A NUMERICAL STUDY OF SUBSTANCE SPREAD IN THE POLL FROM TWO POINT SOURCES

  • Nurcahya Yulian Ashar Department of Mathematics, Faculty of Sciences and Mathematics, Universitas Diponegoro, Indonesia
  • Susilo Hariyanto Department of Mathematics, Faculty of Sciences and Mathematics, Universitas Diponegoro, Indonesia
DOI: https://doi.org/10.30598/barekengvol17iss1pp0009-0020
Keywords: Dual reciprocity method, k-epsilon, turbulent model, diffution-convection model, modified Navier-Stokes equation

Abstract

Problems related to the purification of holding pool or reservoir become an interesting discussion in real events. In this paper, the author will modeling the distribution of the substance/purifier in a pool model with turbulent water flow using the diffusion-convection equation. The Dual Reciprocity Method is applied to the diffusion-convection equation whose derivation will be discussed in this paper. This method is chosen because the problem cannot be solved analytically, so it must be solved numerically. The Dual Reciprocity Method has good flexibility in problems of water infiltration, pollutant spread, and heat transfer. In this paper also discuss velocity profile of turbuelent flow from upcoming part of pool region. So before using DRM, will be used numerical solution of turbulent flow by k-epsilon turbulent model. In numerical calculations, two source points are selected whose positions are combined to see the most effective way to make the substance/purifier evenly distributed in the pool.  

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Published
2023-04-15
How to Cite
[1]
N. Ashar and S. Hariyanto, “A NUMERICAL STUDY OF SUBSTANCE SPREAD IN THE POLL FROM TWO POINT SOURCES”, BAREKENG: J. Math. & App., vol. 17, no. 1, pp. 0009-0020, Apr. 2023.
Issue
Vol 17 No 1 (2023): BAREKENG: Journal of Mathematics and Its Applications
Section
Articles

Copyright (c) 2023 Nurcahya Yulian Ashar, Susilo Hariyanto

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