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

Authors

  • O.B. Butusov
  • Ya.M. Zhileikin
  • O.P. Nikifiorova
  • A.B. Kukarkin

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.

New computational technologies

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Published

2013-10-11

Issue

Vol. 14 (2013): Issue 3.

Section

Section 1. Numerical methods and applications

Author Biographies

O.B. Butusov

Moscow Polytechnic University
• Head of Department

Ya.M. Zhileikin

Lomonosov Moscow State University,
Research Computing Center
• Head of Laboratory

O.P. Nikifiorova

State University of Management
• Associate Professor

A.B. Kukarkin

Lomonosov Moscow State University,
Research Computing Center
• Senior Researcher

References

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