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2014 Magnetic Field and Gravity Effects on Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel
A. M. Abd-Alla, S. M. Abo-Dahab, Maram M. Albalawi
Abstr. Appl. Anal. 2014(SI17): 1-11 (2014). DOI: 10.1155/2014/896121

Abstract

In this paper, the peristaltic flow of a Jeffrey fluid in an asymmetric channel has been investigated. Mathematical modeling is carried out by utilizing long wavelength and low Reynolds number assumptions. Closed form expressions for the pressure gradient, pressure rise, stream function, axial velocity, and shear stress on the channel walls have been computed numerically. Effects of the Hartmann number, the ratio of relaxation to retardation times, time-mean flow, the phase angle and the gravity field on the pressure gradient, pressure rise, streamline, axial velocity, and shear stress are discussed in detail and shown graphically. The results indicate that the effect of Hartmann number, ratio of relaxation to retardation times, time-mean flow, phase angle, and gravity field are very pronounced in the peristaltic transport phenomena. Comparison was made with the results obtained in the presence and absence of magnetic field and gravity field.

Citation

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A. M. Abd-Alla. S. M. Abo-Dahab. Maram M. Albalawi. "Magnetic Field and Gravity Effects on Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel." Abstr. Appl. Anal. 2014 (SI17) 1 - 11, 2014. https://doi.org/10.1155/2014/896121

Information

Published: 2014
First available in Project Euclid: 3 October 2014

zbMATH: 07023263
MathSciNet: MR3198269
Digital Object Identifier: 10.1155/2014/896121

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI17 • 2014
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