The behavior of an incompressible steady thermal boundary layer flow past a permeable semi-infinite flat plate moving
in a free stream is discussed in this paper. In addition to the mass transfer from the plate (suction or injection), the viscous dissipation term is also included into the energy equation. The solutions of the transformed ordinary differential equations are obtained numerically using an implicit finite-difference method. The numerical results are given for the velocity and temperature fields as well as for the skin friction coefficient and the heat transfer (local Nusselt number) from the plate for various values of the suction/injection parameter, f0, ratio of the wall velocity to the free stream fluid velocity parameter, λ, Prandtl number, Pr and Eckert number, Ec. It is found that for all values of Ec considered, suction increase the heat transfer by decreasing the thermal
boundary layer thickness and the reverse happens for injection. As expected, increasing of Pr is to increase the local Nusselt number. It is also found that the boundary layer equations have non-unique (dual) solutions in some cases.