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

Blyth, M.G. and Bassom, A.P. (2013) Stability of surfactant-laden core-annular flow and rod-annular flow to non-axisymmetric modes. Journal of Fluid Mechanics, 716. R13. ISSN 0022-1120

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Abstract

The linear stability of core-annular 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 core-annular flow in the absence of the rod and the second for rod-annular 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. 333-359) 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 Type: Article
Uncontrolled Keywords: core-annular flow,interfacial flows (free surface),multiphase and particle-laden flows
Faculty \ School: Faculty of Science > School of Mathematics
University of East Anglia > Faculty of Science > Research Groups > Fluid and Solid Mechanics
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Depositing User: Pure Connector
Date Deposited: 11 Nov 2013 14:08
Last Modified: 25 Jul 2018 08:50
URI: https://ueaeprints.uea.ac.uk/id/eprint/44368
DOI: 10.1017/jfm.2012.615

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