Some exact hydrodynamic flows with free surfaces
Abstract
Some exact solutions for the timedependent 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 nonzero 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:

 Boundary Value Problems;
 Incompressible Flow;
 Cylindrical Bodies;
 Hydrodynamics;
 Kinematics;
 Problem Solving;
 Taylor Series;
 Three Dimensional Flow;
 Two Dimensional Flow;
 Fluid Mechanics and Heat Transfer