Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity

被引：3

作者：

Bakhti H. ^{[1
]}

Azrar L. ^{[1
,2
]}

机构：

[1] Department of Mathematics, Faculty of Sciences and Techniques, AEU, Tangier

[2] Department of Mechanical Engineering, Faculty of Engineering, KAU, Jeddah

来源：

Journal of Applied Mathematics | 2016年 / 2016卷

关键词：

Shear flow - Shear stress - Velocity - Diseases - Catheters - Magnetic field effects;

D O I：

10.1155/2016/9289684

中图分类号：

学科分类号：

摘要：

Steady flow of a couple-stress fluid in constricted tapered artery has been studied under the effects of transverse magnetic field, moving catheter, and slip velocity. With the help of Bessel's functions, analytic expressions for axial velocity, flow rate, impedance, and wall shear stress have been obtained. It is of interest to note that these solutions can be used for different types of fluid flow in tubes and not only the case of blood. The effects of various geometric parameters, the parameters arising out of the fluid considered and the magnetic field, are discussed by considering the slip velocity, the catheter velocity, and tapering angle. The study of the above model is very important as it has direct applications in the treatment of cardiovascular diseases. © 2016 Hamzah Bakhti and Lahcen Azrar.

引用

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