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In Water Distribution Networks (WDN), the water quality could become vulnerable due to several operational and temporal factors. Epanet is a hydraulic and water quality simulation software, widely used, to preserve the control of chemical disinfectants in WDN among other capabilities. Several researchers have shown that the flow mixing at Cross-Junctions (CJs) is not complete as Epanet assumes for the cases of two contiguous inlets and outlets. This paper presents a methodology to obtain the outlet concentrations in CJs based on experimental scenarios and a validated Computational Fluid Dynamics (CFD) model. In this work, the results show that the Incomplete Mixing Model (IMM) based on polynomial equations, represents in a better way the experimental scenarios. Therefore, the distribution of the concentration could be in different proportions in some sectors of the network. Some comparisons were made with the complete mixing model and the Epanet-Bulk Advective Mixing (BAM), obtaining relative errors of 90% in some CJs.
Daniel Hernández Cervantes; P. López-Jiménez; José Nevárez; Xitlali Delgado Galván; Martín Jiménez Magaña; Modesto Pérez-Sánchez; José De Jesús Mora Rodríguez. Incomplete Mixing Model at Cross-Junctions in Epanet by Polynomial Equations. Water 2021, 13, 453 .
AMA StyleDaniel Hernández Cervantes, P. López-Jiménez, José Nevárez, Xitlali Delgado Galván, Martín Jiménez Magaña, Modesto Pérez-Sánchez, José De Jesús Mora Rodríguez. Incomplete Mixing Model at Cross-Junctions in Epanet by Polynomial Equations. Water. 2021; 13 (4):453.
Chicago/Turabian StyleDaniel Hernández Cervantes; P. López-Jiménez; José Nevárez; Xitlali Delgado Galván; Martín Jiménez Magaña; Modesto Pérez-Sánchez; José De Jesús Mora Rodríguez. 2021. "Incomplete Mixing Model at Cross-Junctions in Epanet by Polynomial Equations." Water 13, no. 4: 453.
Let G be a group, let H be a subgroup of G and let Or(G) be the orbit category. In this paper we extend the definition of the relative group homology the- ories of the pair (G, H) defined by Adamson and Takasu to have coefficients in an Or(G)-module. There is a canonical comparison homomorphism defined by Cisneros- Molina and Arciniega-Nevrez from Takasu’s theory to Adamson’s theory. We give a necessary and sufficient condition on the subgroup H for which the comparison homomorphism is an isomorphism for all coefficients. We also use the Lück-Wiermann construction to introduce a long exact sequence for Adamson homology. Finally, we provide some examples of explicit computations for the comparison homomorphism.
José Antonio Ariciniega-Nevárez; José Luis Cisneros-Molina; Luis Jorge Sánchez Saldaña. Relative group homology theories with coefficients and the comparison homomorphism. Quaestiones Mathematicae 2020, 1 -26.
AMA StyleJosé Antonio Ariciniega-Nevárez, José Luis Cisneros-Molina, Luis Jorge Sánchez Saldaña. Relative group homology theories with coefficients and the comparison homomorphism. Quaestiones Mathematicae. 2020; ():1-26.
Chicago/Turabian StyleJosé Antonio Ariciniega-Nevárez; José Luis Cisneros-Molina; Luis Jorge Sánchez Saldaña. 2020. "Relative group homology theories with coefficients and the comparison homomorphism." Quaestiones Mathematicae , no. : 1-26.