Experiments on the stability of liquid films adjacent to supersonic boundary layers

Author:

Saric William S.,Nayfeh Ali H.,Lekoudis Spyridon G.

Abstract

The stability of liquid films adjacent to supersonic streams was investigated experimentally and compared with analytical results. Linear theories predict that films adjacent ta supersonic streams are much more unstable than those adjacent to subsonic streams. However, our supersonic experimental observa-tions indicated that the liquid film was stable with no entrainment under all test conditions. These conditions included laminar and turbulent boundary layers, a variation in the liquid Reynolds number (based on flow rate) from 1 to 200 and a variation in the free-stream unit Reynolds number from 1.6 × 106 m−1 to 110.0 × 106 m−1. These experimental observations can be explained by nonlinear theories, which predict that linear unstable disturbances do not grow indefhitely but achieve steady-state amplitudes in the supersonic case. The different aspects of the observed wave behaviour such as frequency, wavelength and amplitude are discussed and compared with previous experimental observations and the nonlinear theories.

Publisher

Cambridge University Press (CUP)

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference15 articles.

1. Bordner, G. L. & Nayfeh, A. H. 1974 Nonlinear stability of a liquid film adjacent to a viscous supersonic stream.Tech. Rep. Virginia Polytech. Inst. & State Univ., Blacksburg, no. VPI-E-74–11.

2. Anderson, L. W. & Kendall, R. M. 1969 Boundary layer integral matrix procedure.Rep. Kirtland Air Force Base, New Mexico, no. AFWL-TR-69–114,vol. I, II.

3. Nayfer, A. H. & Saric, W. S. 1973 Nonlinear stability of a liquid film adjacent to a supersonic stream.J. Fluid Mech. 58,39.

4. Bordner, G. L. , Nayfeh, A. H. & Saric, W. S. 1975 Stability of liquid films adjacent to compressible streams.Z. angew. Math. Phys.,26,771.

5. Muir, J. F. & Trujillo, A. A. 1974 Comparison of boundary layer transition measure-ments obtained in two wind tunnel facilities.A.I.A.A. Paper, no. 74–626.

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