Nonlinear dynamics of a convection loop: A quantitative comparison of experiment with theory
type: Item
instance of: scholarly article
title: Nonlinear dynamics of a convection loop: A quantitative comparison of experiment with theory
zbMATH Open document ID: 0588.76094
DOI: 10.1016/0167-2789(86)90022-9
author: B. George
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: The flow in a loop of fluid, heated at constant flux over the bottom half and cooled at constant temperature over the top half, is shown to be qualitatively and quantitatively described by the nonlinear dynamics of the Lorenz model over a wide range of parameters encompassing three different chaotic flow regimes. The boundaries of the five flow regimes are determined experimentally and compared with a scaling relationship which relates the physical parameters of the loop and working fluid to the parameters of the Lorenz model. The characteristics of the three chaotic flow regimes are also discussed.
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76R99
Mathematics Subject Classification ID: 82D15
Mathematics Subject Classification ID: 70-08
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 3945699
zbMATH Keywords: thermal convection loop
zbMATH Keywords: low-dimensional chaotic attractors
zbMATH Keywords: flow in a loop of fluid
zbMATH Keywords: nonlinear dynamics of the Lorenz model
zbMATH Keywords: three different chaotic flow regimes
zbMATH Keywords: scaling
Wikidata QID: Q60163811
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90022-9
OpenAlex ID: W2080670027
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description: scientific article; zbMATH DE number 3945699