Naslov
Effects of rough boundary on the heat transfer in a thin film flow

Autori
Pažanin, Igor ; Suarez-Grau, Francisco Javier

Izvornik
Comptes rendus. Mécanique (1631-0721) 341 (2013), 8; 646-652

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

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

Sažetak
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.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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