Couette–poiseuille flow in semi-elliptic channels

Lopes, André Von Borries; Siqueira, I. R.

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Campo DC	Valor	Idioma
dc.contributor.author	Lopes, André Von Borries	-
dc.contributor.author	Siqueira, I. R.	-
dc.date.accessioned	2022-09-12T22:36:57Z	-
dc.date.available	2022-09-12T22:36:57Z	-
dc.date.issued	2022-05-06	-
dc.identifier.citation	LOPES, A. v. B.; SIQUEIRA, I. R. Couette–poiseuille flow in semi-elliptic channels. Journal of Fluids Engineering, v. 144, n. 10, p. 101302-1-101302-9, out. 2022. DOI 10.1115/1.4054356. Disponível em: https://asmedigitalcollection.asme.org/fluidsengineering/article/144/10/101302/1140202/Couette-Poiseuille-Flow-in-Semi-Elliptic-Channels. Acesso em: 12 set. 2022.	pt_BR
dc.identifier.uri	https://repositorio.unb.br/handle/10482/44789	-
dc.language.iso	Inglês	pt_BR
dc.publisher	ASME	pt_BR
dc.rights	Acesso Restrito	pt_BR
dc.title	Couette–poiseuille flow in semi-elliptic channels	pt_BR
dc.type	Artigo	pt_BR
dc.subject.keyword	Fluxo de Couette	pt_BR
dc.subject.keyword	Canais semielípticos	pt_BR
dc.identifier.doi	https://doi.org/10.1115/1.4054356	pt_BR
dc.relation.publisherversion	https://asmedigitalcollection.asme.org/fluidsengineering/article/144/10/101302/1140202/Couette-Poiseuille-Flow-in-Semi-Elliptic-Channels	pt_BR
dc.description.abstract1	We present a novel analytical solution for Couette flows of incompressible Newtonian fluids in channels with a semi-elliptical cross section. The flow is steady, unidirectional, satisfies the no-slip condition at the boundaries, and is driven by the movement of the planar wall at constant velocity. The theoretical approach consists of a mapping function to rewrite the problem in an elliptical coordinate system coupled with Fourier’s method for the solution of a Laplace equation with Dirichlet-type boundary conditions in the new domain. We then use our new solution together with available results for Poiseuille flows in a similar geometry (Alassar and Abushoshah, 2012, “Hagen–Poiseuille Flow in SemiElliptic Microchannels,” ASME J. Fluids Eng. 134(12), p. 124502) to study the so-called Couette–Poiseuille flows, where both pressure-driven and boundary-driven mechanisms act simultaneously. We present a detailed analysis of the flow field in Couette, Poiseuille, and Couette–Poiseuille flows in semi-elliptical channels with cross sections of different aspect ratios. For the latter case, we also determine the critical values of the axial pressure gradient that (i) increase the maximum flow velocity above that of the moving wall and shift its position toward the center of the channel, (ii) mark the onset of flow reversal with the emergence of a backflow region below the static wall, and (iii) eventually lead to a zero net flow rate through the channel.	pt_BR
dc.contributor.email	mailto:andre.lopes@unb.br	pt_BR
dc.contributor.email	mailto:irs@rice.edu	pt_BR
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