Simplified mathematical model for computing draining operations in pipelines of undulating profiles with vacuum air valves

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 bee...

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Autores:
Coronado Hernández, Óscar Enrique
Fuertes Miquel, Vicente S.
Quiñones-Bolaños, Edgar Eduardo
Gatica, Gustavo
Coronado Hernández, Jairo Rafael
Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad Tecnológica de Bolívar
Repositorio:
Repositorio Institucional UTB
Idioma:
eng
OAI Identifier:
oai:repositorio.utb.edu.co:20.500.12585/9554
Acceso en línea:
https://hdl.handle.net/20.500.12585/9554
https://www.mdpi.com/2073-4441/12/9/2544
Palabra clave:
Hydraulic transients
Air-water interface;
Air valves
Bernoulli’s equation
Draining
Rights
openAccess
License
http://creativecommons.org/licenses/by-nc-nd/4.0/
Description
Summary: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