The current research work proposes two-dimensional computational model using immersed boundary method to simulate biomagnetic fluid flow in a channel with a rigid filament. The fluid flow in the channel under an applied magnetic field is investigated for two orientations of rigid stationary filament (straight and inclined) using the model. By varying Reynolds number (Re) and magnetic number (Mn), we observed the emergence of multiple recirculation zones resulting from the combined influence of flow, magnetic field, and filament. These findings can provide valuable insights into the behaviour of biomagnetic fluid flow under magnetic field in the presence of immersed structures.