A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation
An interfacial area transport equation (IATE), proposed to dynamically describe the interfacial structure evolution of two-phase flows, could help improve the predictive capability of the two-fluid model. The present study aims to investigate the well-posedness issue of a one-dimensional two-fluid m...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2010/476839 |
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| _version_ | 1832548082589368320 |
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| author | Xia Wang Xiaodong Sun |
| author_facet | Xia Wang Xiaodong Sun |
| author_sort | Xia Wang |
| collection | DOAJ |
| description | An interfacial area transport equation (IATE), proposed to dynamically describe the interfacial structure evolution of two-phase flows, could help improve the predictive capability of the two-fluid model. The present study aims to investigate the well-posedness issue of a one-dimensional two-fluid model with the IATE (named “two-fluid-IATE model” hereafter) using a characteristic analysis. The momentum flux parameters, which take into account the coupling of the volumetric fraction of phase and velocity distributions over the cross-section of a flow passage, are employed. A necessary condition for the system to achieve hyperbolicity under an adiabatic flow condition is identified. A case study is performed for an adiabatic liquid-liquid slug flow, which shows that the hyperbolicity of the two-fluid-IATE model is guaranteed if appropriate correlations of the momentum flux parameters are applied in the two-fluid-IATE model. |
| format | Article |
| id | doaj-art-bc786228ac684cd9a2dfe41d09ec9d69 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-bc786228ac684cd9a2dfe41d09ec9d692025-02-03T06:42:25ZengWileyJournal of Applied Mathematics1110-757X1687-00422010-01-01201010.1155/2010/476839476839A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport EquationXia Wang0Xiaodong Sun1Department of Mechanical and Aerospace Engineering, The Ohio State University, 201 West 19th Avenue, Columbus, OH 43210, USADepartment of Mechanical and Aerospace Engineering, The Ohio State University, 201 West 19th Avenue, Columbus, OH 43210, USAAn interfacial area transport equation (IATE), proposed to dynamically describe the interfacial structure evolution of two-phase flows, could help improve the predictive capability of the two-fluid model. The present study aims to investigate the well-posedness issue of a one-dimensional two-fluid model with the IATE (named “two-fluid-IATE model” hereafter) using a characteristic analysis. The momentum flux parameters, which take into account the coupling of the volumetric fraction of phase and velocity distributions over the cross-section of a flow passage, are employed. A necessary condition for the system to achieve hyperbolicity under an adiabatic flow condition is identified. A case study is performed for an adiabatic liquid-liquid slug flow, which shows that the hyperbolicity of the two-fluid-IATE model is guaranteed if appropriate correlations of the momentum flux parameters are applied in the two-fluid-IATE model.http://dx.doi.org/10.1155/2010/476839 |
| spellingShingle | Xia Wang Xiaodong Sun A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation Journal of Applied Mathematics |
| title | A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation |
| title_full | A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation |
| title_fullStr | A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation |
| title_full_unstemmed | A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation |
| title_short | A Characteristic Analysis of One-Dimensional Two-Fluid Model with Interfacial Area Transport Equation |
| title_sort | characteristic analysis of one dimensional two fluid model with interfacial area transport equation |
| url | http://dx.doi.org/10.1155/2010/476839 |
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