Journal ArticleDOI
A study of Taylor instability of superposed fluids
T. Amaranath,N. R. Rajappa +1 more
TLDR
In this article, a solution of hydrodynamic equations for the case of (Taylor) instability of the interface of two fluids of different but constant densities when accelerated from the heavier fluid to the lighter fluid is sought.Abstract:
A solution of hydrodynamic equations for the case of (Taylor) instability of the interface of two fluids of different but constant densities when accelerated from the heavier fluid to the lighter fluid is sought. After identifying the problem as one of singular perturbation, it is solved by the method of strained coordinates. A third order theory is presented. It is found that the ratio of the densities of the fluids has a significant effect on the stability or growth of the interface. Growth of the interface is found to depend also on the wave number and amplitude of initial disturbance. Stability criterion is calculated for different values of density ratio.read more
Citations
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Journal ArticleDOI
Buoyant instability of a viscous film over a passive fluid
David Canright,Stephen Morris +1 more
TL;DR: In this paper, the authors presented a method to identify the most important features of a given set of features in a set of images, and the article of record as published may be located at http://dx.doi.org/10.1017/S0022112093002514
Journal ArticleDOI
Nonlinear theory of taylor instability of superposed fluids for wavenumbers near the linear cut-off value
Journal ArticleDOI
Taylor instability of superposed fluids for wave numbers near linear cut-off wave number
TL;DR: In this article, a solution of the hydrodynamic equations for the case of (Taylor) instability of the interface of two fluids of different but constant densities when accelerated from the heavier fluid to the lighter one near the linear cut-off wave number is sought.
References
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Journal ArticleDOI
The Instability of Liquid Surfaces when Accelerated in a Direction Perpendicular to their Planes. I
TL;DR: In this article, it was shown that when two superposed fluids of different densities are accelerated in a direction perpendicular to their interface, this surface is stable or unstable according to whether the acceleration is directed from the heavier to the lighter fluid or vice versa.
Journal ArticleDOI
Effects of Surface Tension and Viscosity on Taylor Instability
Richard Bellman,R. H. Pennington +1 more
TL;DR: In this article, the authors considered the model of two fluids of infinite depth, with the interface initially in the form of a sine wave with amplitude small compared to wave length, and only the linear terms in the equations of hydrodynamics were used.
Journal ArticleDOI
Taylor instability of finite surface waves
TL;DR: In this paper, the instability of the accelerated interface between a liquid (methanol or carbon tetrachloride) and air has been investigated experimentally for approximate sinusoidal disturbances of wave-number range from well below to well above the cut-off.
Journal ArticleDOI
A New Approach to Thin Aerofoil Theory
TL;DR: In this paper, it was shown that the velocity field obtained by a straightforward expansion in powers of the disturbances, up to and including either the first or the second power, with coefficients functions of co-ordinates such that the leading edge is at the origin and the aerofoil chord is one of the axes, may be rendered a valid first approximation near the leading edges, as well as a valid second approximation away from it, if the whole field is shifted downstream parallel to the chord for a distance of half the leading-edge radius of curvature ρL.
Journal ArticleDOI
Taylor Instability of the Interface between Superposed Fluids -Solution by Successive Approximations
TL;DR: In this article, a solution of the hydrodynamical equations for the case of Taylor instability for two fluids of constant density is sought by the method of successive approximations.