Study of Magnetohydrodynamic Pulsatile Blood Flow through an Inclined Porous Cylindrical Tube with Generalized Time-Nonlocal Shear Stress

Abstract

The effects of pulsatile pressure gradient in the presence of a transverse magnetic field on unsteady blood flow through an inclined tapered cylindrical tube of porous medium are discussed in this article. The fractional calculus technique is used to provide a mathematical model of blood flow with fractional derivatives. The solution of the governing equations is found using integral transformations (Laplace and finite Hankel transforms). For the semianalytical solution, the inverse Laplace transform is found by means of Stehfest’s and Tzou’s algorithms. The numerical calculations were performed by using Mathcad software. The flow is significantly affected by Hartmann number, inclination angle, fractional parameter, permeability parameter, and pulsatile pressure gradient frequency, according to the findings. It is deduced that there exists a significant difference in the velocity of the flow at higher time when the magnitude of Reynolds number is small and large.

Heat transport in inclined flow towards a rotating disk under MHD

“…In the presence of nonlinear Rosseland thermal radiation, Qasim et al 31 studied the two-dimensional boundary layer flow of Jeffrey fluid across a radially extending disk and by lowering the variable viscosity ratio parameter, a reduction in fluid velocity and the thickness of the momentum boundary layer is observed. Shah et al 32 investigated the impact of pulsatile pressure gradient on irregular blood flow via an inclined tapering cylindrical tube of porous media in the presence of a transverse magnetic field. He noticed that there is a sizable variation between the flow’s velocities at later times when the Reynolds number is small and large.…”

Visco-Elastic Fluid Model in an Inclined Porous Stenosed Artery with Slip Effect and Body Acceleration

“…Jaafar et al [30] presented a mathematical study of flow with chemical reaction in a stenosed artery. Shah et al [31] examined the pulsatile MHD blood flow in a porous tube of cylindrical shape with an inclined angle having generalized time-nonlocal shear stress. Manisha et al [32] considered the blood flow model for various shapes of stenosis with the non-Newtonian power-law model.…”