Journal ArticleDOI
Noise-sustained structure in Taylor-Couette flow with through flow
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TLDR
Experimental and theoretical results for the absolute and convective instability boundaries in Taylor-Couette flow with imposed axial flow as a function of the axial Reynolds number confirm that noise-sustained structures of traveling vortices exist in much of the convective unstable regime.Abstract:
We report experimental and theoretical results for the absolute and convective instability boundaries in Taylor-Couette flow with imposed axial flow as a function of the axial Reynolds number. Experiment and theory agree quantitatively. In the downstream region of a large-aspect-ratio system, noise-sustained structures of traveling vortices exist in much of the convectively unstable regime. These structures have a nearly time-independent amplitude, but a noisy phase. The phase noise ceases abruptly upon crossing the absolute instability boundary.read more
Citations
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Pattern formation outside of equilibrium
Michael Cross,P. C. Hohenberg +1 more
TL;DR: A comprehensive review of spatiotemporal pattern formation in systems driven away from equilibrium is presented in this article, with emphasis on comparisons between theory and quantitative experiments, and a classification of patterns in terms of the characteristic wave vector q 0 and frequency ω 0 of the instability.
Journal ArticleDOI
Front propagation into unstable states
TL;DR: In this paper, the authors present an introductory review of the problem of front propagation into unstable states, which is centered around the concept of the asymptotic linear spreading velocity v ∗, the rate with which initially localized perturbations spread into an unstable state according to the linear dynamical equations obtained by linearizing the fully nonlinear equations about the unstable state.
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Measurements of the primary instabilities of film flows
TL;DR: In this article, the authors measured the primary instabilities of thin liquid films flowing down an incline and determined the critical Reynolds number for the onset of waves as a function of angle,8.
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Front propagation into unstable states: universal algebraic convergence towards uniformly translating pulled fronts
Ute Ebert,Wim van Saarloos +1 more
TL;DR: In this article, it was shown that the velocity of a pulled front always relaxes algebraically like v. This front velocity is independent of the precise value of the front amplitude, which one tracks to measure the front position.
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Stability of axial flow in an annulus with a rotating inner cylinder
TL;DR: In this paper, a wide range of flow regimes of toroidal vortices were identified, including Taylor Vortices, random wavy vortice, modulated wavy Vectors, turbulent modulated WAVV, turbulent wavyVectors and turbulent vectors with positive and negative helix angles.
References
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Journal ArticleDOI
Noise-sustained structure, intermittency, and the Ginzburg-Landau equation
TL;DR: In this paper, the time-dependent generalized Ginzburgland-landau equation is studied in the presence of low-level external noise and it is found that themicroscopic noise plays an important role in themacroscopic dynamics of the system, in which the random nature of the external noise plays a crucial role.
Journal ArticleDOI
Noise-sustained structure, intermittency, and the Ginzburg-Landau equation
TL;DR: In this article, the time-dependent generalized Ginzburgland-landau equation is studied in the presence of low-level external noise and it is found that themicroscopic noise plays an important role in themacroscopic dynamics of the system, in which the random nature of the external noise plays a crucial role.
Journal ArticleDOI
The stability of a viscous fluid between rotating cylinders with an axial flow
TL;DR: In this article, the stability of a viscous fluid between two concentric rotating cylinders with an axial flow was investigated and the critical Taylor number was computed for small Reynolds number associated with the flow.
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A numerical and experimental investigation of the stability of spiral Poiseuille flow
TL;DR: The linear stability of the spiral motion induced between concentric cylinders by an axial pressure gradient and independent cylinder rotation is studied numerically and experimentally for a wide gap geometry as mentioned in this paper.
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Experiments on the Stability of Spiral Flow at Low Axial Reynolds Numbers
TL;DR: In this paper, the hydrodynamic stability of viscous flow between rotating cylinders with superposed axial flow has been studied experimentally and the results compare satisfactorily with Chandrasekhar's perturbation theory valid under these conditions.