Inertial effects of the gas motion upon the linear and nonlinear waves in Kelvin-Helmholtz flow
Abstract
An investigation is made of the inertial effects of the gas motion upon the linear and nonlinear stability characteristics of the wave motion at the interface between a gas stream and a liquid. The analysis considers a body force directed towards the liquid as well as the effects of surface tension of the liquid. The liquid is assumed to be initially quiescent. The gas flow is considered to be subsonic. The treatment of the linear problem shows that the inertial effects of the gas motion lead to overstability. For the nonlinear problem, the Poincare-Lighthill-Kuo method is used to obtain solutions as perturbations about the neutrally-stable linear oscillation. Detailed discussion of solutions at various values of wave-numbers is given.
- Publication:
-
Archiv of Mechanics, Archiwum Mechaniki Stosowanej
- Pub Date:
- 1981
- Bibcode:
- 1981ArMeS..33..691S
- Keywords:
-
- Evaporative Cooling;
- Interface Stability;
- Kelvin-Helmholtz Instability;
- Liquid-Vapor Interfaces;
- Reentry Shielding;
- Gas Flow;
- Inertia;
- Interfacial Tension;
- Lighthill Method;
- Perturbation Theory;
- Stable Oscillations;
- Subsonic Flow;
- Transpiration;
- Wave Propagation;
- Fluid Mechanics and Heat Transfer