Rayleigh-Taylor instability in a thin film bounded by a porous layer. (English) Zbl 0919.76027
Summary: The Rayleigh-Taylor stability in a finite thickness layer of a viscous fluid bounded below by a densely packed thick porous layer and above by a rigid surface has been studied analytically by using linear analysis and lubrication and Stokes approximations. It is shown that the linear stability curve is controlled by the slip parameter and the thickness of fluid layer, while its shape is controlled by the ratio of surface tension to normal stress.
MSC:
76E17 | Interfacial stability and instability in hydrodynamic stability |
76E99 | Hydrodynamic stability |
76S05 | Flows in porous media; filtration; seepage |