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Tytuł artykułu

Sensitivity analysis of Kozeny-Carman and Ergun equations

Autorzy
Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the article a sensitivity analysis of linear and nonlinear terms in the Kozeny-Carman and Ergun equations was shown. In the first case the impact of the porosity, tortuosity, specific surface of the porous body and the model constant was investigated. In the second case the porosity, the particle diameter and the sphericity function were taken into account. To express the model sensitivity by numbers, an earlier developed method was used. In this way the order and the importance of the impact of individual parameters was determined. The motivations to create this article were questions, which occurred during developing a novel investigation method, linking the Discrete Element Method and the CFD techniques. The first aim was to predict what will happen, if individual parameters will be set with an error: which data should be set as accurately as possible and which data are not very important for the result value. The second intention was to state which of parameters used in porous media investigations should be expressed by functions and which by constant values. The article may be treated as set of pointers helping in using of Kozeny-Carman and Ergun laws or as an example of research methodology based on the sensitivity analysis.
Słowa kluczowe
Rocznik
Tom
Strony
235--248
Opis fizyczny
Bibliogr. 27 poz., tab., wykr.
Twórcy
autor
  • Department of Mechanics and Machine Design, University of Warmia and Mazury in Olsztyn
autor
  • Department of Biosystems Engineering, University of Manitoba in Winnipeg
Bibliografia
  • ANDERSON B.A., SARKAR A., THOMPSON J.F., SINGH R.P. 2004. Commercial-Scale Forced-Air Cooling of Packaged Strawberries. Transactions of the American Society of Agricultural Engineers, 47(1): 183-190.
  • ANDRADE J.S., COSTA U.M.S., ALMEIDA M.P., MAKSE H.A., STANLEY H.E. 1999. Inertial Effects on Fluid Flow through Disordered Porous Media. Physical Review Letters, 82(26): 5249-5252.
  • BUYRUK E., FERTELLI A., SONMEZ N. 2009. Numerical investigation for solidification around various cylinder geometries. Journal of Scientific & Industrial Research, 68(2): 122-129.
  • CARMAN P.C. 1997. Fluid Flow through a Granular Bed. Transactions of the Institute of Chemical Engineers. Jubilee Supplement, 75: 32-48.
  • DUNN M.D. 1999. Non-Newtonian Fluid Flow through Fabrics. National Textile Center Annual Report: C98-P1, Philadelphia University, United States of America, November.
  • EWING R., LAZAROV R., LYONS S.L., PAPAVASSILIOU D.V., PASCIAK J., QIN G.X. 1999. Numerical Well Model For Non-Darcy Flow. Computational Geosciences, 3(3-4): 185-204.
  • ERGUN S. 1952. Fluid flow through packed columns. Chemical and Engineering Progress, 48: 89-94.
  • 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 of America, 14 March.
  • HELLSTRÖM J.G.I., LUNDSTRÖM T.S. 2006. Flow through Porous Media at Moderate Reynolds Number. 4th International Scientific Colloquium: Modelling for Material Processing. University of Latvia, Riga, Latvia, June 8-9.
  • KEISHA I.R. 2008. A Soil Profile Characterization of a BioinfiltrationBMP. PhD Thesis. Department of Civil and Environmental Engineering, Villanova University, Philadelphia, United States of America, August.
  • LIU CH., ZHANG Q., CHEN Y. 2008a. PFC3D Simulations of Lateral Pressures in Model Bin. ASABE International Meeting, paper number 083340. Rhode Island, USA.
  • LIU CH., ZHANG Q., CHEN Y. 2008b. PFC3D Simulations of Vibration Characteristisc of Bulk Solids in Storage Bins. ASABE International Meeting, paper number 083339. Rhode Island, USA.
  • NEITHALATH N., WEISS J., OLEK J. 2009. Predicting the Permeability of Pervious Concrete (Enhanced Porosity Concrete) from Non-Destructive Electrical Measurements. On line: https://fp.auburn.edu/heinmic/perviousconcrete/Porosity.pdf (access: 5.10. 2009).
  • NIVEN R.K. 2002. Physical insight into the Ergun and Wen & Yu equations for fluid flow in packed and fluidised beds. Chemical Engineering Science, 57(3): 527-534.
  • OGILVIE S.R., CUDDY S., LINDSAY C., HURST A. 2002. Novel methods of permeability prediction from NMR tool data. DIALOG.
  • 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 of America, August 24-27.
  • RESCH E. 2008. Numerical And Experimental Characterisation of Convective Transport in Solid Oxide Fuel Cells. MSc Thesis. Queen’s University, Kingston, Ontario, Canada, October.
  • 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, Unites States, June.
  • SOBIESKI W., DUDDA W. 2014. Sensitivity analysis as a tool for estimating numerical modeling results. Drying Technology, 32(2): 145-155.
  • SOBIESKI W., LIPINSKI S. 2014. The PathFinder User’s Guide. On line: http://www.uwm.edu.pl//pathfinder/ (access: 1.03.2014).
  • SOBIESKI W., TRYKOZKO A. 2011. Sensitivity aspects of Forchheimer’s approximation. Transport in Porous Media, 89(2): 155-164.
  • SOBIESKI W. 2008. Numerical analysis of sensitivity of Eulerian Multiphase Model for a spouted bed grain dryer. Drying Technology, 26(12): 1438-1456.
  • SOBIESKI W. 2009. Switch Function and Sphericity Coefficient in the Gidaspow Drag Model for Modeling Solid-Fluid Systems. Drying Technology, 27(2): 267-280.
  • SOBIESKI W. 2014. The quality of the base knowledge in a research process. In: Scientific Researches in the Department of Mechanics and Machine Design. Vol. 2, Warmia and Mazury University, Olsztyn.
  • SOBIESKI W., ZHANG Q., LIU, C. 2012. Predicting Tortuosity for Airflow Through Porous Beds Consisting of Randomly Packed Spherical Particles. Transport in Porous Media, 93(3): 431-451.
  • The PathFinder Project. 2013. On line: http://www.uwm.edu.pl/pathfinder/ (access: 1.10.2013).
  • VUKOVIC M., SORO A. 1992. Determination of Hydraulic Conductivity of Porous Media from Grain Size Composition. Littleton. Water Resources Publications.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-18224d97-79a3-4136-941d-f249d9f29713
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