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Axisymmetrical Flow

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Low Reynolds number hydrodynamics

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

Abstract

The introduction of a stream function serves to unify the method of attack on all two-dimensional incompressible fluid motions. For those situations the solution of the equations of motion is reduced to the search for a single scalar function. Unfortunately, in the general case of three-dimensional motions this unified method of approach is denied us. Specific solutions of the equations of motion must be developed for each different boundary geometry. There exist, however, a number of classes of three-dimensional flows which can still be uniquely characterized by means of a single scalar function. Each of these involves a certain mode of symmetry in the flow pattern.

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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). Axisymmetrical Flow. 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_4

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  • DOI: https://doi.org/10.1007/978-94-009-8352-6_4

  • 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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