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Num. Meth. Prog., 2013, Volume 14, Issue 3, Pages 419–423 (Mi vmp131)  

Вычислительные методы и приложения

Mathematical simulation of gravitational liquid film flow on a vertical surface with fins

O. B. Butusova, Ya. M. Zhileikinb, A. B. Kukarkinb, O. P. Nikifiorovac

a Moscow State University of Mechanical Engineering
b M.V. Lomonosov Moscow State University, Research Computing Center
c State University of Management, Moscow

Abstract: 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.

Full text: PDF file (151 kB)
UDC: 519.63:532.5
Received: 04.07.2013

Citation: O. B. Butusov, Ya. M. Zhileikin, A. B. Kukarkin, O. P. Nikifiorova, “Mathematical simulation of gravitational liquid film flow on a vertical surface with fins”, Num. Meth. Prog., 14:3 (2013), 419–423

Citation in format AMSBIB
\Bibitem{ButZhiKuk13}
\by O.~B.~Butusov, Ya.~M.~Zhileikin, A.~B.~Kukarkin, O.~P.~Nikifiorova
\paper Mathematical simulation of gravitational liquid film flow on a vertical surface with fins
\jour Num. Meth. Prog.
\yr 2013
\vol 14
\issue 3
\pages 419--423
\mathnet{http://mi.mathnet.ru/vmp131}


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