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2016 Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity
Hamzah Bakhti, Lahcen Azrar
J. Appl. Math. 2016: 1-11 (2016). DOI: 10.1155/2016/9289684

Abstract

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.

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Hamzah Bakhti. Lahcen Azrar. "Steady Flow of Couple-Stress Fluid in Constricted Tapered Artery: Effects of Transverse Magnetic Field, Moving Catheter, and Slip Velocity." J. Appl. Math. 2016 1 - 11, 2016. https://doi.org/10.1155/2016/9289684

Information

Received: 9 July 2015; Revised: 22 August 2015; Accepted: 24 August 2015; Published: 2016
First available in Project Euclid: 13 April 2016

zbMATH: 07037299
MathSciNet: MR3459653
Digital Object Identifier: 10.1155/2016/9289684

Rights: Copyright © 2016 Hindawi

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