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In this study a mathematical model for two-dimensional pulsatile blood flow through overlapping constricted tapered vessels is presented. In order to establish resemblance to the in vivo conditions, an improved shape of the time-variant overlapping stenosis in the elastic tapered artery subject to pulsatile pressure gradient is considered. Because it contains a suspension of all erythrocytes, the flowing blood is represented by micropolar fluid. By applying a suitable coordinate transformation, tapered cosine-shaped artery turned into non-tapered rectangular and a rigid artery. The governing nonlinear partial differential equations under the imposed realistic boundary conditions are solved using the finite difference method. The effects of vessel tapering on flow characteristics considering their dependencies with time are investigated. The results show that by increasing the taper angle the axial velocity and volumetric flow rate increase and the microrotational velocity and resistive impedance reduce. It has been shown that the results are in agreement with similar data from the literature.

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In the present study, a two-layered model of pulsatile flow of blood through a stenosed elastic artery is numerically examined. The two-fluid model consists of a core layer of a suspension of erythrocytes and peripheral plasma layer. It is assumed that the core and peripheral plasma layer behave as micropolar and Newtonian fluids respectively. The resulting system of nonlinear partial differential equations is numerically solved using the finite difference scheme by exploiting the suitably prescribed conditions. Effects of the tapering angle, wall deformation and severity of the stenosis on flow characteristics are discussed. The present results are compared with literature and found to be in good agreement.

This paper uses polynomial interpolation to design a novel high-order algorithm for the numerical estimation of fractional differential equations. The Riemann-Liouville fractional derivative is expressed by using the Hadamard finite-part integral and the piecewise cubic interpolation polynomial is utilized to approximate the integral. The detailed error analysis is presented an it is established that the convergence order of the algorithm is O(h 4−α). Asymptotic expansion for the error of presented algorithm is also investigated. Some numerical examples are provided and compared with the exact solution to show that the numerical results are in well agreement with the theoretical ones and also to illustrate the accuracy and efficiency of the proposed algorithm.