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Vol. 25 No. 42 (2016)

Papers

Comparative study of fluid flow across orifice plate using Stokes and Navier-Stokes equations

https://doi.org/10.19053/01211129.4633

Published 2016-05-03

  • Miryam Lucía Guerra-Mazo
    • ,
  • María Vilma García-Buitrago
    • ,
  • Elizabeth Rodríguez-Acevedo

Miryam Lucía Guerra-Mazo
Instituto Tecnológico Metropolitano (Medellín – Antioquia, Colombia).

María Vilma García-Buitrago
Instituto Tecnológico Metropolitano (Medellín – Antioquia, Colombia).

Elizabeth Rodríguez-Acevedo
Instituto Tecnológico Metropolitano (Medellín – Antioquia, Colombia).

Abstract

This paper presents the results of a comparison between Stokes and Navier-Stokes equations, in order to simulate the flow of liquid water at atmosferic conditions, through a concentric orifice plate. From experimental data taken from the fluids bank, the simulations of both equations were evaluated, using free software Freefem++CS, which is based on the finite elements method. The evaluated variables are velocity and pression in a time interval. When analyzing the results obtained with the simulations and comparing them with the experimental data, it was found that the Navier-Stokes equations represent better the system, than the Stokes equation.

Keywords

mathematical model, orifice plate, simulation, Stokes and Navier-Stokes equations

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