An analytical estimate of the flow-field in a porous stenotic artery subject to body acceleration

The paper deals with a theoretical study of the dow-held in a porous stenotic artery when it is subjected to a single cycle of body acceleration using an appropriate mathematical model. The simulated artery is taken as an isotropic elastic tube containing a viscous incompressible fluid representing the flowing blood. The shape of the stenosis in the arterial lumen is chosen to be irregular in order to improve resemblance to the in-vivo situation. Instead of having a constant seepage rate along the axis of the artery, the wall deformability has been accounted for so that the hydraulic membrane permeability is treated to be contained in the wall velocity. The equations governing the motion of the system are solved analytically in both the steady and the unsteady states with the use of the appropriate boundary conditions. Numerical computations have finally been performed in order to have a thorough quantitative measure of the effects of body acceleration and the hydraulic membrane permeability on the Row velocity, the flux, the resistive impedances and the wall shear stress just to validate the applicability of the present mathematical model. (C) 1998 Elsevier Science Ltd. All rights reserved.