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

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


Nakoryakov, V.E., Ostapenko, V.V. and Bartashevich, M.V., (2014) Flow regime maps for thin liquid film described by nonhomogenious roll-wave equation, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(14), PP. 89 - 94.


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


In this paper we consider the mathematical model of thin liquid film flowing down a vertical wall in the roll-wave regime at heat and mass transfer through the interface. The families of continuous and discontinuous solutions of nonhomogeneous rolling wave equation are presented. These exact generalized solutions describe the time evolution of the rolling waves. The flow regime maps of the film flowing down a vertical heat transfer surface are suggested. In a particular case, these solutions describe the formation of droplets of finite amplitude from small perturbations on the surface of evaporating liquid film.


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