Novel Scientific Simulations (Finite Element Method) for Peristaltic Blood Flow in an Asymmetric Channel: Applications of Magnetic and Inertial Forces

Abstract

Background: Recently, an utmost attention has been devoted by researchers on the prestaltic movement of viscous flows due to its novel importance in daily life problems, human body and many physical systems. In era of biological systemns and health sciences, the prestaltic mechanism attribute impotant applications blood circulation in vessels, blood pumping in heart, food in esophagus etc. Moreover, the applications of novel Galerkin finite element scheme for solution of nonlinear partial differential equations associated with peristaltic flow problems is another challenging task for mathematicians. Owing to such motivativations in mind, this computational presents the magnetohydrodynamic peristaltic flow of viscous fluid at high Reynolds number induced by an asymmetric wall channel. The novel impact of magnetic force are also utilized as a novelty. Method: The equations which exploit the flow problem are numerically tackled with help of Galerkin finite element scheme. Results: The results are computed and show great validation for physical parameters like wave constants, amplitude ratio and Reynolds number. The validation of obtained results are worked out with already claimed data and achieved an excellent accuracy. The mechanisms of transport process is addressed in view of involved physical parameters namely wave constant, Reynolds number and Hartmann number. The graphical observations are successfully revealed for all parameters.