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 solution 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 and Prandtl number are studied and shown graphically. http://paperseek.sif.it/index.php?doi=10.1393/ncb/i2007-10348-0