"Mathematical simulation of gravitational liquid film flow on a vertical surface with fins"
Butusov O.B., Zhileikin Ya.M., Kukarkin A.B., Nikifiorova O.P.

The process of liquid film flow on a vertical surface with fins is simulated; we consider the case of two-dimensional laminar steady flow. A boundary value problem for the flow equation is solved numerically by Galerkin's method, which allows us to find the values that characterize the flow: the flow rate, the average flow velocity, the density of irrigation, and the Reynolds criterion. The formulas for the average thickness of the film are obtained.

Keywords: mathematical simulation, film flow, Reynolds criterion, Poisson equation, Galerkin's method

Butusov O.B., e-mail: butusov-1@mail.ru; – Moscow State University of Mechanical Engineering; ulitsa Bol’shaya Semenovskaya 38, Moscow, 107023, Russia
Zhileikin Ya.M., e-mail: jam@srcc.msu.ru;   Kukarkin A.B., e-mail: jam@srcc.msu.ru; – Research Computing Center, Lomonosov Moscow State University; Leninskiye Gory, Moscow, 119991, Russia
Nikifiorova O.P., e-mail: olga.nikiforova2013@yandex.ru – State University of Management, Ryazanskii prospekt 99, Moscow, 109542, Russia