Abstract and Applied Analysis

Magnetic Field and Gravity Effects on Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel

A. M. Abd-Alla, S. M. Abo-Dahab, and Maram M. Albalawi

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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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 896121, 11 pages.

Dates
First available in Project Euclid: 3 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412361167

Digital Object Identifier
doi:10.1155/2014/896121

Mathematical Reviews number (MathSciNet)
MR3198269

Zentralblatt MATH identifier
07023263

Citation

Abd-Alla, A. M.; Abo-Dahab, S. M.; Albalawi, Maram M. Magnetic Field and Gravity Effects on Peristaltic Transport of a Jeffrey Fluid in an Asymmetric Channel. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 896121, 11 pages. doi:10.1155/2014/896121. https://projecteuclid.org/euclid.aaa/1412361167


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