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Effects of rough boundary on the heat transfer in a thin film flow (CROSBI ID 193212)

Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija

Pažanin, Igor ; Suarez-Grau, Francisco Javier Effects of rough boundary on the heat transfer in a thin film flow // Comptes rendus. Mécanique, 341 (2013), 8; 646-652. doi: 10.1016/j.crme.2013.05.001

Podaci o odgovornosti

Pažanin, Igor ; Suarez-Grau, Francisco Javier

engleski

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 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.

thin-film lubrication; heat conduction; rough boundaries; asymptotic analysis

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Podaci o izdanju

341 (8)

2013.

646-652

objavljeno

1631-0721

10.1016/j.crme.2013.05.001

Povezanost rada

Matematika

Poveznice
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