A note on unsteady boundary layers in a rotating flow
Abstract
The approximate solution given by Pop and Soundalgekar (1975) for the boundary layer flow of an incompressible viscous rotating fluid bounded by an oscillating porous plate with unsteady suction is shown to be incorrect on the basis of mathematical and physical reasons. A corrected form of the governing nondimensional equation is given. The new solution shows the existence of the classical Ekman and Stokes layers, and the orders of the thicknesses of the boundary layers are calculated. Suction controls the growth of the boundary layers in the resonant case. For a value of the small parameter of 0.2 and various values of the suction parameter, the frequency parameter, and the Ekman number, the corrected expressions for the dimensionaless velocity components are numerically calculated.
 Publication:

Journal of the Institute of Mathematics and Its Applications
 Pub Date:
 September 1977
 Bibcode:
 1977JIMIA..20..257P
 Keywords:

 Boundary Layer Stability;
 Porous Boundary Layer Control;
 Rotating Fluids;
 Unsteady Flow;
 Viscous Flow;
 Flat Plates;
 Oscillating Flow;
 Porous Walls;
 Suction;
 Fluid Mechanics and Heat Transfer