We consider horizontal static liquid layers on planar solid boundaries and analyse their instabilities. The layers are either evaporating, when the plates are heated, or condensing, when the plates are cooled. Vapour recoil, thermocapillary, and rupture instabilities are discussed, along with the effects of mass loss (or gain) and non-equilibrium thermodynamic effects. Particular attention is paid to the development of dryout. We derive long-wave evolution equations for the interface shapes that govern the two-dimensional nonlinear stability of the layers subject to the above coupled mechanisms. These equations are analysed and their predictions discussed. Previous theoretical and experimental results are reviewed and compared with the present results. Finally, we discuss limitations of the modelling and extend our derivation to the case of three-dimensional disturbances.
To honor the memory of our friend and colleague Mikhail Ivanov a review of his great contributions to the understanding of the various phenomena associated with steady-flow shock wave reflection is presented. Of course, he has contributed much more widely than that, but I will restrict myself to this part of his work, because it is what I understand best. In particular, his computational and experimental demonstration of hysteresis in the transition between regular and Mach reflection, and his resolution of the difficulties associated with the triple point in weak Mach reflection in terms of the effects of viscosity and heat conduction are reviewed. Finally, some experimental results are presented that demonstrate that, in the dual-solution domain, Mach reflection is more stable than regular reflection.
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