Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method

Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method

The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation. The dual solutions exist for a certain range of mass sucti...

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Main Authors: Vasile Marinca, Remus-Daniel Ene
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2014/417643
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spelling doaj-21d92a8803d14e129bcb6e7361a6694c2021-07-02T07:56:39ZengHindawi LimitedAdvances in Mathematical Physics1687-91201687-91392014-01-01201410.1155/2014/417643417643Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic MethodVasile Marinca0Remus-Daniel Ene1Department of Mechanics and Vibration, Politehnica University of Timişoara, 300222 Timişoara, RomaniaDepartment of Mathematics, Politehnica University of Timişoara, 300006 Timişoara, RomaniaThe unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation. The dual solutions exist for a certain range of mass suction and unsteadiness parameters. A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.http://dx.doi.org/10.1155/2014/417643
collection DOAJ
language English
format Article
sources DOAJ
author Vasile Marinca
Remus-Daniel Ene
spellingShingle Vasile Marinca
Remus-Daniel Ene
Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method
Advances in Mathematical Physics
author_facet Vasile Marinca
Remus-Daniel Ene
author_sort Vasile Marinca
title Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method
title_short Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method
title_full Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method
title_fullStr Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method
title_full_unstemmed Dual Approximate Solutions of the Unsteady Viscous Flow over a Shrinking Cylinder with Optimal Homotopy Asymptotic Method
title_sort dual approximate solutions of the unsteady viscous flow over a shrinking cylinder with optimal homotopy asymptotic method
publisher Hindawi Limited
series Advances in Mathematical Physics
issn 1687-9120
1687-9139
publishDate 2014-01-01
description The unsteady viscous flow over a continuously shrinking surface with mass suction is investigated using the optimal homotopy asymptotic method (OHAM). The nonlinear differential equation is obtained by means of the similarity transformation. The dual solutions exist for a certain range of mass suction and unsteadiness parameters. A very good agreement was found between our approximate results and numerical solutions, which prove that OHAM is very efficient in practice, ensuring a very rapid convergence after only one iteration.
url http://dx.doi.org/10.1155/2014/417643
work_keys_str_mv AT vasilemarinca dualapproximatesolutionsoftheunsteadyviscousflowoverashrinkingcylinderwithoptimalhomotopyasymptoticmethod
AT remusdanielene dualapproximatesolutionsoftheunsteadyviscousflowoverashrinkingcylinderwithoptimalhomotopyasymptoticmethod
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