Some exact hydrodynamic flows with free surfaces
Abstract
Some exact solutions for the time-dependent incompressible irrotational flow of a fluid contained between two free surfaces are presented. The free surfaces are either concentric circular cylinders or concentric spheres. The cases where constant pressures are applied at one or the other of the free surfaces are also described, and corresponding flows are analyzed for Taylor instability of the free boundaries. When the free boundaries are concentric circular cylinders, flows with constant non-zero circulation for circuits containing the cylinder axis are also described.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- April 1977
- Bibcode:
- 1977STIN...7813382R
- Keywords:
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- Boundary Value Problems;
- Incompressible Flow;
- Cylindrical Bodies;
- Hydrodynamics;
- Kinematics;
- Problem Solving;
- Taylor Series;
- Three Dimensional Flow;
- Two Dimensional Flow;
- Fluid Mechanics and Heat Transfer