[en] The effects of free convection currents and the viscous dissipation on the unsteady flow of an electrically conducting and viscous incompressible fluid around a uniformly accelerated vertical porous plate subjected to a suction or injection velocity inversely proportional to the square root of time in presence of a transverse magnetic field have been investigated. Analytical solutions for the velocity and the temperature distributions, the skin-friction and the rate of heat transfer are obtained for small magnetic parameter, M. During the course of discussion the effects of the Grashof number, Gr, the Eckert number, Ec, the suction/injection parameter, a, have been considered for unit value of the Prandtl number, Pr. (author)