Sedimentation and Flow Through a Porous Medium

  • Shih-I Pai
Part of the Vieweg Tracts in Pure and Applied Physics book series (VTPAP, volume 3)

Abstract

In this chapter, we discuss two limiting cases of fluid-solid flows: Sedimentation and flow through a porous medium. Roughly speaking, we may consider sedimentation as a small amount of solid particles moving in a large volume of fluid [1,4]. The best known example for this case is the motion of sand, gravel, stone and other solid particles in the river. The pneumatic transport of granular substance in channels is another example of this flow problem which has many industrial applications. Furthermore, the motion of sand and snow in natural winds also belongs to this class of flow problem even though it is different from the motion of sand in rivers. In section 2, we shall briefly review some essential points of sedimentation while in section 3, we discuss in details the transport of solid bodies in a liquid, especially in water. Finally we discuss in section 4 the transport of solid bodies in a gas, especially in the natural winds.

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References

  1. [1]
    Anderson, A. G.: Sedimentation. Sec. 18, Handbook of Fluid Dynamics, Ed. by V. L. Streeter, McGraw-Hill, New York, 1961.Google Scholar
  2. [2]
    Aronofsky, J. S.: Flow Through Porous Media. Chap. 88, Handbook of Eng. Mechanics, Ed. by W. Fluegge, McGraw-Hill, New York, 1962.Google Scholar
  3. [3]
    Buckley, S. E. and Leverett, M. C: Mechanism of Fluid Displacement in Sand, Trans. Amer. Inst. Min. Metallurg. Engrs. Vol. 146, p. 107–116, 1942.Google Scholar
  4. [4]
    Chien, N.: The present status of research on sediment transport. Paper No. 2824, Trans. Amer. Soc. of Civil. Eng. pp. 833–884, 1956.Google Scholar
  5. [5]
    Darcy, H. P. G.: Les fontaines publiques de la ville de Dijon, Paris, 1856.Google Scholar
  6. [6]
    Kalinske, A. A.: Criteria for determining sand transport by surface-creep and saltation. Trans. Am. Geophy. Union, Vol. 23, pp. 639–643,1942.CrossRefGoogle Scholar
  7. [7]
    Lamb, H.: Hydrodynamics. 6th Ed. Cambridge Univ. Press, 1932.Google Scholar
  8. [8]
    Linsley, R. K. jr., Köhler, M. A. and Paulhus, J. L. H.: Hydrology for Engineers, McGraw-Hill, New York, 1958.Google Scholar
  9. [9]
    Muskat, M.: The Flow of Homogeneous Fluids Through Porous Media. McGraw-Hill, New York, 1937.Google Scholar
  10. [10]
    Pai, S. I.: Viscous Flow Theory — II, Turbulent Flow. D. Van Nostrand, N.J. 1957.Google Scholar
  11. [11]
    Pai, S. I.: Introduction to The Theory of Compressible Flow. D. Van Nostrand, N.J. 1959.Google Scholar
  12. [12]
    Prandtl, L.: Essentials of Fluid Dynamics. Hafner Publishing Co., New York, 1952.Google Scholar
  13. [13]
    Richardson, J. G.: Flow Through Porous Media. Sec. 16, Handbook of Fluid Dynamics, Ed. V. L. Streeter, McGraw-Hill, New York, 1961.Google Scholar
  14. [14]
    Scheidegger, A. E.: The Physics of Flow through Porous Media. Macmillan, New York, 1957.Google Scholar
  15. [15]
    Scheidegger, A. E.: Hydrodynamics in Porous Media. Handbuch der Physik, Vol. VIII/2, pp. 625–662, Springer Verlag, Berlin, 1963.Google Scholar
  16. [16]
    Scheidegger, A. E.: Statistical hydrodynamics in porous media. Adv. in Hydroscience, Vol. 1, Ed. by V. T. Chow, pp. 161–181, Academic Press, New York, 1964.Google Scholar
  17. [17]
    Yih, C. S.: Dynamics of Non-homogeneous Fluids, Chap. 5, Macmillan, New York, 1965.Google Scholar
  18. [18]
    Yih, C. S.: A transformation for free surface flow in porous media. Phys. of Fluids, Vol. 7, pp. 20–24, 1964.CrossRefGoogle Scholar

Copyright information

© Springer Fachmedien Wiesbaden 1977

Authors and Affiliations

  • Shih-I Pai
    • 1
  1. 1.Institute for Physical Science and TechnologyUniversity of MarylandMarylandUSA

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