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, Oscar E.
Fuertes-Miquel, Vicente S.
Quiñones-Bolaños, Edgar
Gustavo, Gatica
Coronado-Hernandez, Jairo R.
Tipo de recurso:
Article of journal
Fecha de publicación:
2020
Institución:
Corporación Universidad de la Costa
Repositorio:
REDICUC - Repositorio CUC
Idioma:
eng
OAI Identifier:
oai:repositorio.cuc.edu.co:11323/7326
Acceso en línea:
https://hdl.handle.net/11323/7326
https://repositorio.cuc.edu.co/
Palabra clave:
Hydraulic transients
Air-water interface
Air valves
Bernoulli’s equation
Draining
Rights
openAccess
License
CC0 1.0 Universal
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.