Abstract
Linear stability and nonlinear dynamics of an interface between two stratified viscous layers are studied. Both layers are extremely thin, so that the gravitational effects are negligible. The flow is driven by unretarded London–van der Waals forces (long-range molecular forces), which tend the layers to rupture. Thermocapillarity is applied as a means to retard or prevent the rupture process. The nonlinear flow developments leading toward rupture are examined by integrating a long-wave evolution equation with a fully implicit finite-difference method with second-order time accuracy.
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