Pulsatile flow of blood under the influence of externally imposed magnetic field and periodic body acceleration through a multistenosed artery is studied. In this problem a Mathematical model is developed by treating blood as a non Newtonian fluid. The pulsatile is analyzed by considering a periodic pressure gradient which is a function of time. In this analysis we try to find the computational result by using the Perturbution analysis, assuming that the Womersely frequency parameter is very small. Variation of mean flow rate against Reynolds number for wave number and back pressure, Variation of mean flow rate against amplitude ratio for Reynolds numbers and back pressure and Velocity profiles along a vertical line in a time period have been discussed with the help of graphs.