Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method
Abstract An analysis has been performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates where the upper plate is impermeable and can move up or down and the lower one is fixed and has a porous surface. The governing equations for this problem are reduce...
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| Format: | Article |
| Language: | English |
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Marcílio Alves
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| Series: | Latin American Journal of Solids and Structures |
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| Online Access: | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001859&lng=en&tlng=en |
| _version_ | 1818062197590327296 |
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| author | H.A. Hoshyar D.D. Ganji A.R. Borran M. Falahati |
| author_facet | H.A. Hoshyar D.D. Ganji A.R. Borran M. Falahati |
| author_sort | H.A. Hoshyar |
| collection | DOAJ |
| description | Abstract An analysis has been performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates where the upper plate is impermeable and can move up or down and the lower one is fixed and has a porous surface. The governing equations for this problem are reduced to an ordinary form and is solved using Homotopy Analysis Method (HAM) and numerically by fourth order Runge-Kutta technique. Also, Velocity fields have been computed and shown graphically for various values of physical parameters. As an important outcome, HAM is able to solve a large class of nonlinear problems effectively, more easily and accurately; and thus it has been widely applicable in engineering and physics. |
| first_indexed | 2024-12-10T14:00:23Z |
| format | Article |
| id | doaj.art-3385abf6f75a45b8964a0e29c0ce5720 |
| institution | Directory Open Access Journal |
| issn | 1679-7825 |
| language | English |
| last_indexed | 2024-12-10T14:00:23Z |
| publisher | Marcílio Alves |
| record_format | Article |
| series | Latin American Journal of Solids and Structures |
| spelling | doaj.art-3385abf6f75a45b8964a0e29c0ce57202022-12-22T01:45:48ZengMarcílio AlvesLatin American Journal of Solids and Structures1679-782512101859186910.1590/1679-78251807S1679-78252015001001859Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis methodH.A. HoshyarD.D. GanjiA.R. BorranM. FalahatiAbstract An analysis has been performed to study the problem of the flow of incompressible Newtonian fluid between two parallel plates where the upper plate is impermeable and can move up or down and the lower one is fixed and has a porous surface. The governing equations for this problem are reduced to an ordinary form and is solved using Homotopy Analysis Method (HAM) and numerically by fourth order Runge-Kutta technique. Also, Velocity fields have been computed and shown graphically for various values of physical parameters. As an important outcome, HAM is able to solve a large class of nonlinear problems effectively, more easily and accurately; and thus it has been widely applicable in engineering and physics.http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001859&lng=en&tlng=enHomotopy Analysis Methodparallel porous platesunsteady flow |
| spellingShingle | H.A. Hoshyar D.D. Ganji A.R. Borran M. Falahati Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method Latin American Journal of Solids and Structures Homotopy Analysis Method parallel porous plates unsteady flow |
| title | Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method |
| title_full | Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method |
| title_fullStr | Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method |
| title_full_unstemmed | Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method |
| title_short | Flow behavior of unsteady incompressible Newtonian fluid flow between two parallel plates via homotopy analysis method |
| title_sort | flow behavior of unsteady incompressible newtonian fluid flow between two parallel plates via homotopy analysis method |
| topic | Homotopy Analysis Method parallel porous plates unsteady flow |
| url | http://www.scielo.br/scielo.php?script=sci_arttext&pid=S1679-78252015001001859&lng=en&tlng=en |
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