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Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics

Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics Abstract In this note, traveling wave solutions for (3 + 1) dimensional fluid models of incompressible flow are considered. The governing partial differential equations of two models are reduced to ordinary differential equation by employing wave parameter and exact solutions are obtained. It is shown that these fluid models allow 3 + 1 dimensional solutions amongst each other. The methodology used in this work is independent of symmetric consideration and other restrictive assumption. Finally, a set of example of boundary condition is discussed for the couple stress fluid. It is observed that velocity profile strongly depends upon couple stress parameter. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Nonlinear Engineering de Gruyter

Traveling wave solutions for (3 + 1) dimensional equations arising in fluid mechanics

Nonlinear Engineering , Volume 3 (4) – Dec 1, 2014

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Publisher
de Gruyter
Copyright
Copyright © 2014 by the
ISSN
2192-8010
eISSN
2192-8029
DOI
10.1515/nleng-2014-0010
Publisher site
See Article on Publisher Site

Abstract

Abstract In this note, traveling wave solutions for (3 + 1) dimensional fluid models of incompressible flow are considered. The governing partial differential equations of two models are reduced to ordinary differential equation by employing wave parameter and exact solutions are obtained. It is shown that these fluid models allow 3 + 1 dimensional solutions amongst each other. The methodology used in this work is independent of symmetric consideration and other restrictive assumption. Finally, a set of example of boundary condition is discussed for the couple stress fluid. It is observed that velocity profile strongly depends upon couple stress parameter.

Journal

Nonlinear Engineeringde Gruyter

Published: Dec 1, 2014

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