Mathematical model of heat transfer through a conductive pipe

Ljulj, Matko; Marušić-Paloka, Eduard; Pažanin, Igor; Tambača, Josip

doi:10.1051/m2an/2021008

Pregled bibliografske jedinice broj: 1109340

Mathematical model of heat transfer through a conductive pipe

Ljulj, Matko; Marušić-Paloka, Eduard; Pažanin, Igor; Tambača, Josip

Mathematical model of heat transfer through a conductive pipe // Modélisation mathématique et analyse numérique = Mathematical modelling and numerical analysis, 55 (2021), 2; 627-658 doi:10.1051/m2an/2021008 (međunarodna recenzija, članak, znanstveni)

CROSBI ID: 1109340 Za ispravke kontaktirajte CROSBI podršku putem web obrasca

Naslov
Mathematical model of heat transfer through a conductive pipe

Autori
Ljulj, Matko ; Marušić-Paloka, Eduard ; Pažanin, Igor ; Tambača, Josip

Izvornik
Modélisation mathématique et analyse numérique = Mathematical modelling and numerical analysis (0764-583X) 55 (2021), 2; 627-658

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

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 through the pipe and the exterior medium neglects the effects of the pipe's wall. The goal of this paper is to prove that they are not always negligible. Comparing the ratio between diffusivities of the fluid and the wall with the wall's thickness, using rigorous asymptotic analysis, we find five different models for effective description of the heat exchange process.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA

Projekti:
HRZZ-IP-2018-01-2735 - Asimptotička analiza rubnih problema u mehanici kontinuuma (ASAN) (Marušić-Paloka, Eduard, HRZZ - 2018-01) ( CroRIS)

Ustanove:
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb,
Prirodoslovno-matematički fakultet, Zagreb

Profili:

Josip Tambača (autor)