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

Authors

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

References

Nusselt W. Die Oberflächen Kondensation des Wasserclampfes // Zeitschrift des Vereines Deutscher Ingenieure. 1916. 60, N 27. 541-546.

Воронцов Е.Г., Тананайко Ю.М. Теплообмен в жидкостных пленках. Киев: Технiка, 1972.

Канторович Л.В., Крылов В.И. Приближенные методы высшего анализа. М.-Л.: Физматгиз, 1962.

Бахвалов Н.С., Жидков Н.П., Кобельков Г.М. Численные методы. М.: Наука, 1987.

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Published

2013-10-11

Issue

Section

Section 1. Numerical methods and applications

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