Effects of rough boundary on the heat transfer in a thin film flow
In this Note a heat flow through a rough thin domain filled with fluid (lubricant) is studied. Domain's thickness is considered as the small parameter $\varepsilon$, while the roughness is defined by a periodical function with period of order $\varepsilon^2$. We assume that the lubricant is coo...
| Autores: | , |
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| Formato: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2013 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/175579 |
| Acesso em linha: | https://hdl.handle.net/11441/175579 https://doi.org/10.1016/j.crme.2013.05.001 |
| Access Level: | acceso abierto |
| Palavra-chave: | thin- lm lubrication heat conduction rough boundaries asymptotic analysis |
| Resumo: | In this Note a heat flow through a rough thin domain filled with fluid (lubricant) is studied. Domain's thickness is considered as the small parameter $\varepsilon$, while the roughness is defined by a periodical function with period of order $\varepsilon^2$. We assume that the lubricant is cooled by the exterior medium and we describe the heat exchange on the rough part of the boundary by the Newton's cooling law. Depending on the magnitude of the heat transfer coefficient with respect to $\varepsilon$, we obtain three different macroscopic models via formal asymptotic analysis. We identify the critical case explicitly acknowledging both roughness-induced effects and the effects of surrounding medium on the heat transfer at main order. We illustrate the obtained results by some numerical simulations. |
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