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

Mathematics ◽  
2020 ◽  
Vol 8 (11) ◽  
pp. 1996
Author(s):  
Juan Francisco Sánchez-Pérez ◽  
María Rosa Mena-Requena ◽  
Manuel Cánovas

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.

2021 ◽  
Vol 60 (5) ◽  
pp. 4627-4637
Author(s):  
Juan Francisco Sánchez-Pérez ◽  
Carlos Mascaraque-Ramírez ◽  
Jose Andrés Moreno Nicolás ◽  
Enrique Castro ◽  
Manuel Cánovas

2019 ◽  
Author(s):  
P. Bruna ◽  
R. Prabhakaran ◽  
G. Bertotti ◽  
J. Straubhaar ◽  
R. Plateaux ◽  
...  

2003 ◽  
Vol 125 (6) ◽  
pp. 1178-1183 ◽  
Author(s):  
F. Alhama ◽  
J. Zueco and ◽  
C. F. Gonza´lez Ferna´ndez

This work addresses unsteady heat conduction in a plane wall subjected to a time-variable incident heat flux. Three different types of flux are studied (sinusoidal, triangular and step waveforms) and constant thermal properties are assumed for simplicity. First, the direct heat conduction problem is solved using the Network Simulation Method (NSM) and the collection of temperatures obtained at given instants is modified by introducing a random error. The resulting temperatures act as the input data for the inverse problem, which is also solved by a sequential approach using the NSM in a simple way. The solution is a continuous piece-wise function obtained step by step by minimizing the classical functional that compares the above input data with those obtained from the solution of the inverse problem. No prior information is used for the functional forms of the unknown heat flux. A piece-wise linear stretches of variable slope and length is used for each of the stretches of the solution. The sensitivity of the functional versus the slope of the line, at each step, is acceptable and the complete piece-wise solution is very close to the exact incident heat flux in all of the mentioned waveforms.


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