End effects for plane stokes flow along a semi-infinite strip

R. J. Knops; C. Lupoli

doi:10.1007/s000330050072

End effects for plane stokes flow along a semi-infinite strip

R. J. Knops, C. Lupoli

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

17 Citations (Scopus)

Abstract

A new technique is employed to derive estimates governing the penetration of end effects for the slow flow of an incompressible viscous fluid along a semi-infinite strip subject to zero velocity on the lateral sides, a prescribed time dependent specified end velocity and zero initial conditions. Both growth and decay of the solution is established in cross-sectional line measure, thus demonstrating a relationship with the classical Phragmèn-Lindelöf principle.

Original language	English
Pages (from-to)	905-920
Number of pages	16
Journal	Zeitschrift für angewandte Mathematik und Physik ZAMP
Volume	48
Issue number	6
DOIs	https://doi.org/10.1007/s000330050072
Publication status	Published - Nov 1997

Keywords

End effects
Plane stokes flow
Saint-Venant's principle
Statics and dynamics

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10.1007/s000330050072

Cite this

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abstract = "A new technique is employed to derive estimates governing the penetration of end effects for the slow flow of an incompressible viscous fluid along a semi-infinite strip subject to zero velocity on the lateral sides, a prescribed time dependent specified end velocity and zero initial conditions. Both growth and decay of the solution is established in cross-sectional line measure, thus demonstrating a relationship with the classical Phragm{\`e}n-Lindel{\"o}f principle.",

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AB - A new technique is employed to derive estimates governing the penetration of end effects for the slow flow of an incompressible viscous fluid along a semi-infinite strip subject to zero velocity on the lateral sides, a prescribed time dependent specified end velocity and zero initial conditions. Both growth and decay of the solution is established in cross-sectional line measure, thus demonstrating a relationship with the classical Phragmèn-Lindelöf principle.

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KW - Plane stokes flow

KW - Saint-Venant's principle

KW - Statics and dynamics

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ER -

End effects for plane stokes flow along a semi-infinite strip

Abstract

Keywords

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