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Experimental and Numerical Investigation of Mass Transport in Porous Media

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Transport Processes in Porous Media

Part of the book series: Advanced Structured Materials ((STRUCTMAT,volume 20))

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Abstract

This chapter presents some examples of experimental and numerical investigation of mass transport in porous media. Simple and inexpensive experimental techniques are described for the measurement of tortuosity, molecular diffusion coefficients, and axial and radial dispersion coefficients in a packed bed of inert particles. The mass transfer process between a moving fluid and a soluble solid mass buried in a packed bed of small inert particles with uniform voidage is also described. Numerical solutions of the partial differential equations describing solute mass conservation are undertaken (for solute transport by both advection and diffusion).

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References

  1. Akehata, T., Sato, K.: Flow distribution in packed beds. Chem. Eng. Jpn. 22, 430–436 (1958)

    CAS  Google Scholar 

  2. Alassar, R.S., Badr, H.M.: Analytical solution of oscillating inviscid flow over oblate spheroids with spheres and flat disks as special cases. Ocean Eng. 24, 217–225 (1997)

    Article  Google Scholar 

  3. Alves, M.A., Oliveira, P.J., Pinho, F.T.: A convergent and universally bounded interpolation scheme for the treatment of advection. Int. J. Num. Meth. Fluids 41, 47–75 (2003)

    Article  Google Scholar 

  4. Alves, M.A., Delgado, J.M.P.Q., Guedes de Carvalho, J.R.F.: Mass transfer from cylinders and plane surfaces buried in packed beds in alignment with the flow direction. Chem. Eng. Sci. 61, 1174–1183 (2006)

    Article  CAS  Google Scholar 

  5. Batchelor, G.K.: An Introduction to Fluid Dynamics. Cambridge University Press, Cambridge (1997)

    Google Scholar 

  6. Baetsle, L.H.: Migration of radionuclides in porous media. In: Duhamed Pergamon, A.M.F. (ed.) Progress in Nuclear Energy, Series XII, pp. 707–730. Health Physics, Elmsford (1969)

    Google Scholar 

  7. Bear, J.: Dynamics of Fluids in Porous Media. Dover Publications, New York (1972)

    Google Scholar 

  8. Blackwell, R.J.: Laboratory studies of microscopic dispersion phenomena. Soc. Petrol. Eng. J. 225, 1–8 (1962)

    CAS  Google Scholar 

  9. Bruinzeel, C, Reman, GH, van der Laan, ETh Axial dispersion. Proceedings of the 3th Congress of the European Federation of Chemical Engineering, Olympia (1962)

    Google Scholar 

  10. Carslaw, H.S., Jaeger, J.C.: Conduction of Heat in Solids, 2nd edn. Oxford University Press, Oxford (1959)

    Google Scholar 

  11. Carvalho, J.R.F.G., Delgado, J.M.P.Q., Alves, M.A.: Mass transfer between flowing fluid and sphere buried in packed bed of inerts. AIChE J. 50, 65–74 (2004)

    Article  Google Scholar 

  12. Coelho, M.A.N., Guedes de Carvalho, J.R.F.: Transverse dispersion in granular beds. Part I: Mass transfer from a wall and the dispersion coefficient in packed beds. Chem. Eng. Res. Des. 66, 165–177 (1988)

    CAS  Google Scholar 

  13. Crank, J.: The Mathematics of Diffusion, 2nd edn. Oxford University Press, Oxford (1975)

    Google Scholar 

  14. Currie, I.G.: Fundamental Mechanics of Fluids. McGraw-Hill, New York (1993)

    Google Scholar 

  15. Danckwerts, P.V.: Continuous flow systems. Chem. Eng. Sci. 2, 1–13 (1953)

    Article  CAS  Google Scholar 

  16. Dorweiler, V.P., Fahien, R.W.: Mass transfer at low flow rates in a packed column. AIChE J. 5, 139–144 (1959)

    Article  CAS  Google Scholar 

  17. Dullien, F.A.L.: Single phase flow through porous media and pore structure. Chem. Eng. J. 10, 1–34 (1975)

    Article  CAS  Google Scholar 

  18. Dullien, F.A.L.: Porous Media: Fluid Transport and Pore Structure. Academic, San Diego (1979)

    Google Scholar 

  19. Fahien, R.W., Smith, J.M.: Mass transfer in packed beds. AIChE J. 1, 28–37 (1955)

    Article  CAS  Google Scholar 

  20. Ferziger, J.H., Peric, M.: Computational Methods for Fluid Dynamics. Springer, Berlin (1996)

    Book  Google Scholar 

  21. Fuller, E.N., Schettler, P.D., Giddings, J.C.: A new method for prediction of binary gas-phase diffusion coefficients. Ind. Eng. Chem. 58, 19–27 (1966)

    Google Scholar 

  22. Gibbs, S.J., Lightfoot, E.N., Root, T.W.: Protein diffusion in porous gel filtration chromatography media studied by pulsed field gradient NMR spectroscopy. J. Phys. Chem. 96, 7458–7462 (1992)

    Article  CAS  Google Scholar 

  23. Guedes de Carvalho, J.R.F., Alves, M.A.M.: Mass transfer and dispersion around active sphere buried in a packed bed. AIChE J. 45, 2495–2502 (1999)

    Article  Google Scholar 

  24. Guedes de Carvalho, J.R.F., Delgado, J.M.P.Q.: Lateral dispersion in liquid flow through packed beds at Pem < 1400. AIChE J. 46, 1089–1095 (2000)

    Article  Google Scholar 

  25. Gunn, D.J.: Mixing in packed and fluidised beds. Chem. Eng. 219, CE153–CE172 (1968)

    Google Scholar 

  26. Gunn, D.J., Pryce, C.: Dispersion in packed beds. Trans. IChemE 47, T341–T350 (1969)

    CAS  Google Scholar 

  27. Han, N.W., Bhakta, J., Carbonell, R.G.: Longitudinal and lateral dispersion in packed beds: effect of column length and particle size distribution. AIChE J. 31, 277–288 (1985)

    Article  CAS  Google Scholar 

  28. Harleman, D.R.F., Rumer, R.: Longitudinal and lateral dispersion in an isotropic porous medium. J. Fluid Mech. 16, 1–12 (1963)

    Article  Google Scholar 

  29. Harrison, D., Lane, M., Walne, D.J.: Axial dispersion of liquid on a column of spheres. Trans. IChemE 40, 214–220 (1962)

    Google Scholar 

  30. Hiby, J.W., Schummer, P.: Zur messung der transversalen effektiven diffusion in durchstromten fullkorpersaulen. Chem. Eng. Sci. 13, 69–74 (1960)

    Article  CAS  Google Scholar 

  31. Higbie, S.: The rate of absorption of a pure gas into a still liquid during short periods of exposure. Trans. AIChE J. 31, 365–389 (1935)

    CAS  Google Scholar 

  32. Hunt, B.: Dispersive sources in uniform groundwater flow. J. Hydraul. Div.–Proc. Am. Soc. Civil Eng. 104, 75–85 (1978)

    Google Scholar 

  33. Klinkenberg, A., Krajenbrink, H.J., Lauwerier, H.A.: Diffusion in a fluid moving at uniform velocity in a tube. Ind. Eng. Chem. 45, 1202–1208 (1953)

    Article  CAS  Google Scholar 

  34. Leonard, B.P.: Simple high-accuracy resolution program for convective modelling of discontinuities. Int. J. Num. Meth. Fluids 8, 1291–1318 (1988)

    Article  Google Scholar 

  35. Marrero, T.R., Mason, E.A.: Gaseous diffusion coefficients. J. Phys. Chem. Ref. Data 1, 3–25 (1972)

    Article  CAS  Google Scholar 

  36. Mair, R.W., Hurlimann, M.D., Sen, P.N., Schwartz, L.M., Patz, S., Walsworth, R.L.: Tortuosity measurement and the effects of finite pulse widths on xenon gas diffusion NMR studies of porous media. Mag. Reson. Imag. 193, 345–351 (2001)

    Article  Google Scholar 

  37. Moon, P., Spencer, D.E.: Field theory handbook (2nd ed). Springer, Berlin (1971)

    Book  Google Scholar 

  38. National Research Council: International critical tables–Volume 5. McGraw-Hill International Editions, New York (1929)

    Google Scholar 

  39. Ogata, A., Banks, R.B.: A solution of differential equation of longitudinal dispersion in porous media. US Geolog. Surv. Prof. Pap. 411-A:7–12 (1961)

    Google Scholar 

  40. Perkins, T.K., Johnston, O.C.: A review of diffusion and dispersion in porous media. Soc. Petrol. Eng. J. 2, 70–84 (1963)

    Google Scholar 

  41. Perry, R.H., Green, D.: Perry’s chemical engineer’s handbook (6th ed). McGraw-Hill International Editions, New York (1984)

    Google Scholar 

  42. Pinto, A.M.F.R., Guedes de Carvalho, J.R.F.: Transverse dispersion in granular beds. Part III: Mass transfer around particles dispersed in granular beds of inerts and the combustion of carbon particles in beds of sand. Trans. IChemE 68, 503–509 (1980)

    Google Scholar 

  43. Plautz, D.A., Johnstone, H.F.: Heat and mass transfer in packed beds. AIChE J. 1, 193–199 (1955)

    Article  CAS  Google Scholar 

  44. Reid, R.C., Prausnitz, J.M., Poling, B.E.: The properties of gases and liquids (4th ed). McGraw-Hill International Editions, New York (1988)

    Google Scholar 

  45. Rifai, M.N.E., Kaufman, W.J., Todd, D.K.: Dispersion phenomena in laminar flow through porous media. University of California, Sanitary Engineering Report 3. Inst. Eng. Res. Series 90, 1–157 (1956)

    Google Scholar 

  46. Robbins, G.A.: Methods for determining transverse dispersion coefficients of porous media in laboratory column experiment. Water Resour. Res. 25, 1249–1258 (1989)

    Article  CAS  Google Scholar 

  47. Roemer, G., Dranoff, J.S., Smith, J.M.: Diffusion in packed beds at low flow rates. Ind. Eng. Chem. Fund. 1, 284–287 (1962)

    Article  CAS  Google Scholar 

  48. Sherwood, T.K., Pigford, R.L., Wilke, C.R.: Mass Transfer. McGraw-Hill International Editions, Tokyo (1975)

    Google Scholar 

  49. Sinclair, R.J., Potter, O.E.: The dispersion of gas in flow through a bed of packed solids. Trans. IChemE 43, T3–T9 (1965)

    CAS  Google Scholar 

  50. Stephenson, J.L., Stewart, W.E.: Optical measurements of porosity and fluid motion in packed beds. Chem. Eng. Sci. 41, 2161–2170 (1986)

    Article  CAS  Google Scholar 

  51. Sun, N.Z.: Mathematical modelling of groundwater pollution. Springer, New York (1996)

    Google Scholar 

  52. Taylor, G.: Dispersion of soluble matter in solvent flowing slowly through a tube. P. Roy Soc. A –Math. Phy. 219, 186–203 (1953)

    Article  CAS  Google Scholar 

  53. Uno, S.: Mass Transfer from naphthalene slabs. PhD Dissertation, Illinois Institute of Technology, Chicago (1958)

    Google Scholar 

  54. Van Genuchten, M.Th., Alves, W.J.: Analytical solutions of the one-dimensional convective-dispersive solute transport equation. Tech. Bull. U.S. Dep. Agric. 1661, 149–165 (1982)

    Google Scholar 

  55. Vortmeyer, D., Schuster, J.: Evaluation of steady flow profiles in rectangular and circular packed beds by a variational method. Chem. Eng. Sci. 38, 1691–1699 (1983)

    Article  CAS  Google Scholar 

  56. Wakao, N., Funazkri, T.: Effect of fluid dispersion coefficients on particle-to-fluid mass transfer coefficients in packed beds. Chem. Eng. Sci. 33, 1375–1384 (1978)

    Article  CAS  Google Scholar 

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Correspondence to Frank A. Coutelieris .

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Coutelieris, F.A., Delgado, J.M.P.Q. (2012). Experimental and Numerical Investigation of Mass Transport in Porous Media. In: Transport Processes in Porous Media. Advanced Structured Materials, vol 20. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27910-2_6

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