3D contaminant transport by GFEM with hexahedral elements |
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| Affiliation: | 1. Federal University of Itajubá, Advanced Campus of Itabira, Itabira-MG, Brazil;2. Thermal and Fluids Engineering Department, Mechanical Engineering Faculty, State University of Campinas, Campinas, SP, Brazil;1. Electrical Engineering Department, Faculty of Engineering, Menoufia University, 32511 Shebin Elkom, Egypt;2. Electrical Engineering Department, Umm Al-Qura University, Saudi Arabia, and he is on leave from Electrical Engineering Department, Faculty of Engineering, Menoufia University, 32511 Shebin Elkom, Egypt;3. Electrical Engineering Department, Taif University, Saudi Arabia, he is on leave from Electrical Engineering Department, Faculty of Engineering, Menoufia University, 32511 Shebin Elkom, Egypt |
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| Abstract: | This work aims to apply the GFEM (Galerkin Finite Element Method), with hexahedral elements in concentration transport problems in a three-dimensional domain. Since these problems are highly convective in nature, a study of the GFEM with 8 and 27-node hexahedron is performed. For such, an application with an analytical solution is performed by examining the norms L2 and L∞ from the error in the numerical solution; especially considering the variation of the velocity components, and the geometry of the proposal. Finally, the application involved the transport of an ammonia concentration through a tubulation containing holes caused by ruptures, which allows for inward air flow; thus, in this study, the influence of the variation of hole quantities, the maximum drainage velocity, and the geometry employed are analyzed. |
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