Journal of Applied Mathematics

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

Hamzah Bakhti and Lahcen Azrar

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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.

Article information

J. Appl. Math., Volume 2016 (2016), Article ID 9289684, 11 pages.

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

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

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