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Analysis of velocity equation of steady flow of a viscous incompressible fluid in channel with porous walls
Author(s) -
Babaelahi M.,
Ganji D. D.,
Joneidi A. A.
Publication year - 2010
Publication title -
international journal for numerical methods in fluids
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.938
H-Index - 112
eISSN - 1097-0363
pISSN - 0271-2091
DOI - 10.1002/fld.2114
Subject(s) - mathematics , matrix similarity , boundary value problem , partial differential equation , compressibility , open channel flow , nonlinear system , shooting method , flow (mathematics) , mathematical analysis , fluid dynamics , ordinary differential equation , mechanics , incompressible flow , differential equation , physics , geometry , quantum mechanics
Steady flow of a viscous incompressible fluid in a channel, driven by suction or injection of the fluid through the channel walls, is investigated. The velocity equation of this problem is reduced to nonlinear ordinary differential equation with two boundary conditions by appropriate transformation and convert the two‐point boundary‐value problem for the similarity function into an initial‐value problem in which the position of the upper channel. Then obtained differential equation is solved analytically using differential transformation method and compare with He's variational iteration method and numerical solution. These methods can be easily extended to other linear and nonlinear equations and so can be found widely applicable in engineering and sciences. Copyright © 2009 John Wiley & Sons, Ltd.