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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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2014/417643 |
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| author | Vasile Marinca Remus-Daniel Ene |
| author_facet | Vasile Marinca Remus-Daniel Ene |
| author_sort | Vasile Marinca |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-21d92a8803d14e129bcb6e7361a6694c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-21d92a8803d14e129bcb6e7361a6694c2025-02-03T01:26:42ZengWileyAdvances 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2014/417643 |
| work_keys_str_mv | AT vasilemarinca dualapproximatesolutionsoftheunsteadyviscousflowoverashrinkingcylinderwithoptimalhomotopyasymptoticmethod AT remusdanielene dualapproximatesolutionsoftheunsteadyviscousflowoverashrinkingcylinderwithoptimalhomotopyasymptoticmethod |