On the nonlinear interfacial instability of rotating core-annular flow
type: Item
instance of: scholarly article
title: On the nonlinear interfacial instability of rotating core-annular flow
zbMATH Open document ID: 0794.76040
DOI: 10.1007/BF00271423
author: Adrian V. Coward
author: Philip Hall
published in: Theoretical and Computational Fluid Dynamics
publication date: 1994-03-01T00:00:00Z
review text: This paper investigates the stability of the flow of two immiscible fluids of different viscosities and densities, flowing in a circular pipe in a concentric arrangement. The cylinder is allowed to rotate, and a constant axial pressure gradient is prescribed. The stability of the basic flow is considered by linear and weakly nonlinear methods. A detailed analysis is given of the case where the thickness of the outer ``ring'' of fluid is very small, by solving the equations for the velocity and pressure fields in the core and film regions, and then by deriving a nonlinear parabolic integro-differential evolution equation for disturbances to the interface between the two fluids. This evolution equation is solved numerically, and extensive results are provided.
Mathematics Subject Classification ID: 76E30
Mathematics Subject Classification ID: 76U05
Mathematics Subject Classification ID: 76V05
Mathematics Subject Classification ID: 76M25
zbMATH DE Number: 500672
zbMATH Keywords: two immiscible fluids
zbMATH Keywords: circular pipe
zbMATH Keywords: nonlinear parabolic integro- differential evolution equation
reviewed by: Brian Straughan
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf00271423
OpenAlex ID: W1987999368
description: scientific article; zbMATH DE number 500672