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Stability of surfactant-laden core-annular flow and rod-annular flow to non-axisymmetric modes

Citation

Blyth, MG and Bassom, AP, Stability of surfactant-laden core-annular flow and rod-annular flow to non-axisymmetric modes, Journal of Fluid Mechanics, 716 Article R13. ISSN 0022-1120 (2013) [Refereed Article]

Copyright Statement

Copyright Cambridge University Press 2013

DOI: doi:10.1017/jfm.2012.615

Abstract

The linear stability of coreľannular fluid arrangements are considered in which two concentric viscous fluid layers occupy the annular region within a straight pipe with a solid rod mounted on its axis when the interface between the fluids is coated with an insoluble surfactant. The linear stability of this arrangement is studied in two scenarios: one for coreľannular flow in the absence of the rod and the second for rodľannular flow when the rod moves parallel to itself along the pipe axis at a prescribed velocity. In the latter case the effect of convective motion on a quiescent fluid configuration is also considered. For both flows the emphasis is placed on non-axisymmetric modes; in particular their impact on the recent stabilization to axisymmetric modes at zero Reynolds number discovered by Bassom, Blyth and Papageorgiou (J. Fluid. Mech., vol. 704, 2012, pp. 333ľ359) is assessed. It is found that in general non-axisymmetric disturbances do not undermine this stabilization, but under certain conditions the flow may be linearly stable to axisymmetric disturbances but linearly unstable to non-axisymmetric disturbances.

Item Details

Item Type:Refereed Article
Keywords:core-annular flow, interfacial flows (free surface), multiphase and particle-laden flows
Research Division:Mathematical Sciences
Research Group:Applied Mathematics
Research Field:Theoretical and Applied Mechanics
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Mathematical Sciences
Author:Bassom, AP (Professor Andrew Bassom)
ID Code:105595
Year Published:2013
Web of Science® Times Cited:2
Deposited By:Mathematics and Physics
Deposited On:2016-01-08
Last Modified:2016-07-06
Downloads:0

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