Timedependent solutions of the NavierStokes equations
Abstract
An attempt is made to solve the NavierStokes equations for the incompressible laminar flow around an infinite porous plate in unsteady motion with a timedependent velocity. The Laplace transform applied to the coordinate normal to the wall is used to transform the NavierStokes equations into integral equations, and finds exact solutions for them in the case of timedependent velocity of suction through the plate.
 Publication:

Unione Matematica Italiana Bollettino
 Pub Date:
 February 1975
 Bibcode:
 1975UMIB...11..132P
 Keywords:

 Laminar Flow;
 NavierStokes Equation;
 Porous Boundary Layer Control;
 Time Dependence;
 Boundary Layer Flow;
 Coefficient Of Friction;
 Flat Plates;
 Flow Velocity;
 Incompressible Fluids;
 Integral Equations;
 Mass Transfer;
 Porous Plates;
 Suction;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer