Moving liquid column with entrapped gas pocket and fluid-structure interaction at a pipe's dead end: A nonlinear spring-mass system

Tijsseling, Arris S
Hou, Qingzhi
Bozkuş, Zafer
Moving liquid columns and entrapped gas pockets are basic ingredients in the industrial processes of starting flow and pipe filling. Within limits, the liquid columns can be modeled as masses and the gas pockets as springs. Such a simple model already gives useful estimates of maximum pressures and temperatures in the gas pockets. Herein we consider a gas pocket located at a closed pipe end which is being compressed by a liquid column. In particular the situation is considered where the mass-stiffness ratios of the liquid-gas system and the vibrating dead end are of the same order of magnitude, so that fluid-structure interaction must be taken into account. This leads to interesting nonlinear behavior of the twofold spring mass model representing the system. Any acoustic effects (wave propagation) are ignored. The study aims at finding dimensionless dynamic load factors and vibration frequencies in pipe systems filled with liquid and gas.


Tijsseling, Arris S.; Hou, Qingzhi; Bozkuş, Zafer (2015-01-01)
High pressures and high temperatures may arise in pipelines when a liquid column is suddenly accelerated into a gas pocket trapped at a closed end. A mass oscillation occurs that is described by nonlinear equations for both liquid and gas. Analytical expressions are derived for the uniform velocity of the liquid column, from which pressures and gas temperatures follow. The obtained results are validated against theoretical and experimental results published by fellow researchers.
Analytical Solutions for Liquid Slugs and Pigs Traveling in Pipelines with Entrapped Gas
TİJSSELİNG, Arris S; QİNGZHİ, Hou; Bozkuş, Zafer (2017-07-20)
Liquid slugs have a relatively low mass and can therefore when they occupy a full cross-section of a pipeline be accelerated to very high velocities by means of pressurized gas. When entrapped gas pockets are present, pressures and temperatures may become dangerously high. Simple models and analytical solutions are derived and used to predict transient velocities, pressures and temperatures. The models have a generic character as they also describe the basics of breaking surface waves impacting on a wall, a...
Analytical and Numerical Solution for a Rigid Liquid Column Moving in a Pipe with Fluctuating Reservoir Head and Venting Entrapped Gas
TİJSSELİNG, Arris S; HOU, Qingzhi; Bozkuş, Zafer (2016-07-21)
The motion of liquid filling a pipeline is impeded when the gas ahead of it cannot escape freely. Trapped 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. This paper is an extension of previous work by the authors in the sense that the trapped gas can escape through a vent. Another addition is that the driving pressure is not kept constant but fluctuating. The obtained analytical and numerical solutions are utilized i...
Combined effect of fructose and NaCl on the viscosity of alumina nanopowder suspensions
Çınar, Simge; Akinc, Mufit (2015-01-01)
Many ceramic processing operations involving powder suspensions aim to optimize the solids loading while maintaining low viscosity. Use of nanopowder suspensions are challenging as they exhibit unexpectedly high viscosities. Low molecular weight saccharides were added to decrease the viscosities of alumina nanopowder suspensions as they modify effective solids content. It was also recently reported that suspensions with very low ionic strengths exhibit lower viscosities as they create high repulsive barrier...
Synthesis of hierarchical calcium carbonate particles
Oral, Cağatay Mert; Kapusuz, Derya; Ercan, Batur (null; 2018-11-01)
Recently, synthesis of hierarchically structured porous materials gained particular interest for various industrial applications. As a biocompatible and chemically stable material, hierarchical CaCO3 structures formed by ordered aggregation and growth of nanocrystals offer significant advantages for structural and biomedical use compared to their currently-used alternatives. During solution processing, incorporating doping agents to calcium positions or altering CaCO3 supersaturation, new crystals can heter...
Citation Formats
A. S. Tijsseling, Q. Hou, and Z. Bozkuş, “Moving liquid column with entrapped gas pocket and fluid-structure interaction at a pipe’s dead end: A nonlinear spring-mass system,” 2018, vol. 4, Accessed: 00, 2020. [Online]. Available: