

FLOW REGIME MAPS FOR THIN LIQUID FILM DESCRIBED BY NONHOMOGENIOUS ROLLWAVE EQUATION
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
Citation:
Nakoryakov, V.E., Ostapenko, V.V. and Bartashevich, M.V., (2014) Flow regime maps for thin liquid film described by nonhomogenious rollwave equation, Modern Science: Researches, Ideas, Results, Technologies, Iss. #1(14), PP. 89  94.

Keywords: flow regime maps; roll waves; continuous and discontinuous solutions; heat and masstransfer; film condensation and evaporation 
Abstracts:
In this paper we consider the mathematical model of thin liquid film flowing down a vertical wall in the rollwave 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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