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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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A three-fluid model for the dissipation of interfacial capillary-gravity waves
TL;DR: In this paper, the authors derived analytic expressions for the dissipation rate of capillary-gravity waves in a setting comprising three fluids (an upper fluid of semi-infinite depth, a middle fluid-layer of finite thickness, and a lower fluid of semidefinite depth) separated by two distinct interfaces, which they consider to be elastic.
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Propulsive Efficiency of a Moving Airfoil at Transitional Low Reynolds Numbers
Jan Windte,Rolf Radespiel +1 more
TL;DR: In this article, an unsteady Reynolds-averaged Navier-Stokes simulations of the low Reynolds-number flow past an SD7003 airfoil with combined plunge and pitch motion at Re=60, 000 are presented in which transition takes place across laminar separation bubbles.
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Trends in Comprehensive Modeling of Spray Formation
TL;DR: In this article, the authors present a comprehensive modeling of spray formation in liquid fuel injectors, including internal hydrodynamics of fuel injector, break up of liquid sheet leading to primary and secondary atomization and prediction of size and velocity distributions of droplets in the spray.
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Automated method for transition prediction on wings in transonic flows
TL;DR: In this paper, the authors proposed a transition prediction method based on the use of a database of stability characteristics of a model three-dimensional compressible boundary layer, such as the dominant instability type, frequency of maximum amplie cation, and ampliecation rate.
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Secondary mean motions arising in a buoyancy induced flow
T. Audunson,Benjamin Gebhart +1 more
TL;DR: In this article, numerical calculations of the growth and non-linear interaction of two dimensional and transverse disturbances in a natural convection boundary layer flow adjacent to a vertical flat plate are presented.
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.