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 |
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Pages (from-to) | 905-920 |
Number of pages | 16 |
Journal | Zeitschrift für angewandte Mathematik und Physik ZAMP |
Volume | 48 |
Issue number | 6 |
DOIs | |
Publication status | Published - Nov 1997 |
Keywords
- End effects
- Plane stokes flow
- Saint-Venant's principle
- Statics and dynamics