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Numerical Heat Transfer, Part A: Applications
An International Journal of Computation and Methodology
Volume 67, 2015 - Issue 3
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Original Articles

Numerical Investigation on Mass Dispersion in Turbulent Flows through Porous Media with High Porosity

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Pages 293-312 | Received 30 Sep 2013, Accepted 18 Apr 2014, Published online: 23 Oct 2014

REFERENCES

  • S. Whitaker , The Method of Volume Averaging , pp. 1 – 196 , Kluwer , The Netherlands , 1999 .
  • F. J. Valdes-Parada , M. L. Porter , and B. D. Wood , The Role of Tortuosity in Upscaling , Transp. Porous Media , vol. 88 , pp. 1 – 30 , 2011 .
  • J. M. P. Q. Delgado , A Critical Review of Dispersion in Packed Beds , Heat Mass Transfer , vol. 42 , pp. 279 – 310 , 2006 .
  • B. D. Wood , Inertial Effects in Dispersion in Porous Media , Water Resour. Res. , vol. 43 , pp. 12 – 16 , 2007 .
  • M. H. J. Pedras and M. J. S. de Lemos , Thermal Dispersion in Porous Media as a Function of the Solid-Fluid Conductivity Ratio , Int. J. Heat Mass Transfer , vol. 51 , pp. 5359 – 5367 , 2008 .
  • J. M. P. Q. Delgado , Longitudinal and Transverse Dispersion in Porous Media , AIChE J. , vol. 85 , pp. 1245 – 1252 , 2007 .
  • R. G. Carbonell and S. Whitaker , Dispersion in Pulsed System-II: Theoretical Developments for Passive Dispersion in Porous Media , Chem. Eng. Sci. , vol. 38 , pp. 1795 – 1802 , 1983 .
  • A. Eidsath , R. G. Carbonell , and S. Whitaker , Dispersion in Pulsed Systems-III: Comparison between Theory and Experiment for Packed Beds , Chem. Eng. Sci. , vol. 38 , pp. 1803 – 1816 , 1983 .
  • D. L. Koch , R. G. Cox , H. Brenner , and J. F. Brady , The Effect of Order on Dispersion in Porous Media , J. Fluid Mech. , vol. 200 , pp. 178 – 188 , 1989 .
  • F. Kuwahara and A. Nakayama , Numerical Determination of Thermal Dispersion Coefficients Using a Periodic Structure , ASME J. Heat Transfer , vol. 121 , pp. 160 – 163 , 1999 .
  • A. A. Alshare , P. J. Strykowski , and T. W. Simon , Modeling of Unsteady, and Steady Fluid Flow, Heat Transfer and Dispersion in Porous Media using Unit Cell Scale , Int. J. Heat Mass Transfer , vol. 53 , pp. 2294 – 2310 , 2010 .
  • D. A. Edwards , M. Shapiro , H. Brenner , and M. Shapira , Dispersion of Inert Solutes in Spatially Periodic, Two-Dimensional Model Porous Media , Transp. Porous Media , vol. 6 , pp. 337 – 358 , 1991 .
  • M. Quintard and S. Whitaker , Convection, Dispersion, and Interfacial Transport of Contaminants: Homogeneous Porous Media , Adv. Water Resour. , vol. 17 , pp. 221 – 239 , 1994 .
  • M. L. Porter and J. Francisco , Comparison of Theory and Experiments for Dispersion in Homogeneous Porous Media , Adv. Water Resour. , vol. 33 , pp. 1043 – 1052 , 2010 .
  • H. Bruining , M. Darwish , and A. Rijnks , Computation of the Longitudinal and Transverse Dispersion Coefficient in an Adsorbing Porous Medium using Homogenization , Transp. Porous Media , vol. 91 , pp. 833 – 859 , 2012 .
  • P. Parthasarathy , P. Habisreuther , and N. Zarzalis , Evaluation of Longitudinal Dispersion Coefficient in Open-Cell Foams using Transient Direct Pore Level Simulation, Chem. Eng. Sci. , vol. 90, pp. 242–249, 2013.
  • K. Abe , Y. Nagano , and T. Kondoh , An Improved k-ϵ Model for Prediction of Turbulent Flows with Separation and Reattachment , Trans. JSME, Ser. B , vol. 58 , pp. 3003 – 3010 , 1992 .
  • M. H. J. Pedras and M. J. S. de Lemos , Macroscopic Turbulence Modelling for Incompressible Flow through Undeformable Porous Media , Int. J. Heat Mass Transfer , vol. 44 , pp. 1081 – 1093 , 2001 .
  • A. Nakayama and F. Kuwahara , A Macroscopic Turbulence Model for Flow in a Porous Medium , J. Fluids Eng. , vol. 121 , pp. 427 – 433 , 1999 .
  • F. Kuwahara , A. Nakayama , and H. Koyama , A Numerical Study of Thermal Dispersion in Porous Media , ASME J. Heat Transfer , vol. 118 , pp. 756 – 761 , 1996 .
  • M. N. E. Rifai , W. J. Kaufman , and D. N. Todd , Dispersion in Laminar Flow through Porous Media , Sanitary Engineering Report 3, Inst. Eng. Res. Series 90 , University of California at Berkeley , pp. 1 – 157 , 1956 .
  • E. A. Ebach and R. R. White , Mixing of Fluids Flowing through Beds of Packed Solids , AIChE J. , vol. 4 , pp. 161 – 169 , 1958 .
  • J. J. Carberry and R. H. Bretton , Axial Dispersion of Mass in Flow through Packed Beds , AIChE J. , vol. 4 , pp. 367 – 375 , 1958 .
  • R. H. Wilhelm , Progress Towards the a Priori Design of Chemical Reactors , Pure Appl. Chem. , vol. 5 , pp. 403 – 421 , 1962 .
  • J. R. F. Guedes de Carvalho and J. P. P. Q. Delgado , Lateral Dispersion in Liquid Flow through Packed Beds at Pem < 1400 , AIChE J. , vol. 46 , pp. 1089 – 1095 , 2000 .
  • G. W. Johnson and R. S. Kapner , The Dependence of Axial Dispersion on Non-Uniform Flows in Beds of Uniform Packing , Chem. Eng. Sci. , vol. 45 , pp. 3329 – 3339 , 1990 .
  • M. Suzuki and J. M. Smith , Axial Dispersion in Beds of Small Particles , Chem. Eng. Sci. , vol. 3 , pp. 256 – 264 , 1972 .
  • J. R. F. Guedes de Carvalho and J. M. P. Q. Delgado , Measurement of the Coefficient of Transverse Dispersion in Packed Beds over a Range of Values of Schmidt Number (50–1000) , Transp. Porous Media , vol. 44 , pp. 165 – 180 , 2001 .
  • M. M. Al-Dousari , A. A. Garrouch , and L. H. Guedouar , Analysis of the Convective Dispersive Transport in Porous Media , J. Pet. Sci. Eng. , vol. 66 , pp. 15 – 23 , 2009 .
  • Å. Olsson and P. Grathwohl , Transverse Dispersion of Non-Reactive Tracers in Porous Media: A New Nonlinear Relationship to Predict Dispersion Coefficients , J. Contam. Hydrol. , vol. 92 , pp. 149 – 161 , 2007 .
  • J. R. F. Guedes de Carvalho and J. M. P. Q. Delgado , The Effect of Fluid Properties on Dispersion in Flow through Packed Beds , AIChE J. , vol. 49 , pp. 1980 – 1985 , 2003 .
  • D. J. Gunn , Theory of Axial and Radial Dispersion in Packed Beds , J. Chem. Educ. , vol. 47 , pp. 351 – 359 , 1969 .
  • D. R. F. Harleman and R. R. Rumer , Longitudinal and Lateral Dispersion in an Isotropic Porous Medium , J. Fluid Mech. , vol. 16 , pp. 385 – 394 , 1963 .
  • N.-W. Han , J. Bhakta , and R. G. Carbonell , Longitudinal and Lateral Dispersion in Packed Beds: Effect of Column Length and Particle Size Distribution , AIChE J. , vol. 31 , pp. 277 – 288 , 1985 .
  • R. C. Hassinger and D. U. Von Rosenberg , A Mathematical and Experimental Examination of Transverse Dispersion Coefficients , SPE J. , vol. 8 , pp. 195 – 204 , 1968 .
  • D. J. Gunn and C. Pryce , Dispersion in Packed Beds , J. Chem. Educ. , vol. 47 , pp. 341 – 350 , 1969 .
  • M. A. N. Coelho and J. R. F. Guedes de Carvalho , Transverse Dispersion in Granular Beds: Part I-Mass Transfer from a Wall and the Dispersion Coefficient in Packed Beds , Chem. Eng. Res. Des. , vol. 66 , pp. 165 – 177 , 1988 .
  • Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unht.

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