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Abstrakty
In the article, a new way for obtaining a set of geometrical parameters of granular porous beds is presented, if the data on the locations and sizes of all particles is available. The input data were prepared with the use of Discrete Element Method. The other way for acquiring the input data may be the application of Computed Tomography (CT) and Image Analysis (IA) techniques. All geometrical parameters are calculated with the use of own numerical code called PathFinder (freely available in the Internet together with its source code). In addition to description of the method of calculations, two examples of its use are presented. One simulation was performed in PFC3D code, and the other in YADE software. The aim of the article was to show clearly that a porosity is not sufficient to describe the spatial structure of a porous body. In both presented examples, the porosity value is almost the same, but other parameters, e.g. tortuosity, are different. The motivation to write the PathFinder code were significant problems with obtaining geometrical parameters needed in investigations related to granular porous media. The issues described in the article are a part of an overall research methodology relating to the linking the micro- and macro-scale investigations of granular porous beds. The areas of applications of this methodology are not discussed in the article.
Słowa kluczowe
Rocznik
Tom
Strony
165--187
Opis fizyczny
Bibliogr. 41 poz., rys., tab., wykr.
Twórcy
autor
- Department of Mechanics and Basics of Machine Construction, University of Warmia and Mazury in Olsztyn
autor
- Department of Mechanics and Basics of Machine Construction, University of Warmia and Mazury in Olsztyn
autor
- Department of Mechanics and Basics of Machine Construction, University of Warmia and Mazury in Olsztyn
Bibliografia
- AMAO A.M. 2007. Mathematical Model For Darcy Forchheimer Flow With Applications To Well Performance Analysis. MSc Thesis. Department of Petroleum Engineering, Texas Tech University, Lubbock, Texas.
- BELYADI A. 2006. Analysis of Single-Point Test To Determine Skin Factor. PhD Thesis. Department of Petroleum and Natural Gas Engineering, West Virginia University, Morgantown, West Virginia.
- BELYADI F. 2006. Determining Low Permeability Formation Properties from Absolute Open Flow Potential. PhD Thesis. Department of Petroleum and Natural Gas Engineering, West Virginia University, Morgantown, West Virginia.
- CARMAN P.C. 1997. Fluid Flow through a Granular Bed. Transactions of the Institute of Chemical Engineers, Jubilee Supplement, 75: 32-48.
- COMITI J., RENAUD M.A. 1989. New model for determining mean structure parameters of fixed beds from pressure drop measurements: application to beds packed with parallelepipedal particles. Chemical Engineering Science, 44(7): 1539-1545.
- DARCY H. 1856. Les Fontaines Publiques De La Ville De Dijon. Victor Dalmont, Paris.
- DUDDA W., SOBIESKI W. 2014. Modification of the PathFinder algorithm for calculating granular beds with various particle size distributions. Technical Sciences, 17(2): 135-148.
- DUNN M.D. 1999. Non-Newtonian Fluid Flow through Fabrics. National Textile Center Annual Report: C98-P1, Philadelphia University, November.
- ERGUN S. 1952. Fluid flow through packed columns. Chemical Engineering Progress, 48(2): 89-94.
- Fluent Inc.: Fluent 6.3 Tutorial Guide. September 2006.
- Fluent Inc.: Fluent 6.3 User’s Guide, Chapter 7.19: Porous Media Conditions, September 2006.
- FOURIE W., SAID R., YOUNG P., BARNES D.L. 2007. The simulation of pore scale fluid flow with real world geometries obtained from X-ray computed tomography. COMSOL Conference, Boston, United States, 14 March.
- Gnuplot Home Page. Online: http://www.gnuplot.info/ (access: 1.05.2015).
- HERNÁNDEZ Á. R. Á. 2005. Combined Flow And Heat Transfer Characterization of Open Cell Aluminum Foams. MSc Thesis. Mechanical Engineering, University Of Puerto Rico, Mayagez Campus, San Juan, Puerto Rico.
- ITASCATM Home Page. Online: http://www.itascacg.com/pfc3d/ (access: 1.05.2015).
- KOZENY J. 1927. Über kapillare Leitung des Wassers im Boden. Akademie der Wissenschaften in Wien, Sitzungsberichte, 136(2a): 271-306.
- LIU CH., ZHANG Q., CHEN Y. 2008. PFC3D Simulations of lateral pressures in model bin. ASABE International Meeting, paper number 083340. Rhode Island.
- LIU CH., ZHANG Q., CHEN Y. 2008. PFC3D Simulations of vibration characteristisc of bulk solids in storage bins. ASABE International Meeting, paper number 083339. Rhode Island.
- LORD D.L., RUDEEN D.K., SCHATZ J.F., GILKEY A.P., HANSEN C.W. 2006. DRSPALL: Spallings Model for the Waste Isolation Pilot Plant 2004 Recertification. SAND2004-0730, Sandia National Laboratories, Albuquerque, New Mexico, Livermore, California.
- MIAN M.A. 1992. Petroleum engineering handbook for the practicing engineer. Pennwell Publishing, Tulsa, Oklahoma.
- NEETHIRAJAN S., KARUNAKARAN C., JAYAS D.S., WHITE N.D.G. 2006. X-ray Computed Tomography Image Analysis to explain the Airflow Resistance Differences in Grain Bulks. Biosystems Engineering, 94(4): 545-555.
- NIVEN R.K. 2002. Physical insight into the Ergun and Wen and Yu equations for fluid flow in packed and fluidised beds. Chemical Engineering Science, 57(3): 527-534.
- ParaView Home Page. Online: http://www.paraview.org/ (access: 1.05.2015).
- RAINEY T.J., DOHERTY W.O.S., BROWN R.J., KELSON N.A., MARTINEZ D.M. 2008. Determination of the permeability parameters of bagasse pulp from two different sugar extraction methods. TAPPI Engineering, Pulping & Environmental Conference. Portland, Oregon, United States, August 24-27.
- RESCH E. 2008. Numerical and Experimental Characterisation of Convective Transport in Solid Oxide Fuel Cells. MSc Thesis, Queens University, Kingston, Ontario, Canada.
- ROSSEL S.M. 2004. Fluid flow modeling of resin transfer molding for composite material wind turbine blade structures. Sandia National Laboratories on-line report no SAND04-0076. Department of Chemical Engineering, Montana State University - Bozeman, Bozeman, Montana.
- SAMSURI A., SIM S.H., TAN C.H. 2003. An Integrated Sand Control Method Evaluation. Society of Petroleum Engineers, SPE Asia Pacific Oil and Gas Conference and Exhibition, Jakarta, Indonesia, 9-11 September.
- SKJETNE E., KLOV T., GUDMUNDSSON J.S. 1999. High-Velocity Pressure Loss In Sandstone Fractures: Modeling And Experiments(SCA-9927). International Symposium of the Societyof Core Analysts, Colorado School of Mines, Colorado, August 1-4.
- SOBIESKI W. 2009a. Calculating tortuosity in a porous bed consisting of spherical particles with known sizes and distribution in space. Research report 1/2009, Winnipeg.
- SOBIESKI W. 2009b. Switch Function and Sphericity Coefficient in the Gidaspow Drag Model for Modeling Solid-Fluid Systems. Drying Technology, 27(2): 267-280.
- SOBIESKI W. 2010. Examples of Using the Finite Volume Method for Modeling Fluid-Solid Systems. Technical Sciences, 13: 256-265.
- SOBIESKI W. 2014. The quality of the base knowledge in a research process. Scientific researches in the department of mechanics and machine design, University of Warmia and Mazury in Olsztyn, 2: 29-47.
- SOBIESKI W., LIPINSKI S. The PathFinder User’s Guide. Online: http://www.uwm.edu.pl/pathfinder/ (access: 1.05.2015).
- SOBIESKI W., TRYKOZKO A. 2011. Sensitivity aspects of Forchheimer’s approximation. Transport in Porous Media, 89(2): 155-164.
- SOBIESKI W., TRYKOZKO A. 2014a. Forchheimer Plot Method in Practice. Part 1. The experiment. Technical Sciences, 17(4): 221-335.
- SOBIESKI W., TRYKOZKO A. 2014b. Forchheimer Plot Method in Practice. Part 2. A numerical model. Technical Sciences, 17(4): 337-350.
- SOBIESKI W., ZHANG Q., LIU C. 2012. Predicting TortuosityforAirflow Through PorousBeds Consisting of Randomly Packed Spherical Particles. Transport in Porous Media, 93(3): 431-451.
- The MayaVi Data Visualizer. Online: http://mayavi.sourceforge.net/index.html (access: 1.05.2015).
- The PathFinder Project. Online: http://www.uwm.edu.pl/pathfinder/ (access: 1.05.2015).
- WHITAKER S. 1996. The Forchheimer equation: A theoretical development. Transport in Porous Media, 25(1): 27-61.
- WU J., YU B., YUN M. 2008. A resistance model for flow through porous media. Transport in Porous Media, 71(3): 331-343.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ae9a9125-1ace-469f-9527-7c364175fca4