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Title: Transition from Simple Rotating Chemical Spirals to Meandering and Traveling Spirals

Abstract

Experiments on the Belousov-Zhabotinksy reaction unfold the bifurcation from simple (temporally periodic) rotating spirals to meandering (quasiperiodic) spirals in the neighborhood of a codimension-2 point. There are two types of meandering spirals, inward-petal (epicycloid) spirals and outward-petal (hypocycloid) spirals. These two types of meandering regimes are separated in the phase diagram by a line of traveling spirals that terminates at the codimension-2 point. The observations are in good accord with theory. {copyright} {ital 1996 The American Physical Society.}

Authors:
; ; ;  [1]
  1. Center for Nonlinear Dynamics and Department of Physics, The University of Texas at Austin, Austin, Texas 78712 (United States)
Publication Date:
OSTI Identifier:
383290
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 77; Journal Issue: 10; Other Information: PBD: Sep 1996
Country of Publication:
United States
Language:
English
Subject:
40 CHEMISTRY; CHEMICAL REACTION KINETICS; BIFURCATION; SPIRAL CONFIGURATION; ROTATION; TRAJECTORIES; PHASE DIAGRAMS; MOTION; TRAVELLING WAVES

Citation Formats

Li, G., Ouyang, Q., Petrov, V., and Swinney, H.L. Transition from Simple Rotating Chemical Spirals to Meandering and Traveling Spirals. United States: N. p., 1996. Web. doi:10.1103/PhysRevLett.77.2105.
Li, G., Ouyang, Q., Petrov, V., & Swinney, H.L. Transition from Simple Rotating Chemical Spirals to Meandering and Traveling Spirals. United States. doi:10.1103/PhysRevLett.77.2105.
Li, G., Ouyang, Q., Petrov, V., and Swinney, H.L. 1996. "Transition from Simple Rotating Chemical Spirals to Meandering and Traveling Spirals". United States. doi:10.1103/PhysRevLett.77.2105.
@article{osti_383290,
title = {Transition from Simple Rotating Chemical Spirals to Meandering and Traveling Spirals},
author = {Li, G. and Ouyang, Q. and Petrov, V. and Swinney, H.L.},
abstractNote = {Experiments on the Belousov-Zhabotinksy reaction unfold the bifurcation from simple (temporally periodic) rotating spirals to meandering (quasiperiodic) spirals in the neighborhood of a codimension-2 point. There are two types of meandering spirals, inward-petal (epicycloid) spirals and outward-petal (hypocycloid) spirals. These two types of meandering regimes are separated in the phase diagram by a line of traveling spirals that terminates at the codimension-2 point. The observations are in good accord with theory. {copyright} {ital 1996 The American Physical Society.}},
doi = {10.1103/PhysRevLett.77.2105},
journal = {Physical Review Letters},
number = 10,
volume = 77,
place = {United States},
year = 1996,
month = 9
}
  • No abstract prepared.
  • A transition from rotating chemical spirals to turbulence is observed in experiments on the Belousov-Zhabotinsky reaction. The transition occurs when the waves near the spiral tip spontaneously break, generating defects. Measurements reveal that this defect-mediated turbulence is caused by the Doppler effect on the traveling waves. The observations are in good accord with numerical simulations and theory. (c) 2000 The American Physical Society.
  • We report experiments and model simulations of patterns of parametrically excited capillary ripples in a large aspect-ratio cell with thin horizontal layer of viscous fluid subjected to sinusoidal vertical oscillations. We found stable rotating spirals with different topological charges in the parameter range where steady straight rolls were observed previously. Formation of multiarmed spirals via dislocations approaching a target core was observed. The direction of the spiral rotation depends on its chirality and is always consistent with wave propagation towards the core. Wave drift towards the spiral core is associated with the shear flow which is generated near the wallsmore » by rapidly decaying viscous surface waves. {copyright} {ital 1996 The American Physical Society.}« less
  • While there have been many studies of gravity-driven rivulet flow over an external surface, treatment of internal rivulets has been sparse. A notable exception is the analytical and experimental study by Anand and Bejan [1]; they derived an approximate solution for a laminar rivulet developing between two parallel vertical planes and employed it to examine the transition to a meandering flow. For rivulets flowing between closely spaced plates, the velocity becomes "slow" (i.e., "low" Reynolds number) and an approximately fully-developed flow at its terminal velocity can be reached in a short distance. Conceptually, this value can be derived from themore » analysis of Anand and Bejan. However, for cases where the inlet volumetric flow rate Q is sufficiently high that the rivulet becomes wide relative to the plate spacing, a simple treatment can describe the resulting flow.« less