Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow
Hydrodynamic stability of Dean flow is studied using two semi-analytical methods of differential transform method (DTM) and Homotopy perturbation method (HPM). These two methods are evaluated to examine the effectiveness and accuracy of the solution of considered eigenvalue problem. Very good accord...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Isfahan University of Technology
2018-01-01
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| Series: | Journal of Applied Fluid Mechanics |
| Subjects: | |
| Online Access: | http://jafmonline.net/JournalArchive/download?file_ID=46635&issue_ID=250 |
| _version_ | 1819044293011046400 |
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| author | H. Nowruzi S. Salman Nourazar H. Ghassemi |
| author_facet | H. Nowruzi S. Salman Nourazar H. Ghassemi |
| author_sort | H. Nowruzi |
| collection | DOAJ |
| description | Hydrodynamic stability of Dean flow is studied using two semi-analytical methods of differential transform method (DTM) and Homotopy perturbation method (HPM). These two methods are evaluated to examine the effectiveness and accuracy of the solution of considered eigenvalue problem. Very good accordance is achieved between our semi-analytical results compared to existing numerical data. Based on our analysis, in the similar number of truncated terms, HPM is more accurate in comparison with DTM. We also concluded that for the higher wave numbers, HPM provide more accurate results with less truncated terms compared to the DTM. Finally, we found the critical Dean number 35.927 corresponding to wave number of 3.952 for onset of instability of Dean flow. |
| first_indexed | 2024-12-21T10:10:22Z |
| format | Article |
| id | doaj.art-75f78bced2ed4bdbb392fddcdddfd4f8 |
| institution | Directory Open Access Journal |
| issn | 1735-3572 |
| language | English |
| last_indexed | 2024-12-21T10:10:22Z |
| publishDate | 2018-01-01 |
| publisher | Isfahan University of Technology |
| record_format | Article |
| series | Journal of Applied Fluid Mechanics |
| spelling | doaj.art-75f78bced2ed4bdbb392fddcdddfd4f82022-12-21T19:07:44ZengIsfahan University of TechnologyJournal of Applied Fluid Mechanics1735-35722018-01-0111514271435.Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean FlowH. Nowruzi0S. Salman Nourazar1H. Ghassemi2Department of Maritime Engineering, Amirkabir University of Technology, Tehran, Tehran, IranDepartment of Mechanical Engineering, Amirkabir University of Technology, Tehran, IranDepartment of Maritime Engineering, Amirkabir University of Technology, Tehran, Tehran, IranHydrodynamic stability of Dean flow is studied using two semi-analytical methods of differential transform method (DTM) and Homotopy perturbation method (HPM). These two methods are evaluated to examine the effectiveness and accuracy of the solution of considered eigenvalue problem. Very good accordance is achieved between our semi-analytical results compared to existing numerical data. Based on our analysis, in the similar number of truncated terms, HPM is more accurate in comparison with DTM. We also concluded that for the higher wave numbers, HPM provide more accurate results with less truncated terms compared to the DTM. Finally, we found the critical Dean number 35.927 corresponding to wave number of 3.952 for onset of instability of Dean flow.http://jafmonline.net/JournalArchive/download?file_ID=46635&issue_ID=250Hydrodynamic stability; Dean flow; Differential transform method; Homotopy perturbation method. |
| spellingShingle | H. Nowruzi S. Salman Nourazar H. Ghassemi Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow Journal of Applied Fluid Mechanics Hydrodynamic stability; Dean flow; Differential transform method; Homotopy perturbation method. |
| title | Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow |
| title_full | Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow |
| title_fullStr | Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow |
| title_full_unstemmed | Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow |
| title_short | Two Semi-Analytical Methods Applied to Hydrodynamic Stability of Dean Flow |
| title_sort | two semi analytical methods applied to hydrodynamic stability of dean flow |
| topic | Hydrodynamic stability; Dean flow; Differential transform method; Homotopy perturbation method. |
| url | http://jafmonline.net/JournalArchive/download?file_ID=46635&issue_ID=250 |
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