Journal ArticleDOI
The effects of gravity modulation on the stability of a heated fluid layer
P. M. Gresho,R. L. Sani +1 more
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In this paper, the stability of a horizontal layer of fluid heated from above or below is examined for the case of a time-dependent buoyancy force which is generated by shaking the fluid layer, thus causing a sinusoidal modulation of the gravitational field.Abstract:
The stability of a horizontal layer of fluid heated from above or below is examined for the case of a time-dependent buoyancy force which is generated by shaking the fluid layer, thus causing a sinusoidal modulation of the gravitational field. A linearized stability analysis is performed to show that gravity modulation can significantly affect the stability limits of the system. In this analysis, much emphasis is placed on qualitative results obtained by an approximate solution, which permits a rather complete stability analysis. A useful mechanical analogy is developed by considering the effects of gravity modulation on a simple pendulum. Finally, some effects of finite amplitude flows are considered and discussed.read more
Citations
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Thermal convection in an enclosure due to vibrations aboard spacecraft
TL;DR: In this article, the effect of spacecraft vibrations on thermal convection in an enclosure induced by spacecraft vibrations (#-jitter) has been investigated and its implications on materials processing in space are discussed.
Journal ArticleDOI
General soliton solutions for nonlinear dispersive waves in convective type instabilities
TL;DR: In this article, the two-dimensional Ginzburg-landau equation (GLE) was obtained from basic equations by a linear stability analysis, and the soliton solution classes to the elliptic and hyperbolic GLE were obtained by applying the function transformation method.
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Bénard convection with time‐periodic heating
TL;DR: In this article, a thin liquid layer is modulated sinusoidally in time with amplitude δ, which produces a range of stable hexagons near the critical Rayleigh number.
Journal ArticleDOI
Global stability of time-dependent flows: impulsively heated or cooled fluid layers
TL;DR: In this article, the stability of time-dependent diffusive temperature profiles in fluid layers subject to impulsive changes in surface temperature is discussed. Butler et al. used the method of energy to discuss the stability and the interpretation of these regions.
References
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Journal ArticleDOI
The stability of the plane free surface of a liquid in vertical periodic motion
Thomas Brooke Benjamin,F. Ursell +1 more
TL;DR: In this article, the stability of the plane free surface is investigated theoretically when the vessel is a vertical cylinder with a horizontal base, and the liquid is an ideal frictionless fluid making a constant angle of contact of 90° with the walls of the vessel.
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Effect of modulation on the onset of thermal convection
TL;DR: In this paper, the stability of a horizontal layer of fluid heated from below is examined when, in addition to a steady temperature difference between the walls of the layer, a time-dependent sinusoidal perturbation is applied to the wall temperatures.
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Experiments on the Stability of Viscous Flow Between Rotating Cylinder. III. Enhancement of Stability by Modulation
TL;DR: In this article, the onset of instability in Couette flow can be inhibited by modulating the rate of rotation of the inner cylinder of the Couette, and the origin of the inhibition has been shown experimentally to be due to the viscous wave propagated across the annulus by the modulated cylinder.