Stability of liquid films adjacent to compressible streams

Bordner, G.L.; Nayfeh, A. H.; Saric, William S.

doi:10.1007/bf01596080

Cited by 6 publications

(8 citation statements)

References 16 publications

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“…For the case of laminar boundary layers the results are similar to those of Bordner et al (1975). The comparison between the theory and the experiments is based on the maximum amplified waves.…”

Section: Results Of the Linear Model And Discussionsupporting

confidence: 68%

“…In this chapter, the governing equations are developed. The development of these equations folbws closely that of Bordner (1973) but the long-wave approximation has been abandoned in both the gas and the liquid phases.…”

Section: Formulation Of the Problemmentioning

confidence: 95%

“…Bordner, Nayfeh and Saric (1975) used the method of composite expansions Section 4.2) to analyze compressible, boundary-layer flows past wavy walls. When the wave amplitude is large enough to cause separation, the boundary-layer equations need to be solved numerically, as done by Fannelop and Flugge-Lotz (1963) and Polak et al (1975).…”

Section: Linear Gas Problemmentioning

confidence: 99%

“…Improvements over the work of Bordner et al (1975) include a numerical solution of the Orr-Sommerfeld equation (without any simplifying assumptions) and an improved solution of the gas equations. Also calculations are made for turbulent boundary layers.…”

Section: Linear Stability Analysismentioning

confidence: 99%

“…Bordner et al (1975) removed the restriction of small Reynolds numbers. They showed that including the effects of the mean-flow profile strongly changes the stability characteristics of the liquid film.…”

Section: Introductionmentioning

confidence: 99%

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Nonlinear wave interactions in supersonic wind-generated waves

Lekoudis¹

1982

The Physics of Fluids

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A nonlinear analysis is presented for the case of second-harmonic resonant interactions on the interface of a liquid film and a supersonic gas stream. The analysis takes into account the effects of the gas viscosity and mean profiles. Moreover, the extent of the gas disturbance layer is not restricted to the region in which the mean profiles are linear. Self-sustained oscillations are calculated for low and intermediate liquid Reynolds numbers. The present solution is compared with available experimental data. The predicted and observed wave amplitudes, wavenumbers, and frequencies are in good agreement for intermediate liquid Reynolds numbers. The calculated amplitudes overpredict the observed values by about a factor of three for low liquid Reynolds numbers.

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Section: Results Of the Linear Model And Discussionsupporting

confidence: 68%

Section: Formulation Of the Problemmentioning

confidence: 95%

Section: Linear Gas Problemmentioning

confidence: 99%

Section: Linear Stability Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Nonlinear wave interactions in supersonic wind-generated waves

Lekoudis¹

1982

The Physics of Fluids

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Instability of a film of viscous liquid under the influence of an adjacent gas flow

Chan¹,

Shkadov²

1979

Fluid Dyn

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

1976

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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.

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Stability of liquid films adjacent to compressible streams

Cited by 6 publications

References 16 publications

Nonlinear wave interactions in supersonic wind-generated waves

Nonlinear wave interactions in supersonic wind-generated waves

Instability of a film of viscous liquid under the influence of an adjacent gas flow

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

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