Journal ArticleDOI
A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability
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In this paper, the frequency and amplification rates for a disturbance growing with respect to time are compared with those of a spatially growing wave having the same wave number, and it is shown that the frequencies are equal to a high order of approximation.Abstract:
The frequency and amplification rates for a disturbance growing with respect to time are compared with those of a spatially-growing wave having the same wave-number. For small rates of amplification it is shown that the frequencies are equal to a high order of approximation, and that the spatial growth is related to the time growth by the group velocity.read more
Citations
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Suppression of the Kapitza instability in confined falling liquid films
TL;DR: In this article, the authors revisited the linear stability of a falling liquid film flowing through an inclined narrow channel in interaction with a gas phase, and found the gas to strongly stabilize the film, up to the point of fully suppressing the long-wave interfacial instability attributed to Kapitza.
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The stability of stratified jets
TL;DR: In this article, the authors studied the two dimensional linear instabilities of an incompressible, inviscid, density stratified, symmetric jet as a function of a width parameter, and showed that the maximum growth rate of temporal instability exponentially approaches that of the shear flow on either flank of the jet.
Dissertation
Breakup Process of Plane Liquid Sheets and Prediction of Initial Droplet Size and Velocity Distributions in Sprays
TL;DR: In this article, the authors investigated the breakup characteristics of plane liquid sheets in coowing gas streams by means of linear and nonlinear hydrodynamic instability analyses and found that sheet breakup occurs at half-wavelength intervals for sinuous and varicose modes of disturbance.
Journal ArticleDOI
Effect of dissipation and dispersion on slowly varying wavetrains
TL;DR: In this article, a kinematic model for disturbance wave motions slowly modulated in space and time is developed, which describes the effects of amplitude and frequency dispersion, modal dependence, flow inhomogeneities, dissipation, and high-order wave dispersion and diffusion.
Journal ArticleDOI
Effects of Nose Bluntness on Hypersonic Boundary-Layer Receptivity and Stability
TL;DR: In this paper, a high-speed laminar-to-turbulent transition over blunt bodies is studied and applied to a variety of aerodynamic applications. But it is not shown that beyond a critical value of the nose radius, the transition is not smooth.
References
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Journal ArticleDOI
Calculated Amplified Oscillations in the Plane Poiseuille and Blasius Flows
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On spatially-growing finite disturbances in plane Poiseuille flow
TL;DR: In this article, the Navier-Stokes equations are represented by finite disturbances in plane Poiseuille flow which vary with distance parallel to the bounding walls, and these solutions are based on infinitesimal disturbances which vary exponentially with distance (upstream or downstream) instead of with time.