Analysis of an asymptotic thermo fluid-dynamic model for parabolic trough power plants
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866910656859471872 |
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| author | Coclite, Giuseppe Maria Gasser, Ingenuin |
| author_facet | Coclite, Giuseppe Maria Gasser, Ingenuin |
| contents | Parabolic trough power plants transform solar radiative energy into thermal energy which is then typically used to produce electricity.
We consider a model derived in \cite{BGSP} to describe parabolic trough power plants. In particular, the thermo-fluid dynamics is studied in a single collector pipe where the solar radiation is concentrated. The model is the result of simplifying assumptions and asymptotic processes on the underlying mass, momentum and energy balance equations. { We show existence of solutions for the model. In addition we study the long-time behaviour and the stationary problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_14575 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Analysis of an asymptotic thermo fluid-dynamic model for parabolic trough power plants Coclite, Giuseppe Maria Gasser, Ingenuin Analysis of PDEs 35L65, 35F30, 35G60 Parabolic trough power plants transform solar radiative energy into thermal energy which is then typically used to produce electricity. We consider a model derived in \cite{BGSP} to describe parabolic trough power plants. In particular, the thermo-fluid dynamics is studied in a single collector pipe where the solar radiation is concentrated. The model is the result of simplifying assumptions and asymptotic processes on the underlying mass, momentum and energy balance equations. { We show existence of solutions for the model. In addition we study the long-time behaviour and the stationary problem. |
| title | Analysis of an asymptotic thermo fluid-dynamic model for parabolic trough power plants |
| topic | Analysis of PDEs 35L65, 35F30, 35G60 |
| url | https://arxiv.org/abs/2410.14575 |