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Influence of an External Magnetic Field on the Flow of a Casson Fluid in Micro-Annulus Between Two Concentric Cylinders

Influence of an External Magnetic Field on the Flow of a Casson Fluid in Micro-Annulus Between... The steady flow of a Casson fluid within two horizontal coaxial rotating cylinders under the effect of magnetic field has been investigated. The inner and outer cylinders are rotating at a constant angular speed around their axis. The problem is considered in cylindrical coordinate system. The existence of the solution of non-dimensional governing differential equation has been presented using Schauder’s fixed point theorem. For the steady flow condition, the velocity distribution and skin friction have been obtained using modified Bessel functions. The graphical results are presented for the different flow parameters of interest. It is observed from the obtained results that, the velocity decreases with increase of magnetic field parameter and Casson parameter. Skin friction is an increasing function of Casson parameter and aspect ratio of the cylinders. The present analysis is useful for viscometric studies of blood in rheogoniometers and also for getting insight into blood flow anomalies. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Brazilian Mathematical Society, New Series Springer Journals

Influence of an External Magnetic Field on the Flow of a Casson Fluid in Micro-Annulus Between Two Concentric Cylinders

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References (33)

Publisher
Springer Journals
Copyright
Copyright © 2018 by Sociedade Brasileira de Matemática
Subject
Mathematics; Mathematics, general; Theoretical, Mathematical and Computational Physics
ISSN
1678-7544
eISSN
1678-7714
DOI
10.1007/s00574-018-0114-8
Publisher site
See Article on Publisher Site

Abstract

The steady flow of a Casson fluid within two horizontal coaxial rotating cylinders under the effect of magnetic field has been investigated. The inner and outer cylinders are rotating at a constant angular speed around their axis. The problem is considered in cylindrical coordinate system. The existence of the solution of non-dimensional governing differential equation has been presented using Schauder’s fixed point theorem. For the steady flow condition, the velocity distribution and skin friction have been obtained using modified Bessel functions. The graphical results are presented for the different flow parameters of interest. It is observed from the obtained results that, the velocity decreases with increase of magnetic field parameter and Casson parameter. Skin friction is an increasing function of Casson parameter and aspect ratio of the cylinders. The present analysis is useful for viscometric studies of blood in rheogoniometers and also for getting insight into blood flow anomalies.

Journal

Bulletin of the Brazilian Mathematical Society, New SeriesSpringer Journals

Published: Sep 28, 2018

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