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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

12 Issues per year


IMPACT FACTOR 2016: 1.432

CiteScore 2017: 1.30

SCImago Journal Rank (SJR) 2017: 0.403
Source Normalized Impact per Paper (SNIP) 2017: 0.632

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1865-7109
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Volume 70, Issue 4

Issues

The Study of Peristaltic Motion of Third Grade Fluid under the Effects of Hall Current and Heat Transfer

Kambiz Vafai / Ambreen Afsar Khan / Saba Sajjad / Rahmat Ellahi
  • Corresponding author
  • Department of Mechanical Engineering, University of California Riverside, CA 92521, USA
  • Department of Mathematics and Statistics, IIUI, H-10 Sector, 44000, Islamabad, Pakistan
  • Email
  • Other articles by this author:
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Published Online: 2015-03-28 | DOI: https://doi.org/10.1515/zna-2014-0330

Abstract

This article is concerned with the peristaltic pumping of an incompressible, electrically conducting third grade fluid in a uniform channel. The Hall effect under the influence of wall properties and heat transfer is taken into account. Mathematical modelling is based upon continuity, momentum, and energy equations. Closed form solutions for velocity, temperature, concentration, and heat transfer coefficient are obtained. Effects of pertinent parameters, such as third grade parameter Γ, Hall parameter M, amplitude ratio ε, Brickman number Br, Soret number Sc, wall tension E1 and elasticity parameters E2 and E3 on the velocity u, temperature θ, concentration φ, and heat transfer coefficient Z, are discussed through graphs.

Keywords: Analytical Solutions; Hall Current; Heat Transfer; Peristaltic Flow; Perturbation Method; Third Grade Fluid

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About the article

Corresponding author: Rahmat Ellahi, Department of Mechanical Engineering, University of California Riverside, CA 92521, USA; and Department of Mathematics and Statistics, IIUI, H-10 Sector, 44000, Islamabad, Pakistan, E-mail: ,


Received: 2014-11-30

Accepted: 2015-02-24

Published Online: 2015-03-28

Published in Print: 2015-04-01


Citation Information: Zeitschrift für Naturforschung A, Volume 70, Issue 4, Pages 281–293, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2014-0330.

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