On the conditions for resonance interactions of instability waves in the axisymmetric jet
Abstract
The conditions for resonance interaction between two instability waves in an axisymmetric jet were investigated. Considerations of the energy equation of the wave resulting from the interaction indicate that the phase angle between the wave-induced stresses and the wave-induced strains plays a crucial role in the resonance interaction. This fact is demonstrated experimentally by exciting a jet at fundamental and subharmonic frequencies. The phase angle between the waves stresses and strains was varied by varying the initial phase-difference between the two excitation waves. The subharmonic resonance was found to be highly dependent on this angle. Favorable agreement was found between the phase angles predicted by a nonlinear theory and the measured ones. The theory is used to explain the subharmonic's resonance in terms of the phase-angles.
- Publication:
-
NASA STI/Recon Technical Report N
- Pub Date:
- March 1989
- Bibcode:
- 1989STIN...8921196M
- Keywords:
-
- Flow Characteristics;
- Jet Flow;
- Resonant Frequencies;
- Turbulent Flow;
- Wave Interaction;
- Wave Propagation;
- Harmonic Excitation;
- Phase Modulation;
- Standing Waves;
- Stress Analysis;
- Fluid Mechanics and Heat Transfer