Stability criteria for swirl flows with free surfaces
type: Item
instance of: scholarly article
title: Stability criteria for swirl flows with free surfaces
zbMATH Open document ID: 0646.76056
DOI: 10.1007/BF00945432
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 1986-01-01T00:00:00Z
review text: In this interesting paper the authors consider an infinitely long circular cylinder which rotates about its axis with a liquid film covering the rigid boundary either inside or outside. The surface tension between the liquid and the ambient gas is taken into account and the instabilities of this flow to centrifugal forces are investigated. Actually three types of instabilities may result, viz. centrifugal, capillary and Rayleigh-Taylor. If gravity is also considered and the cylinder lies horizontally a further mechanism of instability may occur. However in their paper the authors ignore gravity and focus their attention upon the first three types of instabilities. They generalize to interfacial systems the well-known Rayleigh criterion for stability- instability of inviscid fluids and the Synge's criterion for stability of viscous fluids.
Mathematics Subject Classification ID: 76E05
Mathematics Subject Classification ID: 76E17
Mathematics Subject Classification ID: 76E99
zbMATH DE Number: 4055240
zbMATH Keywords: infinitely long circular cylinder
zbMATH Keywords: rigid boundary
zbMATH Keywords: surface tension
zbMATH Keywords: Rayleigh criterion
zbMATH Keywords: stability-instability of inviscid fluids
zbMATH Keywords: Synge's criterion for stability of viscous fluids
author: Moses A. Boudourides
author: S. H. Davis
reviewed by: Fabio Rosso
MaRDI profile type: Publication
cites work: Rimming flow of liquid in a rotating cylinder
cites work: The instability of liquid surfaces when accelerated in a direction perpendicular to their planes. I
cites work: Centrifugal waves
cites work: Q4160941
cites work: Q4049706
full work available at URL: https://doi.org/10.1007/bf00945432
OpenAlex ID: W1985508995
description: scientific article; zbMATH DE number 4055240