Contribution of nonlinear theory of hydrodynamic instability
Abstract
The influence of small finite disturbances on the stability limits of laminar flows is analyzed. The order of the threshold value of the disturbance amplitude is identified at which the problem becomes essentially nonlinear. An expression relating the threshold value of the disturbance amplitude to the Reynolds number, the wave number, and the phase velocity of disturbance propagation is derived.
 Publication:

TsAGI Uchenye Zapiski
 Pub Date:
 1976
 Bibcode:
 1976ZaTsA...7...18Z
 Keywords:

 Flow Stability;
 Hydrodynamic Equations;
 Laminar Flow;
 Nonlinear Equations;
 Two Dimensional Flow;
 Amplitudes;
 Channel Flow;
 Perturbation Theory;
 Phase Velocity;
 Propagation Velocity;
 Reynolds Number;
 Thresholds;
 Viscous Flow;
 Fluid Mechanics and Heat Transfer