Abstract
Following the pioneering work by G. J. Kynch [7], the theory of one-dimensional kinematic waves has been applied to a variety of settling processes due to gravity and centrifugal forces, respectively, cf. [6], [10], [12] and [14] for surveys. While most of the work on gravity settling is concerned with constant cross sections, cross sectional areas changing with the distance from the axis of rotation play an important role in centrifugation processes. In particular, in cylindrical centrifuges without compartments the cross-sectional area is proportional to the radial coordinate, giving rise to rather peculiar kinematic-wave phenomena [2]. It is obvious that the formulation of the problem in terms of only one spatial coordinate (“one-dimensional flow”) is strictly valid in that case.
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References
Amberg, G., Dahlkild, A., and Bark, F.: Sediment transport in some unsteady settling processes. Poster 783, XVIth IUTAM Congress, Lyngby, Denmark, 1984.
Anestis, G., and Schneider, W.: Application of the theory of kinematic waves to the centrifugation of suspensions. Ing.-Archiv 53(1983), 399–407.
Baron, G., and Wajc, S.: Behinderte Sedimentation in Zentrifugen. Chem.-Ing.-Techn. 51(1979), 333.
Frömer, D., and Lerche, D.: An experimental approach for studying the sedimentation of dispersed particles in a centrifugal field. Arch. Appl. Mech. 72(2002), 85–95.
Herbolzheimer, E., and Acrivos, A.: Enhanced sedimentation in narrow tilted channels. J. Fluid Mech. 108(1981), 485–499.
Kluwick, A.: Kinematische Wellen. Acta Mechanica 26(1977), 15–46.
Kynch, G. J.: A theory of sedimentation. Trans. Faraday Soc. 48(1952), 166–176.
Schaflinger, U., Köppl, A., and Filipczak, G.: Sedimentation in cylindrical centrifuges with compartments. Ing.-Archiv 56(1986), 321–331.
Schneider, W.: Kinematic-wave theory of sedimentation beneath inclined walls. J. Fluid Mech. 120(1982), 323–346.
Schneider, W.: Kinematic wave description of sedimentation and centrifugation processes. In: Flow of Real Fluids (G. E. A. Meier and I. Obermeier, Eds.), Lecture Notes in Physics Vol. 235, Springer-Berlin, 1985, pp.326–337.
Smek, E.: Two-dimensional viscous flow of a suspension due to particle settling in a vertical vessel. Acta Mechanica 55(1985), 21–31.
Ungarish, M.: Hydrodynamics of Suspensions. Springer, Berlin 1993.
Ungarish, M.: On the separation of a suspension in a tube centrifuge. Int. J. Multiphase Flow 27 (2001), 1285–1291.
Wallis, G. B.: One-dimensional Two-phase Flow. McGraw-Hill, New York 1969.
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Schneider, W. (2003). On the One-Dimensional Flow Approximation in Sedimentation Processes. In: Gyr, A., Kinzelbach, W. (eds) Sedimentation and Sediment Transport. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0347-5_19
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DOI: https://doi.org/10.1007/978-94-017-0347-5_19
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