Two dimensional linearized viscous flows
Abstract
The linearized motions are investigated of a viscous, uncompressible fluid in two dimensions using Laplace transform techniques. The existence of the transformed solution is established using the techniques of classical potential theory. Expansions are found for the transformed velocity for both large and small values of s, the transform parameter. The large s expansion is used to prove the existence of the inverse transform. The small s expansion is used to study the flow velocity for large time. It is shown that the linearized time dependent flows approach steady state flows very slowly as time approaches infinity.
 Publication:

Ph.D. Thesis
 Pub Date:
 1975
 Bibcode:
 1975PhDT........49L
 Keywords:

 Linearity;
 Two Dimensional Flow;
 Viscous Flow;
 Equations Of Motion;
 Laplace Transformation;
 Potential Theory;
 Fluid Mechanics and Heat Transfer