Poiseuille Flow of Carreau-Yasuda Fluid at Variable Pressure Gradient
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866909162523328512 |
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| author | Kutev, Nikolay Tabakova, Sonia |
| author_facet | Kutev, Nikolay Tabakova, Sonia |
| contents | The unsteady Poiseuille flow of Carreau-Yasuda fluid in a pipe, caused by a variable pressure gradient, is studied theoretically. In a particular case, the steady flow is considered separately. It is proved that at some values of the viscosity model parameters, the problem has a generalized solution, while at others - classical solution. For the latter, a necessary and sufficient condition is found, which depends on the maximum pressure gradient and on the Carreau-Yasuda model parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_10063 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Poiseuille Flow of Carreau-Yasuda Fluid at Variable Pressure Gradient Kutev, Nikolay Tabakova, Sonia Analysis of PDEs 76A05, 35J66, 35Q35 The unsteady Poiseuille flow of Carreau-Yasuda fluid in a pipe, caused by a variable pressure gradient, is studied theoretically. In a particular case, the steady flow is considered separately. It is proved that at some values of the viscosity model parameters, the problem has a generalized solution, while at others - classical solution. For the latter, a necessary and sufficient condition is found, which depends on the maximum pressure gradient and on the Carreau-Yasuda model parameters. |
| title | Poiseuille Flow of Carreau-Yasuda Fluid at Variable Pressure Gradient |
| topic | Analysis of PDEs 76A05, 35J66, 35Q35 |
| url | https://arxiv.org/abs/2303.10063 |