Article [13] Unsteady Hydromagnetic Flow and Heat Transfer on a Continuously Moving Vertical Surface with Thermal Radiation Abstract: An analytical solution for unsteady hydromagnetic convection flow over a continuously vertical surface with time-varying suction is discussed. The system is stressed by uniform magnetic field with thermal radiation. A flow of this type represents a new class of boundary-layer flow at a surface of finite length. The solutions of the velocity and temperature distributions are obtained. These solutions are discussed numerically , the effects of the various parameters such that the radiation parameter , magnetic field parameter, Groshof number and Prandtl number are studied and shown graphically.The effects of above parameters on the skin friction are computed and tabulated.