Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates
The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for two cases, the two-dimensional flow case and the axisymmetric flow case, is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/938624 |
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| _version_ | 1832548315954151424 |
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| author | Saeed Dinarvand Abed Moradi |
| author_facet | Saeed Dinarvand Abed Moradi |
| author_sort | Saeed Dinarvand |
| collection | DOAJ |
| description | The flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for two cases, the two-dimensional flow case and the axisymmetric flow case, is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into a highly non-linear ordinary differential equation. The series solution of the problem is obtained by utilizing the homotopy perturbation method (HPM). Graphical results are presented to investigate the influence of the squeeze number on the velocity, skin friction, and pressure gradient. The validity of our solutions is verified by the numerical results obtained by shooting method, coupled with Runge-Kutta scheme. |
| format | Article |
| id | doaj-art-277c62d77e9941dcbeb34658bb152e80 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-277c62d77e9941dcbeb34658bb152e802025-02-03T06:14:16ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/938624938624Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel PlatesSaeed Dinarvand0Abed Moradi1Young Researchers Club, Islamic Azad University, Central Tehran Branch, Tehran, IranMechanical Engineering Department, Islamic Azad University, Central Tehran Branch, Tehran, IranThe flow of a viscous incompressible fluid between two parallel plates due to the normal motion of the plates for two cases, the two-dimensional flow case and the axisymmetric flow case, is investigated. The governing nonlinear equations and their associated boundary conditions are transformed into a highly non-linear ordinary differential equation. The series solution of the problem is obtained by utilizing the homotopy perturbation method (HPM). Graphical results are presented to investigate the influence of the squeeze number on the velocity, skin friction, and pressure gradient. The validity of our solutions is verified by the numerical results obtained by shooting method, coupled with Runge-Kutta scheme.http://dx.doi.org/10.1155/2012/938624 |
| spellingShingle | Saeed Dinarvand Abed Moradi Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates Journal of Applied Mathematics |
| title | Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates |
| title_full | Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates |
| title_fullStr | Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates |
| title_full_unstemmed | Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates |
| title_short | Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates |
| title_sort | two dimensional and axisymmetric unsteady flows due to normally expanding or contracting parallel plates |
| url | http://dx.doi.org/10.1155/2012/938624 |
| work_keys_str_mv | AT saeeddinarvand twodimensionalandaxisymmetricunsteadyflowsduetonormallyexpandingorcontractingparallelplates AT abedmoradi twodimensionalandaxisymmetricunsteadyflowsduetonormallyexpandingorcontractingparallelplates |