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Extended homotopy perturbation method and the axisymmetric flow past a porous stretching sheet
Author(s) -
AlMdallal Qasem M.,
Syam Muhammed I.,
Donald Ariel P.
Publication year - 2011
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.2619
Subject(s) - homotopy perturbation method , rotational symmetry , homotopy analysis method , mechanics , perturbation (astronomy) , homotopy , porosity , mathematics , classical mechanics , mathematical analysis , geometry , materials science , physics , composite material , pure mathematics , quantum mechanics
SUMMARY The extended homotopy perturbation method, which is an extension of the celebrated homotopy perturbation method (HPM), is applied to obtain a solution to the problem of the steady, laminar, axisymmetric flow of a viscous, incompressible fluid past a porous stretching sheet. The solution so obtained is totally analytical and is expressible in terms of the cross‐flow velocity of the fluid past the stretching sheet. Its hallmark is that it does not depend upon computation of any auxiliary parameter for enlarging the convergence region of the solution. Rather, it calculates the solution automatically adjusting the scaling factor of the independent similarity variable normal to the sheet. The results obtained by the extended HPM are in excellent agreement with the exact numerical solution. Also, an asymptotic solution valid for large suction parameter is developed, which matches well with the exact solution even for moderate values of the suction parameter. Copyright © 2011 John Wiley & Sons, Ltd.