Naslov
Modeling of heat transfer through conductive pipe

Autori
Tambača, Josip

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni

Skup
Croatian-German meeting on analysis and mathematical physics

Mjesto i datum
Online, 22.03.2021. - 25.03.2021

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Podatak o recenziji nije dostupan

Ključne riječi
Asymptotic analysis ; two-scale convergence ; convection-diffusion equation ; mathematical modeling ; heat transfer

Sažetak
The standard engineer’s model for heat transfer between the fluid flowing in the pipe and the exterior medium neglects the effects of the pipe’s wall. Our goal is to prove that they are not always negligible. Depending on the ratio between diffusivities of the fluid and the thin wall thickness, using rigorous asymptotic analysis, we find five different models for effective description of the heat exchange. In all cases the effective equation is the same heat conduction equation written only on the fluid domain with difference in the effective boundary condition describing the heat exchange through the pipe’s wall. Furthermore we present an unified model, that is also given only on the fluid domain, which has the same asympotics as the original problem and thus approximates the physical situation independently of the particular regime. This is a joint work with Matko Ljulj, Eduard Marušić-Paloka and Igor Pažanin

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA