Fractional solution for the non-Newtonian MHD blood flow in porous artery
Fractional solution
Keywords:
Caputo-Fabrizio fractional derivative, unsteady pulsatile, Incompressible fluid.Abstract
In this paper, the third-grade non-Newtonian MHD blood flow in the porous arteries subjected to the periodic pressure gradient is analytically simulated with the rational order derivative. Motivated from the recent advancement in the fractional calculus non-linear governing equations are coupled with CF (Caputo-Fabrizio) time fractional order derivative with initial and boundary conditions. Analytical time fractional expressions for velocity is presented. Imposed body acceleration is also considered with Laplace and finite Hankel transforms.
