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

13 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

Access to Document

10.1007/s000330050072

Cite this

@article{97890d05a4d94837b12a8757e8456a03,

title = "End effects for plane stokes flow along a semi-infinite strip",

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.",

keywords = "End effects, Plane stokes flow, Saint-Venant's principle, Statics and dynamics",

author = "Knops, {R. J.} and C. Lupoli",

year = "1997",

month = nov,

doi = "10.1007/s000330050072",

language = "English",

volume = "48",

pages = "905--920",

journal = "Zeitschrift f{\"u}r angewandte Mathematik und Physik ZAMP",

issn = "0044-2275",

publisher = "Birkh{\"a}user",

number = "6",

}

TY - JOUR

T1 - End effects for plane stokes flow along a semi-infinite strip

AU - Knops, R. J.

AU - Lupoli, C.

PY - 1997/11

Y1 - 1997/11

N2 - 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.

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.

KW - End effects

KW - Plane stokes flow

KW - Saint-Venant's principle

KW - Statics and dynamics

UR - http://www.scopus.com/inward/record.url?scp=0031491054&partnerID=8YFLogxK

U2 - 10.1007/s000330050072

DO - 10.1007/s000330050072

M3 - Article

VL - 48

SP - 905

EP - 920

JO - Zeitschrift für angewandte Mathematik und Physik ZAMP

JF - Zeitschrift für angewandte Mathematik und Physik ZAMP

SN - 0044-2275

IS - 6

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this