Numerical and Analytical Study of Two-Layered Unsteady Blood Flow through Catheterized Artery

Abstract

The pulsatile flow of blood in a catheterized blood vessel is analyzed. The flow of blood in vessel is modeled as the flow of two immiscible fluids. The fluid in the core region is characterized as a non-Newtonian viscoelastic fluid satisfying the constitutive equation of an Oldroyd-B fluid. The fluid in the peripheral region is treated as a Newtonian fluid. The catheter inside the vessel is modeled as a rigid tube of very small radius. The resulting differential system for velocity in each region is computed numerically by finite-difference scheme and analytically by Laplace transform. A comparison of numerical solution with Laplace transform solution is carried out. Various physical quantities of interest through the computed velocity are also analyzed.

Heat transfer effects on the oscillatory MHD flow in a porous channel with two immiscible fluids

“…Pulsating flow problems in a channel or tube have captured a lot of attention recently because of their potential applications in engineering and biological systems (see [13,14,19,21,22,30,33]). Radhakrishnamacharya and Maiti [19] investigated thermal effects of Newtonian viscous flow in a porous channel with oscillatory pressure gradient.…”