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On the helical pipe flow with a pressure-dependent viscosity


Pažanin, Igor
On the helical pipe flow with a pressure-dependent viscosity // Theoretical and Applied Mechanics Letters, 4 (2014), 6; 062006-1 doi:10.1063/2.1406206 (podatak o recenziji nije dostupan, članak, znanstveni)


Naslov
On the helical pipe flow with a pressure-dependent viscosity

Autori
Pažanin, Igor

Izvornik
Theoretical and Applied Mechanics Letters (2095-0349) 4 (2014), 6; 062006-1

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

Ključne riječi
Pressure-dependent viscosity; Barus law; helical pipe flow; curvilinear coordinates; asymptotic approximation

Sažetak
In this paper we address the flow of incompressible fluid with a pressure-dependent viscosity through a pipe with helical shape. The viscosity-pressure relation is defined by the Barus law. The thickness of the pipe and the helix step are assumed to be of the same order and considered as the small parameter. After transforming the starting problem, we compute the asymptotic solution using curvilinear coordinates and perturbation technique. The solution is provided in the explicit form clearly showing the influence of viscosity-pressure dependence and pipe's geometry on the effective flow.

Izvorni jezik
Engleski

Znanstvena područja
Matematika



POVEZANOST RADA


Projekt / tema
037-0372787-2797 - Asimptotičke metode u mehanici kontinuuma (Eduard Marušić-Paloka, )
HRZZ-IP-2013-11-3955 - Matematičko modeliranje i numeričke simulacije procesa u tankim i poroznim sredinama (Eduard Marušić-Paloka, )

Ustanove
Prirodoslovno-matematički fakultet, Matematički odjel, Zagreb

Autor s matičnim brojem:
Igor Pažanin, (267385)

Citati