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Wall Effects on the Motion of a Single Particle

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Low Reynolds number hydrodynamics

Part of the book series: Mechanics of fluids and transport processes ((MFTP,volume 1))

Abstract

The effect of containing walls on the rate of settling of a particle is, in many ways, similar to the effect of a second particle, discussed in Chapter 6. In order to treat the behavior of a group of particles settling in a container, it is necessary first to establish the effect of walls on the particles separately. These effects may then be combined with those due to particle interaction by an extension of the method of reflections discussed in Section 8–3. Rapid convergence appears to be obtained when the dimensions of the particle are small compared with those of the containing wall, and when the wall effect can be developed for each reflection.

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Author information

Authors and Affiliations

  1. Department of Chemical Engineering and Applied Chemistry, Columbia University, New York, New York, USA

    John Happel

  2. Department of Chemical Engineering, Cambridge, Massachusetts, USA

    Howard Brenner

Authors
  1. John Happel
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  2. Howard Brenner
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© 1983 Martinus Nijhoff Publishers, The Hague

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Happel, J., Brenner, H. (1983). Wall Effects on the Motion of a Single Particle. In: Low Reynolds number hydrodynamics. Mechanics of fluids and transport processes, vol 1. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-8352-6_7

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  • DOI: https://doi.org/10.1007/978-94-009-8352-6_7

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-247-2877-0

  • Online ISBN: 978-94-009-8352-6

  • eBook Packages: Springer Book Archive

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