Investigation on the effects of entrained air in pipelines

The main goal of this work is the development of a computational program for the quantitative assessment of the effects of entrained air in pipeline systems with respect to their operational safety. Likewise, two specific problems are investigated. (1) The effect of entrained air in form of pockets on hydraulic transients, during pump shutdown. It can be considered the most dangerous maneuver within a pumping pipeline. The computations corresponding to this study were evaluated by using the method of characteristics. (2) The numerical simulation of fluid transients caused by the shutdown of pumps, considering air pockets located at the high points of pumping pipeline systems and a water-air bubble mixture immediately downstream of the pockets. The constitutive equations – conservation of the gas mass, of the liquid mass, and the mixture momentum – yield a set of differential equations that will be solved by the method of characteristics. For the homogeneous model presented herein the two phases or components are treated as a single pseudofluid with average properties. It is assumed that there is no relative motion or slip between the phases, as well as for the momentum equation for the mixture. In the same way to the compressibility of the gas, the liquid compressibility and the pipe wall elasticity are included in the system of equations. The equation of energy is not used due to the moderate change in temperature of the mixture during the transient. In the case of negative impacts on the safety and operability of pipeline systems resulting from air entrainment, operational remediation measures will be suggested. Hier wurden bereits zielgerechte Modellversuche ausgefuhrt und Losungsvorschlage fur bauliche und betriebliche Anderungen ausgearbeitet. Letztere sollten nunmehr wissenschaftlich vertieft und zu allgemeinen Bemessungsregeln, moglichst auf analytischer Basis, ubergefuhrt werden. Vornehmlich stehen die Bewegungsvorgange von kompakten Lufteinschlussen und Wasser-Luft-Gemischen (Zweiphasenkomponenten-Stromung) in Pumpendruckleitungen und deren Verhalten beim plotzlichen Abschalten der Pumpenaggregate im Vordergrund.

[1]  R. Wege Untersuchungs- und Überwachungsmethoden für die Beurteilung natürlicher Selbstreinigungsprozesse im Grundwasser , 2005 .

[2]  Alan T. K. Fok A contribution to the analysis of energy losses in transient pipe flow. , 1987 .

[3]  F. Filiz Linking large scale meteorological conditions to floods in mesoscale catchments , 2005 .

[4]  David Stephenson EFFECTS OF AIR VALVES AND PIPEWORK ON WATER HAMMER PRESSURES , 1997 .

[5]  I. S. Pearsall,et al.  Paper 2: The Velocity of Water Hammer Waves , 1965 .

[6]  E. Silberman Sound Velocity and Attenuation in Bubbly Mixtures Measured in Standing Wave Tubes , 1957 .

[7]  W. Nowak Geostatistical methods for the identification of flow and transport parameters in the subsurface , 2005 .

[8]  Ayros Chumpitazi,et al.  Regionalisierung extremer Abflüsse auf der Grundlage statistischer Verfahren , 2000 .

[9]  Torben Larsen,et al.  Measurements and Computations of Transients in Pumped Sewer Plastic Mains , 1992 .

[10]  Siegfried Gurr Beitrag zur Berechnung zusammengesetzter ebener Flächentragwerke : unter besonderer Berücksichtigung ebener Stauwände, mit Hilfe von Randwert- und Lastwertmatrizen , 1964 .

[11]  Eamon McKeogh,et al.  EFFECT OF TURBULENCE INTENSITY ON THE RATE OF AIR ENTRAINMENT BY PLUNGING WATER JETS. , 1980 .

[12]  Annette Silberhorn-Hemminger Modellierung von Kluftaquifersystemen: Geostatistische Analyse und deterministisch-stochastische Kluftgenerierung , 2002 .

[13]  L. Samaniego-Eguiguren Hydrological consequences of land use/land cover and climatic changes in mesoscale catchments , 2003 .

[14]  Nina Simone Winkler Optimierung der Steuerung von Hochwasserrückhaltebeckensystemen , 2006 .

[15]  Willi H. Hager,et al.  Hydraulic jump in circular pipes , 1999 .

[16]  Robert C. Edmunds Air Binding in Pipes , 1979 .

[17]  Thomas M. Walski,et al.  Hydraulics of corrosive gas pockets in force mains , 1994 .

[18]  Richard T. Richards Air Binding in Water Pipelines , 1962 .

[19]  Stefan Lang Parallele numerische Simulation instationärer Probleme mit adaptiven Methoden auf unstrukturierten Gittern , 2001 .

[20]  Phillip O. Landon Air in Pipe? Time to Review Air Valve Basics , 1994 .

[21]  Minghao Qin Wirklichkeitsnahe und recheneffiziente Ermittlung von Temperatur und Spannungen bei großen RCC-Staumauern , 2005 .

[22]  C. Martin,et al.  Pressure Pulse Propagation in Two-Component Slug Flow , 1979 .

[23]  M. Fischer Beanspruchung eingeerdeter Rohrleitungen infolge Austrocknung bindiger Böden , 2006 .

[24]  J. Hunt,et al.  The role of coherent structures in bubble transport by turbulent shear flows , 1994, Journal of Fluid Mechanics.

[25]  D A Ervine,et al.  AIR ENTRAINMENT IN HYDRAULIC STRUCTURES: A REVIEW. , 1998 .

[26]  Omar Khalil Ouda Optimisation of Agricultural Water Use: A Decision Support System for the Gaza Strip Von der Fakultät Bau-und Umweltingenieurwissenschaften der Universität Stuttgart zur Erlangung der Würde eines Doktor- Ingenieurs (Dr.-Ing) genehmigte Abhandlung , 2003 .

[27]  M. Süß Analysis of the influence of structures and boundaries on flow and transport processes in fractured porous media , 2005 .

[28]  Yeshewatesfa Hundecha Hirpa,et al.  Regionalization of parameters of a conceptual rainfall runoff model , 2005 .

[29]  M. Kenn,et al.  Aspects of Similarity for Air-entraining Water Flows , 1967, Nature.

[30]  Kenichiro Kobayashi,et al.  Optimization methods for multiphase systems in the subsurface : application to methane migration in coal mining areas , 2005 .

[31]  Richard Burrows,et al.  EFFECT OF AIR POCKETS ON PIPELINE SURGE PRESSURE. , 1995 .

[32]  K. J. H. BENDIKSENJf AN EXPERIMENTAL INVESTIGATION OF THE MOTION OF LONG BUBBLES IN INCLINED TUBES , 1984 .

[33]  Helmut Kobus,et al.  An introduction to air-water flows in hydraulics , 1985 .

[34]  Jens Mödinger Entwicklung eines Bewertungs- und Entscheidungsunterstützungssystems für eine nachhaltige regionale Grundwasserbewirtschaftung , 2006 .

[35]  M. Escarameia,et al.  Experimental and numerical studies on movement of air in water pipelines , 2004 .

[36]  Thomas Breiting Techniken und Methoden der Hydroinformatik : Modellierung von komplexen Hydrosystemen im Untergrund , 2006 .

[37]  Andreas Bielinski,et al.  Numerical simulation of CO2 sequestration in geological formations , 2007 .

[38]  E. Zukoski Influence of viscosity, surface tension, and inclination angle on motion of long bubbles in closed tubes , 1966, Journal of Fluid Mechanics.

[39]  Sabine Manthey Two-phase flow processes with dynamic effects in porous media - parameter estimation and simulation , 2006 .

[40]  Mark J. Sundquist,et al.  Fixed-Grid Characteristics for Pipeline Transients , 1977 .

[41]  E. Benjamin Wylie,et al.  Fluid Transients in Systems , 1993 .

[42]  E. Rhodes,et al.  Non-equilibrium Flows, Part I. Edited by P. P. WEGENER. Marcel Dekker, 1969. 255 pp. $13.75 or £6 11s. , 1970, Journal of Fluid Mechanics.

[43]  Vlad Rojanschi Abflusskonzentration in mesoskaligen Einzugsgebieten unter Berücksichtigung des Sickerraumes , 2006 .

[44]  K. Stephan Integration elliptischer funktionen , 1988 .

[45]  Jens Wolf Räumlich differenzierte Modellierung der Grundwasserströmung alluvialer Aquifere für mesoskalige Einzugsgebiete , 2006 .

[46]  Bernd Huwe Deterministische und stochastische Ansätze zur Modellierung des Stickstoffhaushalts landwirtschaftlich genutzter Flächen auf unterschiedlichem Skalenniveau , 1992 .

[47]  Klaus Kirchenbaur Mikroprozessorgesteuerte Erfassung instationärer Druckfelder am Beispiel seegangsbelasteter Baukörper , 1985 .

[48]  D. C. Wiggert,et al.  The Effect of Gaseous Cavitation on Fluid Transients , 1979 .

[49]  Air Binding in Large Pipelines Flowing Under Vacuum , 1957 .

[50]  G. Yadigaroglu,et al.  On the various forms of the conservation equations in two-phase flow , 1976 .

[51]  Katrin Batereau SENSORBASIERTE BODENLUFTMESSUNG ZUR VOR-ORT-ERKUNDUNG VON SCHADENSHERDEN IM UNTERGRUND , 2008 .

[52]  Edward R. Holley Surging in Laboratory Pipeline with Steady Inflow , 1969 .

[53]  D. Joseph,et al.  Universal correlation for the rise velocity of long gas bubbles in round pipes , 2003, Journal of Fluid Mechanics.

[54]  George Jacoub Development of a 2-D Numerical Module for Particulate Contaminant Transport in Flood Retention Reservoirs and Impounded Rivers , 2004 .

[55]  R. J. Brown,et al.  Water-Column Separation at Two Pumping Plants , 1968 .

[56]  Nicholas Kouwen,et al.  Removal of Air from Water Lines by Hydraulic Means , 1975 .

[57]  M. Hanif Chaudhry,et al.  Closed-Conduit Flow , 1981 .