Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates

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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Main Authors: Saeed Dinarvand, Abed Moradi
Format: Article
Language:English
Published: Hindawi Limited 2012-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2012/938624
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spelling doaj-277c62d77e9941dcbeb34658bb152e802020-11-24T22:36:30ZengHindawi LimitedJournal 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
collection DOAJ
language English
format Article
sources DOAJ
author Saeed Dinarvand
Abed Moradi
spellingShingle Saeed Dinarvand
Abed Moradi
Two-Dimensional and Axisymmetric Unsteady Flows due to Normally Expanding or Contracting Parallel Plates
Journal of Applied Mathematics
author_facet Saeed Dinarvand
Abed Moradi
author_sort Saeed Dinarvand
title 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_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_sort two-dimensional and axisymmetric unsteady flows due to normally expanding or contracting parallel plates
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2012-01-01
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.
url http://dx.doi.org/10.1155/2012/938624
work_keys_str_mv AT saeeddinarvand twodimensionalandaxisymmetricunsteadyflowsduetonormallyexpandingorcontractingparallelplates
AT abedmoradi twodimensionalandaxisymmetricunsteadyflowsduetonormallyexpandingorcontractingparallelplates
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