This research is the simulation of accumulation of magnetic nano-carriers within a 100 micron diameter microvessel. Important parameters are the weight fraction of ferromagnetic materials contained within the carrier and the distance between axis of permanent magnet and blood vessel.  The research consists of the construction of problem ̕ s mathematical models based on physics principles, the assignments of initial and boundary conditions and numerical simulation. The simulation results show the efficacy of using the magnetic field from an external source for increasing carriers density in microvessel and the time interval required for the accumulation of carriers to approach steady state.