2013 1(12)

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Nakoryakov V.E.1, Ostapenko V.V.2, Bartashevich M.V.1,3

1 Institute of Thermophysics SB RAS, Novosibirsk, Russia
2 Lavrentyev Institute of Hydrodynamics SB RAS, Novosibirsk, Russia
3 Novosibirsk State University, Novosibirsk, Russia


Nakoryakov, V.E., Ostapenko, V.V. and Bartashevich, M.V., (2013) Roll waves on vertical falling liquid film, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(12), PP. 189 - 193.


roll waves; continuous and discontinuous solutions; heat- and mass-transfer; film condensation and evaporation


The mathematical model of thin liquid film flowing down a vertical wall in the roll-wave regime is considered taking into account heat and mass transfer through the interface. The families of continuous and discontinuous solutions, where the progressive waves are conjugated with each other or with the “residual” film thickness through the strong and weak discontinuities, have been constructed. These solutions qualitatively simulate the condensing and evaporating liquid film flowing down a vertical heat transfer surface. In spite of the large number of the theoretical and experimental studies devoted to different types and regimes of film flows (for example, rivulet flows, film flows in co-current gas flow, film flows on structured surfaces), the physics of wave formation on the surface of thin liquid layers is investigated insufficiently. In particular, the hydrodynamics of film flows with the heat and mass transfer through the liquid-gas interface is still poorly understood. In this paper we consider the model problem of thin liquid film flowing down a vertical wall in the roll-wave regime involving heat and mass transfer through the interface. The families of discontinuous and continuous solutions of the roll-wave equation have been constructed.


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