Exact unsteady solutions of the NavierStokes equation
Abstract
Unsteady solutions of the NaviearStokes equation which are not limited to boundary regions, which take convective forces into account, and which can be expressed as elementary functions are developed. The case of an incompressible Newtonian fluid between two plane surfaces of infinite extension, moving normal to their plane according to two time laws, is considered. Two types of similarity solutions of the resulting NavierStokes equation are discussed. It is considered remarkable that the flow time laws can be both monotonically rising and monotonically falling, so that the solutions apply whether the walls are converging or diverging.
 Publication:

Gesellschaft angewandte Mathematik und Mechanik Jahrestagung Goettingen West Germany Zeitschrift Flugwissenschaften
 Pub Date:
 1983
 Bibcode:
 1983GMMWJ..63..273M
 Keywords:

 Computational Fluid Dynamics;
 NavierStokes Equation;
 Numerical Stability;
 Flow Equations;
 Incompressible Fluids;
 Newtonian Fluids;
 Wall Flow;
 Fluid Mechanics and Heat Transfer