Simulations of unsteady blood flow through curved stenosed channel with effects of entropy generations and magneto-hydrodynamics

摘要

This research study explores the effects of entropy generations on the pulsatile blood flow through a w-shape curved stenosed channel. The mathematical formulations of this physical problem are derived from the couple equations of momentum and energy. These equations are first normalized, and then solved numerically using the explicit finite difference technique. Subsequently, the solutions of these equations are utilized in the calculation of the Bejan number (Be) and entropy generations (N_G). To simplify this problem, a few assumptions are taken into consideration; for instance, a mild stenotic condition is assumed in order to reduce the order of differential equations. The results are based on various velocity graphs sketched under the influence of the curvature (R_C) and magnetic (M) parameters. The magnitude of velocity as well as streamline profiles are highly affected due to the curvature effects of channel wall. The results demonstrate that the value of Bejan (Be) number is highly influenced by increasing the value of curvature parameter (R_C) as depicted in the graphs. Similarly, the shape of velocity profile reduces to symmetric in the unbent vessel. Moreover, it is also observed that the magnitude of velocity has decelerated in the presence of magnetic field.