Simplified mathematical model for computing draining operations in pipelines of undulating profiles with vacuum air valves
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Fecha
2020-09
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
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Título del volumen
Editor
MDPI AG
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Licencia CC
Attribution 4.0 International (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/
Resumen
The draining operation involves the presence of entrapped air pockets, which are expanded during the phenomenon occurrence generating drops of sub-atmospheric pressure pulses. Vacuum air valves should inject enough air to prevent sub-atmospheric pressure conditions. Recently, this phenomenon has been studied by the authors with an inertial model, obtaining a complex formulation based on a system composed by algebraic-differential equations. This research simplifies this complex formulation by neglecting the inertial term, thus the Bernoulli's equation can be used. Results show how the inertial model and the simplified mathematical model provide similar results of the evolution of main hydraulic and thermodynamic variables. The simplified mathematical model is also verified using experimental tests of air pocket pressure, water velocity, and position of the water column. © 2020 by the authors.
Notas
Indexación: Scopus.
Palabras clave
Air valves, Air-water interface, Bernoulli's equation, Draining, Hydraulic transients
Citación
Water (Switzerland)Open AccessVolume 12, Issue 9September 2020 Article number 2544
DOI
10.3390/w12092544