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ToolsBlyth, 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
Full text not available from this repository. (Request a copy)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 |
| UEA Research Groups: | Faculty of Science > Research Groups > Fluid and Solid Mechanics |
| Related URLs: | |
| Depositing User: | Pure Connector |
| Date Deposited: | 11 Nov 2013 14:08 |
| Last Modified: | 24 Oct 2022 05:00 |
| URI: | https://ueaeprints.uea.ac.uk/id/eprint/44368 |
| DOI: | 10.1017/jfm.2012.615 |
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