Nonlinear interaction between perturbing modes in a parallel shear flow with the Gaussian wake profile
Abstract
A numerical calculation of the two-dimensional incompressible Navier-Stokes equations is used to explain the behavior of a nonlinear disturbance in a parallel shear flow similar to a flat plate wake. On the upstream boundary, the flow is excited by two modes with close frequencies. The interaction between the two modes is examined. The numerical results explain a suppression effect by the stronger mode. An elementary process of randomization of disturbances is also explained by the results that the smaller mode is amplified where a low frequency mode is remarkably produced by the two excited modes.
- Publication:
-
Tokyo University Institute of Space and Aeronautical Science Report
- Pub Date:
- December 1978
- Bibcode:
- 1978TUASR..43..289I
- Keywords:
-
- Disturbances;
- Nonlinear Systems;
- Parallel Flow;
- Propagation Modes;
- Shear Flow;
- Transition Flow;
- Boundary Value Problems;
- Flat Plates;
- Flow Distortion;
- Fourier Series;
- Low Frequencies;
- Navier-Stokes Equation;
- Random Processes;
- Reynolds Stress;
- Steady Flow;
- Vorticity Equations;
- Fluid Mechanics and Heat Transfer