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Zeitschrift für Naturforschung A

A Journal of Physical Sciences

Editor-in-Chief: Holthaus, Martin

Editorial Board: Fetecau, Corina / Kiefer, Claus

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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Volume 65, Issue 12


Analytical Approach to a Slowly Deforming Channel Flow with Weak Permeability

Syed Tauseef Mohyud-Din / Ahmet Yıldırım / Sefa Anıl Sezer
Published Online: 2014-06-02 | DOI: https://doi.org/10.1515/zna-2010-1202

In this paper, we develop the analytical solution of the Navier-Stokes equations for a semi-infinite rectangular channel with porous and uniformly expanding or contracting walls by employing the homotopy perturbation method (HPM). The series solution of the governing problem is obtained. Some examples have been included. The results so obtained are compared with the existing literature and a remarkable improvement leads to an excellent agreement with the numerical results.

Keywords: Homotopy Perturbation Method; Analytical Solution; Deformable Channel; Viscous Fluid; Permeable Walls

About the article

Received: 2009-08-24

Accepted: 2009-12-06

Published Online: 2014-06-02

Published in Print: 2010-12-01

Citation Information: Zeitschrift für Naturforschung A, Volume 65, Issue 12, Pages 1033–1038, ISSN (Online) 1865-7109, ISSN (Print) 0932-0784, DOI: https://doi.org/10.1515/zna-2010-1202.

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© 1946 – 2014: Verlag der Zeitschrift für Naturforschung. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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