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

Authors

  • O.B. Butusov Moscow Polytechnic University
  • Ya.M. Zhileikin Lomonosov Moscow State University
  • O.P. Nikifiorova State University of Management
  • A.B. Kukarkin Lomonosov Moscow State University

Keywords:

mathematical simulation, film flow, Reynolds criterion, Poisson equation, Galerkin’s method

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.

Author Biographies

O.B. Butusov

Moscow Polytechnic University
• Head of Department

Ya.M. Zhileikin

O.P. Nikifiorova

State University of Management
• Associate Professor

A.B. Kukarkin

References

  1. Nusselt W. Die Oberflächen Kondensation des Wasserclampfes // Zeitschrift des Vereines Deutscher Ingenieure. 1916. 60, N 27. 541-546.
  2. Воронцов Е.Г., Тананайко Ю.М. Теплообмен в жидкостных пленках. Киев: Технiка, 1972.
  3. Канторович Л.В., Крылов В.И. Приближенные методы высшего анализа. М.-Л.: Физматгиз, 1962.
  4. Бахвалов Н.С., Жидков Н.П., Кобельков Г.М. Численные методы. М.: Наука, 1987.

Published

11-10-2013

How to Cite

Бутусов О.Б., Жилейкин Я.М., Никифорова О.П., Кукаркин А.Б. Mathematical Simulation of Gravitational Liquid Film Flow on a Vertical Surface With Fins // Numerical Methods and Programming (Vychislitel’nye Metody i Programmirovanie). 2013. 14. 419-423

Issue

Section

Section 1. Numerical methods and applications

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