Magnetic fluid model for two-phase pulsatile flow of blood

A two-phase magnetic fluid model for pulsatile flow of blood has been investigated by using realistic input data (pressure gradient). Closed form analytic solutions have been obtained. It is observed that the existing analysis could be improved by including driving force profiles (this could help in detecting the numerical, algebraic or formulation error to some extent) and two types of velocity profiles. Further, a new nondimensional numberSN is introduced which can be used to control the flow and its behavior. It is possible to make the flow stable or unstable with a proper choice ofSN. This could be exploited for many interesting applications, e.g. in bloodless surgery, in designing magnetic band aids for first aid box (for snake bites and to stop the blood loss from injuries in accidents and wars).