FLUID FLOW MODELLING WITH FREE SURFACE

  • Anjeryan Sapta Pratama Department of Mathematics, Faculty of Mathematics and Science, Tanjungpura University
  • Evi Noviani Department of Mathematics, Faculty of Mathematics and Science, Tanjungpura University
  • Yudhi Yudhi Department of Mathematics, Faculty of Mathematics and Science, Tanjungpura University
DOI: https://doi.org/10.30598/barekengvol16iss4pp1147-1158
Keywords: incompressible, steady-state, irrotational

Abstract

Fluid is a substance that can flow in the form of a liquid or a gas. Based on the movement of the fluid is divided into static and dynamic fluids. This study discusses fluid dynamics, namely modelling fluid flow accompanied by a free surface and an obstacle in the fluid flow. Fluid modelling generally makes some basic assumptions into mathematical equations. The assumptions are incompressible, steady-state and irrotational. The steps to obtain a fluid flow model are using Newton’s second law, the law of conservation of mass, and the law of conservation of momentum to obtain the general Navier-Stokes equation, the designing the Euler free surface equation, the Bernoulli equation, then making a free surface representation and linearizing the wave equation so that it is obtained fluid flow model. The resulting mathematical model is a Laplace equation with boundary conditions in the fluid.

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Published
2022-12-15
How to Cite
[1]
A. Pratama, E. Noviani, and Y. Yudhi, “FLUID FLOW MODELLING WITH FREE SURFACE”, BAREKENG: J. Math. & App., vol. 16, no. 4, pp. 1147-1158, Dec. 2022.
Issue
Vol 16 No 4 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Section
Articles

Copyright (c) 2022 Anjeryan Sapta Pratama, Evi Noviani, Yudhi Yudhi

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