Unidirectional steady flow of a viscoelastic fluid with a free surface

Jose Miguel Urbano; Juha H. Vldeman

doi:10.4171/IFB/48

Unidirectional steady flow of a viscoelastic fluid with a free surface

Research output: Contribution to journal › Article › peer-review

Abstract

We study the steady flow of a second grade fluid down an open inclined channel. We formulate the mathematical problem, a mixed boundary value problem for the Laplacian with an unknown free boundary described by a nonlinear second-order ODE. and prove existence of a unique solution for small data using a contraction argument.

Original language	English (US)
Pages (from-to)	447-463
Number of pages	17
Journal	Interfaces and Free Boundaries
Volume	3
Issue number	4
DOIs	https://doi.org/10.4171/IFB/48
State	Published - Jan 1 2001
Externally published	Yes

ASJC Scopus subject areas

Surfaces and Interfaces

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10.4171/IFB/48

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abstract = "We study the steady flow of a second grade fluid down an open inclined channel. We formulate the mathematical problem, a mixed boundary value problem for the Laplacian with an unknown free boundary described by a nonlinear second-order ODE. and prove existence of a unique solution for small data using a contraction argument.",

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AB - We study the steady flow of a second grade fluid down an open inclined channel. We formulate the mathematical problem, a mixed boundary value problem for the Laplacian with an unknown free boundary described by a nonlinear second-order ODE. and prove existence of a unique solution for small data using a contraction argument.

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Unidirectional steady flow of a viscoelastic fluid with a free surface

Abstract

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