Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet
High Weissenberg boundary layer flow of viscoelastic fluids on a stretching surface has been studied. The flow is considered to be steady and two dimensional. Flows of viscoelastic liquids at high Weissenberg number exhibit stress boundary layers near walls. These boundary layers are caused by the m...
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| Format: | Article |
| Language: | English |
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Islamic Azad University-Isfahan (Khorasgan) Branch
2016-06-01
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| Series: | International Journal of Advanced Design and Manufacturing Technology |
| Subjects: | |
| Online Access: | https://admt.isfahan.iau.ir/article_534967_3b32ac425be0e3a17bce9f9f85d07df1.pdf |
| _version_ | 1797657227782258688 |
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| author | Meysam Mohamadali Nariman Ashrafi |
| author_facet | Meysam Mohamadali Nariman Ashrafi |
| author_sort | Meysam Mohamadali |
| collection | DOAJ |
| description | High Weissenberg boundary layer flow of viscoelastic fluids on a stretching surface has been studied. The flow is considered to be steady and two dimensional. Flows of viscoelastic liquids at high Weissenberg number exhibit stress boundary layers near walls. These boundary layers are caused by the memory of the fluid. Upon proper scaling and by means of an exact similarity transformation, the non-linear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. Effects of variation in pressure gradient and Weissenberg number on velocity profile and stress components are investigated. It is observed that the value of stress components decrease by Weissenberg number. Moreover, the results show that increasing the pressure gradient results in thicker velocity boundary layer. It is observed that unlike the Newtonian flows, in order to maintain a potential flow, normal stresses must inevitably develop in far fields. |
| first_indexed | 2024-03-11T17:41:26Z |
| format | Article |
| id | doaj.art-021c4a490f4a4315ad18bd81cd444895 |
| institution | Directory Open Access Journal |
| issn | 2252-0406 2383-4447 |
| language | English |
| last_indexed | 2024-03-11T17:41:26Z |
| publishDate | 2016-06-01 |
| publisher | Islamic Azad University-Isfahan (Khorasgan) Branch |
| record_format | Article |
| series | International Journal of Advanced Design and Manufacturing Technology |
| spelling | doaj.art-021c4a490f4a4315ad18bd81cd4448952023-10-18T09:21:00ZengIslamic Azad University-Isfahan (Khorasgan) BranchInternational Journal of Advanced Design and Manufacturing Technology2252-04062383-44472016-06-01923544534967Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching SheetMeysam Mohamadali0Nariman Ashrafi1Department of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, IranDepartment of Mechanical and Aerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran, IranHigh Weissenberg boundary layer flow of viscoelastic fluids on a stretching surface has been studied. The flow is considered to be steady and two dimensional. Flows of viscoelastic liquids at high Weissenberg number exhibit stress boundary layers near walls. These boundary layers are caused by the memory of the fluid. Upon proper scaling and by means of an exact similarity transformation, the non-linear momentum and constitutive equations of each layer transform into the respective system of highly nonlinear and coupled ordinary differential equations. Effects of variation in pressure gradient and Weissenberg number on velocity profile and stress components are investigated. It is observed that the value of stress components decrease by Weissenberg number. Moreover, the results show that increasing the pressure gradient results in thicker velocity boundary layer. It is observed that unlike the Newtonian flows, in order to maintain a potential flow, normal stresses must inevitably develop in far fields.https://admt.isfahan.iau.ir/article_534967_3b32ac425be0e3a17bce9f9f85d07df1.pdfboundary layerhigh weissenberg flownonlinear viscoelastic fluidsimilarity solution |
| spellingShingle | Meysam Mohamadali Nariman Ashrafi Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet International Journal of Advanced Design and Manufacturing Technology boundary layer high weissenberg flow nonlinear viscoelastic fluid similarity solution |
| title | Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet |
| title_full | Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet |
| title_fullStr | Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet |
| title_full_unstemmed | Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet |
| title_short | Development of Boundary Layer of Highly Elastic Flow of the Upper Convected Maxwell Fluid over a Stretching Sheet |
| title_sort | development of boundary layer of highly elastic flow of the upper convected maxwell fluid over a stretching sheet |
| topic | boundary layer high weissenberg flow nonlinear viscoelastic fluid similarity solution |
| url | https://admt.isfahan.iau.ir/article_534967_3b32ac425be0e3a17bce9f9f85d07df1.pdf |
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