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Mathematical Modeling and Simulation of a Gas Emission Source Using the Network Simulation Method

Author

Listed:
  • Juan Francisco Sánchez-Pérez

    (Department of Applied Physics and Naval Technology, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, Spain)

  • María Rosa Mena-Requena

    (Department of Applied Physics and Naval Technology, Universidad Politécnica de Cartagena (UPCT), 30202 Cartagena, Spain)

  • Manuel Cánovas

    (Metallurgical and Mining Engineering Department, Universidad Católica del Norte, Antofagasta 1240000, Chile)

Abstract

A mathematical model for the simulation of the diffusion of the pollutants released from a point source is presented. All phenomena have been included, such as thermal and wind gradients, turbulence, fumigation, convective and diffusive effects, and atmospheric stabilities. To better understand the dynamics of these occurrences, the Network Simulation Method was used to provide the concentration of pollutants in three spatial coordinates. The model was simulated in open source software and validated with experimental data, satisfying the Hanna criteria. Additionally, this model selects for the appropriate expressions based on the physical phenomena that govern each case and allows for time-dependent data entry. The cases studied show the great coupling that exists between the variables of wind velocity and atmospheric stability for the pollutant diffusion. The model can be used for two important aims, to identify the behavior of the emission of pollutants, and to determine the concentration of a pollutant at various points, through an inverse problem, locating the source of the emission.

Suggested Citation

  • Juan Francisco Sánchez-Pérez & María Rosa Mena-Requena & Manuel Cánovas, 2020. "Mathematical Modeling and Simulation of a Gas Emission Source Using the Network Simulation Method," Mathematics, MDPI, vol. 8(11), pages 1-18, November.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:11:p:1996-:d:441940
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    References listed on IDEAS

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    1. Pramila Goyal & Anikender Kumar, 2011. "Mathematical Modeling of Air Pollutants: An Application to Indian Urban City," Chapters, in: Dragana Popovic (ed.), Air Quality - Models and Applications, IntechOpen.
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    Cited by:

    1. Pérez Albornoz, C. & Escalante Soberanis, M.A. & Ramírez Rivera, V. & Rivero, M., 2022. "Review of atmospheric stability estimations for wind power applications," Renewable and Sustainable Energy Reviews, Elsevier, vol. 163(C).
    2. Gonzalo García-Ros & Juan Francisco Sánchez-Pérez & Julio Valenzuela & Manuel Conesa & Manuel Cánovas, 2022. "A Network Model for Electroosmotic and Pressure-Driven Flow in Porous Microfluidic Channels," Mathematics, MDPI, vol. 10(13), pages 1-19, July.
    3. Chunli Huang & Xu Zhao & Weihu Cheng & Qingqing Ji & Qiao Duan & Yufei Han, 2022. "Statistical Inference of Dynamic Conditional Generalized Pareto Distribution with Weather and Air Quality Factors," Mathematics, MDPI, vol. 10(9), pages 1-25, April.

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