In this paper Laminar MHD flow in the entrance region of a plane channel with dissipation under the influence of transverse magnetic field. The motion of laminar conducting fluid between two parallel plates is considered. The channel has height of 2a and a width of d. A rectangular coordinate system is placed on channel with the origin at the center of channel at the left hand edge. The flow problem is described by means of partial differential equations and solutions are obtained by the use of a finite difference technique. The velocity, temperature and pressure profiles are shown in graphs and their behaviour is discussed for the different values of magnetic field parameter M and Eckert Number Ek for fixed Prandtl Number Pr.
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