Simplified Mathematical Model for Computing Draining Operations in Pipelines of Undulating Profiles with Vacuum Air Valves

Water

VicenteS. Fuertes-Miquel¹  ÓscarE. Coronado-Hernández²  EdgarE. Quiñones-Bolaños³  Gustavo Gatica⁴  JairoR. Coronado-Hernández⁵ 

[1] Departamento de Ingeniería Hidráulica y Medio Ambiente, Universitat Politècnica de València, 46022 Valencia, Spain;Facultad de Ingeniería, Universidad Tecnológica de Bolívar, Cartagena 131001, Colombia;Facultad de Ingeniería, Universidad de Cartagena, Cartagena 130014, Colombia;Faculty of Engineering, Universidad Andres Bello, Santiago de Chile 7500971, Chile;Producom, Universidad de la Costa, Barranquilla 080002, Colombia;

关键词: hydraulic transients;    air-water interface;    air valves;    Bernoulli’s equation;    draining;   

DOI  :  10.3390/w12092544

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown