Stability of boundary layers along a rotating disk with uniform suction
Abstract
A theory is developed for the linear stability analysis on the effect of uniform suction through the disk due to threedimensional rotating disk flow, in which the effect of Coriolis forces and streamline curvature are included. The characteristics of the laminar boundary layer with uniform suction along a rotating disk are calculated, and then the perturbation equation describing the spatial evolution of disturbances is solved numerically according to the AdamsBashforth method for the velocity profiles obtained above. Variation of neutral stability curves and also of the critical Reynolds number are given for the values of the suction parameter. The results show that the boundary layer flow with uniform suction along a rotating disk becomes stable.
 Publication:

Zeitschrift Angewandte Mathematik und Mechanik
 Pub Date:
 1988
 DOI:
 10.1002/zamm.19880680110
 Bibcode:
 1988ZaMM...68...21W
 Keywords:

 Boundary Layer Stability;
 Coriolis Effect;
 Laminar Boundary Layer;
 Rotating Disks;
 Suction;
 Three Dimensional Flow;
 Boundary Layer Flow;
 Differential Equations;
 NavierStokes Equation;
 OrrSommerfeld Equations;
 Reynolds Number;
 Velocity Distribution;
 Fluid Mechanics and Heat Transfer