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

M.G. Blyth, A.P. Bassom

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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.
Original languageEnglish
Pages (from-to)R13
Number of pages12
JournalJournal of Fluid Mechanics
Publication statusPublished - 1 Feb 2013


  • core-annular flow
  • interfacial flows (free surface)
  • multiphase and particle-laden flows

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