Peristaltic Blood Transport in Non-Newtonian Fluid Confined by Porous Soaked Tube: A Numerical Study Through Galerkin Finite Element Technique

This novel investigation suggests the implementation of famous numerical technique namely Galerkin finite element technique for peristaltic study of non-Newtonian fluid confined by a porous tube. The rheological consequences for non-Newtonian materials are executed by using micropolar fluid. The problem is modeled in form of Navier–Stokes expressions. The flow simulations are carried by utilizing the impact of the magnetic field and uniform porous medium. Additionally, the role of inertial forces is also observed as a novelty for current analysis. Unlike typical investigations, the presumptions of lubrication theory are not implemented in the modeling which allows the participation of inertial forces in the governing equations and provided the results independent of wavelength. The solution of the modeled set of coupled non-linear partial differential equations is obtained by Galerkin finite element method with quadratic triangular elements. The verification of attained numerical results with available literature for low Reynolds number approximation is also presented and found in excellent agreement. It is observed that the peristaltic mixing enhances with increasing the inertial and Lorentz force while reverse observations are noticed with for the dense porous medium. An increase in pressure rise per wavelength is observed for micropolar fluid as compared to that of viscous fluid. It is further claimed that the peristaltic mixing is improved with increasing the Reynolds number and permeability of porous medium.