The definition of the "Lorentz Force" comes from applying electrical and magnetic fields straight to fluid direction. This force is an elemental factor for magnetohydrodynamic pumps. Based on energy and linear momentum conservation laws, we can derive the governing equations for our problem. Accordingly, MHD pump performance is impacted with any small fluctuation in electrically conducting fluid and current density in blood carrying arteries. After implementing constant and transient electromagnetic pulse fields, we were interested to employ finite element approach to study velocity profile and temperature distribution of the flowing blood. The novelty of this work is considering the edge effect, which was not considered in any other previous works. Results show that transient electromagnetic fields with stronger pulses increase the fluid velocity with lower fluctuations in various temperatures. Through defining an allowable criterion for temperature range, these results will be extensively applicable in drug delivery and other biomedical engineering applications.