期刊名称：Walailak Journal of Science and Technology (WJST)
印刷版ISSN：2228-835X
出版年度：2014
卷号：12
期号：5
DOI：10.14456/vol12iss5pp
语种：English
出版社：Institute of Research and Development, Walailak University.
摘要：This paper is concerned with the analysis of blood flow through inclined catheterized arteries have a balloon (angioplasty) with time-variant overlapping stenosis. The nature of blood in small arteries are analyzed mathematically by considering it as a Carreau fluid. The analysis is carried out for an artery with a mild stenosis. The problem is formulated using a perturbation expansion in terms of a variant of theWeissenberg number to obtain explicit forms for the axial velocity, the stream function, the pressure gradient, the resistance impedance and the wall shear stress distribution. Also the results were studied for various values of the physical parameters, such as the Weissenberg number Wi, the power index n, the taper angle Á, the maximum height of stenosis , the angle of inclination, the maximum height of balloon , the axial displacement of the balloon zd, the flow rate F and the Froud number Fr. The obtained results show that the transmission of axial velocity curves through a Newtonian fluid (Wi = 0; n = 1) is substantially lower than that through a Carreau fluid near the wall of balloon while the inverse occur in the region between the balloon and stenosis. The stream lines have a clearly distinguished shifting toward the stenotic region and this shifting appear near the wall of the balloon, while it have almost disappeared near the stenotic wall and the size of trapping bolus in the case of Newtonian fluid (Wi = 0; n = 1) smaller than that through Carreau fluid.
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