Naslov
Fluid flow through curved pipes

Autori
Marusic-Paloka, Eduard

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, neobjavljeni rad, znanstveni

Skup
Multiscale systems and homogenization

Mjesto i datum
Heidelberg, Njemačka, 21.11.1999. - 27.11.1999

Vrsta sudjelovanja
Pozvano predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
Navier-Stokes equations; Poiseuille flow; correctors; curved pipes

Sažetak
We consider an injection of incompressible viscous fluid in a curved pipe with a smooth central curve $\gamma$. The 1-dimensional model is obtained via singular perturbation of the Navier-Stokes system as $\varepsilon$, the ratio between cross section area and the length of the pipe, tends to $0$. An asymptotic expansion of the flow in powers of $\varepsilon$ is computed. The first term in the expansion depends only on the tangential injection along the central curve $\gamma $ of the pipe and the velocity as well as the presure drop are in the tangential direction. The second term contains the effects of the curvature (flexion) of $\gamma$ in the direction of the tangent while in the direction of the normal and the binormal to $\gamma$ the effects of torsion appear. The boundary layers at the ends of the pipe are studied. The error estimate is proved.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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