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.
|Number of pages||16|
|Journal||Zeitschrift für angewandte Mathematik und Physik ZAMP|
|Publication status||Published - Nov 1997|
- End effects
- Plane stokes flow
- Saint-Venant's principle
- Statics and dynamics