Prandtl number are investigated in the presence of a heat source and magnetic field.

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