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

R. J. Knops, C. Lupoli

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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 languageEnglish
Pages (from-to)905-920
Number of pages16
JournalZeitschrift für angewandte Mathematik und Physik ZAMP
Issue number6
Publication statusPublished - Nov 1997


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


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