Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation
Abstract Williamson boundary layer fluid flow and heat transfer due to a nonlinearly stretching sheet is undertaken in this research. An important aspect of this study is that the thermal radiation and viscous dissipation phenomena are also included in this model. Because there is still much need fo...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-06-01
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| Series: | Journal of the Egyptian Mathematical Society |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s42787-019-0016-y |
| _version_ | 1819081826137800704 |
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| author | Ahmed M. Megahed |
| author_facet | Ahmed M. Megahed |
| author_sort | Ahmed M. Megahed |
| collection | DOAJ |
| description | Abstract Williamson boundary layer fluid flow and heat transfer due to a nonlinearly stretching sheet is undertaken in this research. An important aspect of this study is that the thermal radiation and viscous dissipation phenomena are also included in this model. Because there is still much need for more accurate results, the viscosity and the fluid conductivity are assumed to vary with temperature. Our main purpose is to achieve a similar solution in this physical model. Here, we come across a highly nonlinear differential constitutive equations which are solved numerically after utilizing the shooting method. In this respect, it is noteworthy that the main characteristic developed here is that the study is made for the governing parameters and their effects on both the drag velocity and the heat transfer rate. Further, a significant effect of both radiation parameter and viscosity parameter on heating process is observed. |
| first_indexed | 2024-12-21T20:06:57Z |
| format | Article |
| id | doaj.art-c3b9655095644841bd490e9cbf613a69 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-21T20:06:57Z |
| publishDate | 2019-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-c3b9655095644841bd490e9cbf613a692022-12-21T18:51:50ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282019-06-0127111010.1186/s42787-019-0016-yWilliamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiationAhmed M. Megahed0Department of Mathematics, Faculty of Science, Benha UniversityAbstract Williamson boundary layer fluid flow and heat transfer due to a nonlinearly stretching sheet is undertaken in this research. An important aspect of this study is that the thermal radiation and viscous dissipation phenomena are also included in this model. Because there is still much need for more accurate results, the viscosity and the fluid conductivity are assumed to vary with temperature. Our main purpose is to achieve a similar solution in this physical model. Here, we come across a highly nonlinear differential constitutive equations which are solved numerically after utilizing the shooting method. In this respect, it is noteworthy that the main characteristic developed here is that the study is made for the governing parameters and their effects on both the drag velocity and the heat transfer rate. Further, a significant effect of both radiation parameter and viscosity parameter on heating process is observed.http://link.springer.com/article/10.1186/s42787-019-0016-yWilliamson fluidNonlinearly stretching sheetVariable propertiesViscous dissipation |
| spellingShingle | Ahmed M. Megahed Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation Journal of the Egyptian Mathematical Society Williamson fluid Nonlinearly stretching sheet Variable properties Viscous dissipation |
| title | Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation |
| title_full | Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation |
| title_fullStr | Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation |
| title_full_unstemmed | Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation |
| title_short | Williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation |
| title_sort | williamson fluid flow due to a nonlinearly stretching sheet with viscous dissipation and thermal radiation |
| topic | Williamson fluid Nonlinearly stretching sheet Variable properties Viscous dissipation |
| url | http://link.springer.com/article/10.1186/s42787-019-0016-y |
| work_keys_str_mv | AT ahmedmmegahed williamsonfluidflowduetoanonlinearlystretchingsheetwithviscousdissipationandthermalradiation |