Naslov
Asymptotic analysis of the curved-pipe flow with a pressure-dependent viscosity satisfying Barus law

Autori
Pažanin, Igor

Izvornik
Mathematical problems in engineering (1024-123X) 2015 (2015); 905406, 8

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

Ključne riječi
Barus law ; curved pipe ; transformation procedure ; asymptotic analysis

Sažetak
Curved-pipe flows have been the subject of many theoretical investigations due to their importance in various applications. The goal of this paper is to study the flow of incompressible fluid with a pressure-dependent viscosity through a curved pipe with an arbitrary central curve and constant circular cross section. The viscosity-pressure dependence is described by the well-known Barus law extensively used by the engineers. We introduce the small parameter (representing the ratio of the pipe’s thickness and its length) into the problem and perform asymptotic analysis with respect to . The main idea is to rewrite the governing problem using the appropriate transformation and then to compute the asymptotic solution using curvilinear coordinates and two-scale asymptotic expansion. Applying the inverse transformation, we derive the asymptotic approximation of the flow clearly showing the influence of pipe’s distortion and viscosity-pressure dependence on the effective flow.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

POVEZANOST RADA