Nonlinear adjustment of a thin annular film of viscous fluid surrounding a thread of another within a circular cylindrical pipe. (English) Zbl 0571.76046
(From author’s summary.) A nonlinear analysis, based on lubrication theory, is presented for the adjustment under surface tension of an initially uniform annular film of viscous fluid confined within a circular cylindrical pipe. The film surrounds a thread of another viscous fluid. Small axisymmetric interfacial disturbances of sufficiently long wavelength are found to grow, leading to the break-up of the initially continuous outer film into a number of isolated rings of fixed length on the pipe wall.
Reviewer: J.Prakash
MSC:
| 76E30 | Nonlinear effects in hydrodynamic stability |
| 76D99 | Incompressible viscous fluids |
| 76T99 | Multiphase and multicomponent flows |
Keywords:
nonlinear analysis; lubrication; adjustment; surface tension; initially uniform annular film; circular cylindrical pipe; thread; axisymmetric interfacial disturbancesReferences:
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