Journal ArticleDOI
A note on the relation between temporally-increasing and spatially-increasing disturbances in hydrodynamic stability
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TLDR
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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Linear waves at a surfactant-contaminated interface separating two fluids: Dispersion and dissipation of capillary-gravity waves
TL;DR: In this article, two-dimensional linear waves at a contaminated interface separating two infinitely deep fluids of arbitrary densities and viscosities are investigated. And the authors derive an operational approximate formula for the temporal decay rate of the CG-waves.
Dissertation
Investigation of transition to turbulence at low Reynolds numbers using Implicit Large Eddy Simulations with a Discontinuous Galerkin method
TL;DR: Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Aeronautics and Astronautics, February 2011 as mentioned in this paper, Boston, Massachusetts, USA
Journal ArticleDOI
On the Breakup of Viscous Liquid Sheets by Dual-Mode Linear Analysis
TL;DR: In this paper, the effect of various parameters, such as the Reynolds number, Weber number, density ratio, velocity ratio, and the phase angle between the two modes, on the breakup characteristics of planeviscous liquid sheets moving in a gas stream has been investigated.
Journal ArticleDOI
Transient and steady drift currents in waves damped by surfactants
TL;DR: In this article, the Lagrangian mean drift induced by spatially damped capillary-gravity waves on a surface covered by an elastic film was analyzed with a typical laboratory setup, and explicit solutions for both transient and steady horizontal drift velocities were given.
Journal ArticleDOI
Instability of a thin viscous film flowing under an inclined substrate: steady patterns
TL;DR: In this article, the authors measured experimentally spatial growth rates and compared them to the linear stability analysis of a flat film modelled by the lubrication equation, showing overall a very good agreement.
References
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Journal ArticleDOI
Calculated Amplified Oscillations in the Plane Poiseuille and Blasius Flows
Journal ArticleDOI
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.