Naslov
Effective flow of micropolar fluid through a thin or long pipe

Autori
Pažanin, Igor

Izvornik
Mathematical problems in engineering (1024-123X) 2011 (2011); 127070-1

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

Ključne riječi
micropolar fluid; thin pipe; asymptotic expansion

Sažetak
The aim of this paper is to present the result about asymptotic approximation of the micropolar fluid flow through a thin (or long) straight pipe with variable cross-section. We assume that the flow is governed by the prescribed pressure drop between pipe's ends. Such model has relevance to some important industrial and engineering applications. The asymptotic behavior of the flow is investigated via rigorous asymptotic analysis with respect to the small parameter, being the ratio between pipe's thickness and its length. In the case of circular pipe, we obtain the explicit formulae for the approximation showing explicitly the effects of microstructure on the flow. We prove the corresponding error estimate justifying the obtained asymptotic model.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA