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Applied Mathematics & Information Sciences

Author Country (or Countries)

Egypt

Abstract

In the present investigation, we have studied the influence of heat and chemical reactions on blood flow through anisotropically tapered elastic artery with overlapping stenosis. The nature of blood in small arteries are analyzed mathematically by considering it as micropolar fluid. The analysis is carried out for an artery with a mild stenosis. Analytical expressions for the axial velocity, the stream function, the circumferential microrotation, the temperature distribution, the concentration of fluid, the resistance impedance and the wall shear stress distribution have been computed numerically and the results were studied for various values of the physical parameters, such as the the coupling number N, the micropolar parameter m, the taper angle ?, the maximum height of stenosis ±, the Soret number Sr, the Brickmann number Br, the degree of anisotropy of the vessel wall n, the initial circumferential viscoelastic stress Tµo, the circumferential Poisson’s ratio ¾µ and the contribution of the elastic constraints to the total tethering K. The obtained results for different values of parameters into the problem under consideration show that the magnitude of the axial velocity is higher for a Newtonian fluid than that for a micropolar fluid also the transmission of axial velocity curves through a free tube is substantially higher than that through the tethered tube. Further the temperature profile increase rapidly for small values of micropolar parameter (micropolar spin parameter) while the concentration profile has an opposite behavior. The trapping bolus increase in size as the coupling number increases (the particle size increases) while the volume of the bolus decreases by increasing of micropolar parameter (micropolar spin parameter). Finally the size of trapped bolus for the stream lines in the free isotropic tube is smaller than those in the tethered tube.

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