Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model
In this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. Our analysis in this study revealed that;for normal-stress tqq , the XPP model can predict this tensor unlike the other viscoelastic models such as PTT or Gieskus whic...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Iranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECR
2010-09-01
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| Series: | Iranian Journal of Chemistry & Chemical Engineering |
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| Online Access: | http://www.ijcce.ac.ir/article_6641_5d73489a0176c75c949a057dce6bb4ca.pdf |
| _version_ | 1811276506625736704 |
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| author | Mohammad Reza Khorsand Movagar Fariborz Rashidi Fatemeh Goharpey Mahmoud Mirzazadeh Ehsan Amani |
| author_facet | Mohammad Reza Khorsand Movagar Fariborz Rashidi Fatemeh Goharpey Mahmoud Mirzazadeh Ehsan Amani |
| author_sort | Mohammad Reza Khorsand Movagar |
| collection | DOAJ |
| description | In this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. Our analysis in this study revealed that;for normal-stress tqq , the XPP model can predict this tensor unlike the other viscoelastic models such as PTT or Gieskus which can not predict tqq for viscoelastic fluid in two dimensional pipe flows. The fluid is modelled using a modification of the Pom-Pom model known as the single eXtended Pom-Pom (XPP) where viscoelastic fluid is typically a commercial low-density polyethylene.In finite volume method, the operator-integration is used to discretize the governing equations in space or control volume. An iterative solution algorithm that decouples the computation of momentum from that of stress is used to solve the discrete equations. Numerical results are presented, including the profiles of all relevant stresses, the axial velocity, stretch and the viscosity across the gap, demonstrating the performance of the model predictions. The influence of elasticity parameter on flow behaviour is studied, which demonstrates in particular, the dependence of velocity and stresses distribution as a function of Weissenberg number is analyzed. Also, the effect of Weissenberg number on pressure gradient has been considered. Finally, verification of the present model was made by comparing to the Generalized Newtonian Fluid (GNF) model. |
| first_indexed | 2024-04-12T23:59:01Z |
| format | Article |
| id | doaj.art-3d79d733c42e46c68e93658ad4de8986 |
| institution | Directory Open Access Journal |
| issn | 1021-9986 1021-9986 |
| language | English |
| last_indexed | 2024-04-12T23:59:01Z |
| publishDate | 2010-09-01 |
| publisher | Iranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECR |
| record_format | Article |
| series | Iranian Journal of Chemistry & Chemical Engineering |
| spelling | doaj.art-3d79d733c42e46c68e93658ad4de89862022-12-22T03:11:24ZengIranian Institute of Research and Development in Chemical Industries (IRDCI)-ACECRIranian Journal of Chemistry & Chemical Engineering1021-99861021-99862010-09-0129383946641Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom ModelMohammad Reza Khorsand Movagar0Fariborz Rashidi1Fatemeh Goharpey2Mahmoud Mirzazadeh3Ehsan Amani4Faculty of Chemical Engineering, Amirkabir University of Technology, Tehran, I.R. IRANFaculty of Chemical Engineering, Amirkabir University of Technology, Tehran, I.R. IRANFaculty of Polymer Engineering, Amirkabir University of Technology, Tehran, I.R. IRANFaculty of Chemical Engineering, Amirkabir University of Technology, Tehran, I.R. IRANFaculty of Mechanical Engineering, Amirkabir University of Technology, Tehran, I.R. IRANIn this study prediction of the steady-state flow of branched polymer melts in pipe geometry with finite volume method is presented. Our analysis in this study revealed that;for normal-stress tqq , the XPP model can predict this tensor unlike the other viscoelastic models such as PTT or Gieskus which can not predict tqq for viscoelastic fluid in two dimensional pipe flows. The fluid is modelled using a modification of the Pom-Pom model known as the single eXtended Pom-Pom (XPP) where viscoelastic fluid is typically a commercial low-density polyethylene.In finite volume method, the operator-integration is used to discretize the governing equations in space or control volume. An iterative solution algorithm that decouples the computation of momentum from that of stress is used to solve the discrete equations. Numerical results are presented, including the profiles of all relevant stresses, the axial velocity, stretch and the viscosity across the gap, demonstrating the performance of the model predictions. The influence of elasticity parameter on flow behaviour is studied, which demonstrates in particular, the dependence of velocity and stresses distribution as a function of Weissenberg number is analyzed. Also, the effect of Weissenberg number on pressure gradient has been considered. Finally, verification of the present model was made by comparing to the Generalized Newtonian Fluid (GNF) model.http://www.ijcce.ac.ir/article_6641_5d73489a0176c75c949a057dce6bb4ca.pdfviscoelastic flowextended pom-pomfinite volume methodpipe flow |
| spellingShingle | Mohammad Reza Khorsand Movagar Fariborz Rashidi Fatemeh Goharpey Mahmoud Mirzazadeh Ehsan Amani Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model Iranian Journal of Chemistry & Chemical Engineering viscoelastic flow extended pom-pom finite volume method pipe flow |
| title | Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model |
| title_full | Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model |
| title_fullStr | Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model |
| title_full_unstemmed | Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model |
| title_short | Effect of Elasticity Parameter on Viscoelastic Fluid in Pipe Flow Using Extended Pom-Pom Model |
| title_sort | effect of elasticity parameter on viscoelastic fluid in pipe flow using extended pom pom model |
| topic | viscoelastic flow extended pom-pom finite volume method pipe flow |
| url | http://www.ijcce.ac.ir/article_6641_5d73489a0176c75c949a057dce6bb4ca.pdf |
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