Naslov
Rigorous justification of the asymptotic model describing a curved-pipe flow in a time- dependent domain

Autori
Castineira, Gonzalo ; Marušić-Paloka, Eduard ; Pažanin, Igor ; Rodriguez, Jose Manuel

Izvornik
Zeitschrift für angewandte Mathematik und Mechanik (0044-2267) 99 (2019), 1; 201800154, 39

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

Ključne riječi
curved pipe ; time-dependent domain ; Navier-Stokes equations ; asymptotic analysis ; error estimates

Sažetak
This paper is devoted to the mathematical justification of an asymptotic model of a viscousflow in a curved tube with moving walls by proving error estimates. To this aim, we first construct the space correctors near the pipe’s inlet and outlet due to the boundary layer phenomenon. In order to guarantee the adequate properties for these correctors we study what we called modified Leray’s problem defined in a semi-infinite strip. We ensure the existence and uniqueness of an exponential decaying solution when the axial variable tends to infinity. Then, by deriving a Poincar´e’s type inequality and other estimates for the boundary value problems taking into account the condition on the pipe’s lateral boundary, we evaluate the difference between the asymptotic approximation and the exact solution of the problem.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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