The existence and stability of quasi-steady periodic voidage waves in a fluidized bed
type: Item
instance of: scholarly article
title: The existence and stability of quasi-steady periodic voidage waves in a fluidized bed
zbMATH Open document ID: 0609.76040
DOI: 10.1007/BF00946754
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: The equations, considered by the authors in J. Fluid Mech. 131, 427-454 (1983; Zbl 0543.76130) for the time evolution of a one-dimensional voidage disturbance in an otherwise uniform gas fluidized bed, are further investigated for the existence of the quasi-steady periodic solutions and then their uniformly valid expansions are obtained. Hopf bifurcation theorem with propagation speed as the bifurcation parameter is used for the analysis. The temporal stability of the quasi-steady solutions is also considered.
Mathematics Subject Classification ID: 76E20
Mathematics Subject Classification ID: 76S05
zbMATH DE Number: 3986875
zbMATH Keywords: one-dimensional voidage disturbance
zbMATH Keywords: uniform gas fluidized bed
zbMATH Keywords: existence
zbMATH Keywords: quasi-steady periodic solutions
zbMATH Keywords: Hopf bifurcation theorem
zbMATH Keywords: bifurcation parameter
zbMATH Keywords: temporal stability
zbMATH Keywords: quasi-steady solutions
author: David J. Needham
author: J. H. Merkin
MaRDI profile type: Publication
cites work: The propagation of a voidage disturbance in a uniformly fluidized bed
cites work: Q4151274
cites work: Instability waves and the origin of bubbles in fluidized beds—II Comparison with theory
cites work: Instability waves and the origin of bubbles in fluidized beds
cites work: On the mathematics of fluidization Part 1. Fundamental equations and wave propagation
cites work: Q3207313
cites work: Q3895284
cites work: Q5682682
full work available at URL: https://doi.org/10.1007/bf00946754
OpenAlex ID: W2029678393
description: scientific article; zbMATH DE number 3986875