Skip to main content Accessibility help
×
Home

Nonlinear stability of a liquid film adjacent to a supersonic stream

  • Ali Hasan Nayfeh (a1) and William S. Saric (a2)

Abstract

The nonlinear stability of a liquid film adjacent to a supersonic gas stream is investigated. The gas is assumed to exert a mean shear stress at the liquid/gas interface which in turn establishes a linear mean velocity profile in the liquid. The analysis takes into account the pressure perturbation exerted by the gas on the liquid assuming the disturbed gas motion to be inviscid and the mean gas velocity profile to be uniform. The problem is formulated within the long wave approximation, and solutions are obtained for finite amplitude waves by using the method of multiple scales. The results predict the existence of finite amplitude periodic waves, in qualitative agreement with recent experimental observations.

Copyright

References

Hide All
Bordner, G. L., Nayfeh, A. H. & Saric, W. S. 1973 Stability of a liquid film adjacent, to coinpressible streams. Virginia Polytech. Inst. Rep. no. E-73-3.
Chang, I. D. & Russell, P. E. 1965 Stability of a liquid adjacent to a high-speed gas stream. Phys. Fluids, 8, 1018.
Gater, R. L. & Lecuyer, M. R. 1969 A fundamental investigation of the phenomena that characterize liquid film cooling. Purdue University Rep. no. TM-69-1.
Gold, H. 1973 Surface fluid and boundary layer interaction aspects of transpiration cooled nose tip concepts. Air Force Materials Lab. Rep. no. TR-73-8.
Gold, H., Otis, J. H. & Schlier, R. E. Surface liquid film characteristics: an experimental study. A.I.A.A. Paper, no. 71-623.
Grabow, R. M. & White, C. O. 1972 A surface flow approach for predicting cross-hatch patterns. A.I.A.A. Paper, no. 72-718.
Inger, O. R. 1971 Compressible boundary layer flow past a swept wavy wall with heat transfer and ablation. Astronautics Acta, 16, 325.
Marshall, B. w. 1971 An experimental investigation of a liquid film on a horizontal flat plate in a supersonic gas stream. Ph.D. thesis, Oklahoma State University, Still-water, Oklahoma.
Nachtshieim, P. R. 1970 Stability of cross-hatched wave patterns in thin liquid films adjacent to supersonic streams. Phys. Fluid, 13, 2432.
Nayfeh, A. H. 1973 Perturbation Methods. Interscience.
Nayfeh, A. H. & Saric, W. S. 1971a Nonlinear Kelvin-Helmholtz instability. J. Fluid Mech. 46, 209.
Nayfeh, A. H & Saric, W. S. 1971b Stability of a liquid film. A.I.A.A. J. 9, 750.
Saric, W. S. & Marshall, B. W. 1971 An experimental investigation of the stability of a thin liquid layer adjacent to a supersonic stream. A.I.A.A. J. 9, 1546.
Saric, W. S., Nayfeh, A. H. & Bordner, G. L. 1973 Stability of liquid films interacting with supersonic streams: theory and experiment. Xandia Lab. Res. Rep. no. SLA-73-0165.
MathJax
MathJax is a JavaScript display engine for mathematics. For more information see http://www.mathjax.org.

Nonlinear stability of a liquid film adjacent to a supersonic stream

  • Ali Hasan Nayfeh (a1) and William S. Saric (a2)

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 0 *
Loading metrics...

Abstract views

Total abstract views: 0 *
Loading metrics...

* Views captured on Cambridge Core between <date>. This data will be updated every 24 hours.

Usage data cannot currently be displayed