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Slug flow and fluid-structure interaction in industrial pipe systems. Qingzhi Hou. Overview. Introduction Two-phase flows Test problems Mathematical models Fluid-structure interaction Conclusions. Industrial problems. Moving pipes. Broken pipes. Two-phase flows.
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Slug flow and fluid-structure interaction in industrial pipe systems QingzhiHou
Overview • Introduction • Two-phase flows • Test problems • Mathematical models • Fluid-structure interaction • Conclusions
Industrial problems Moving pipes
Two-phase flows Two-phase flow regimes Butterworth & Hewitt 1977
Test problems Bozkus and Wiggert laboratory set up (1997) water
Measured pressures at elbow Pressure1 Pressure2
Delft experiment (European project) pipe filling and emptying L = 300 m D = 0.25 m
1D-models Single phase • Water hammer • Pipe vibration
Upstream Gas Hold-up Slug Downstream Gas Slug flow – 1D model Moving slug
Slug impact at the elbow - 1D model Dynamic pressure
Italian experiment (slug flow in vertical pipe) Filling through orifice (Giuseppe D.M 2008)
3D-models • Smoothed particle hydrodynamics (SPH) • Lucy (1977) and Monaghan (1977) • Advantages: easy to deal with free surfaces, moving boundaries, high velocity impacts, explosions and large deformations. • Kernel approximation Particle approximation
Conservation laws • Lagrangian form • Continuity equation • Momentum equation • Energy equation
SPH Mass • Summation density • Continuity density
Fluid-structure interaction (FSI) • Forces on pipes and anchors • Vibration of pipes
FSI • Basic modes of vibrations • Coupling mechanisms to be included in model
Summary • Performed tasks • Literature review • Delft experiment • 1D modeling • FSI in frequency domain • Coming half year • Data analysis of experiment • 1D modeling (two phase flow) • SPH modeling • Final goal • Simulation tool for filling of pipelines
References • Bozkus Z, Wiggert D.C (1997). Liquid slug motion in a voided line. Journal of Fluids and Structures, 11, 947-963. • Butterworth D, Hewitt G. F (1977). Two-Phase Flow and Heat Transfer. Oxford: Oxford University Press. • Doyle J.F (1997). Wave Propagation in Structures. New York: Springer Press. • Giuseppe D.M, Nicola F, and Maurizio G (2008). Transient Flow Caused by Air Expulsion through an Orifice. Journal of Hydraulic Engineering, 134(9), 1395-1399. • Liu G.R, Liu M.B (2003). Smoothed Particle Hydrodynamics: A Meshfree Particle Method. Singapore: World Scientific Publishing Co Pte Ltd. • Lucy L.B (1977). Numerical approach to test the fission hypothesis. Astronomical Journal, 82: 1013-1024. • Gingold R.A, Monaghan J.J (1977). Smoothed particle hydrodynamics: theory and application to non-spherical stars. Royal Astronomical Society, 181: 375-389.