Rapid liquid-filling of a pipe with venting entrapped-gas: analytical and numerical solutions

[+] Author and Article Information
Arris S. Tijsseling

Department of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands

Qingzhi Hou

State Key Laboratory of Hydraulic Engineering, Simulation and Safety, School of Civil Engineering, Tianjin University, Tianjin 300350, China

Zafer Bozkus

Hydromechanics Laboratory, Department of Civil Engineering, Middle East Technical University, Ankara 06800, Turkey

1Corresponding author.

ASME doi:10.1115/1.4043321 History: Received April 15, 2017; Revised March 05, 2019


The motion of liquid filling a pipeline is impeded when the gas ahead of it cannot escape. Entrapped gas will lead to a significant pressure build-up in front of the liquid column, which slows down the column and eventually bounces it back. The pressure and temperature in the gas may become dangerously high, and for example lead to fires and explosions caused by auto-ignition. This paper considers the case where the trapped gas can escape through a vent. One new element is that the pressure head of the liquid supply reservoir is fluctuating instead of constant. The obtained analytical and numerical solutions are utilized in parameter variation studies that give deeper insight in the system's behavior.

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