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Radial flow of a viscous, incompressible fluid between two stationary, uniformly porous discs

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Résumé

Le problème de l'écoulement constant d'un liquide visqueux laminaire incompressible entre deux disques, le liquide étant aspiré ou injecté à travers ses disques uniformément poreuses, est étudié. L'écoulement qui s'ensuit satisfait une équation differentielle non linéaire ordinaire d'un nombre Reynolds d'absorbtion, et cette équation est résolue par la technique de perturbation.

Summary

The problem of incompressible viscous laminar flow between two co-axial discs is studied when there is constant injection or suction at the discs. The resultant flow satisfies an ordinary non-linear differential equation which depends on a suction Reynolds number and this equation is solved by singular perturbation technique.

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Authors and Affiliations

  1. Dept. of Applied Mathematics, University of Liverpool, UK

    R. M. Terrill & J. P. Cornish

Authors
  1. R. M. Terrill
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  2. J. P. Cornish
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Terrill, R.M., Cornish, J.P. Radial flow of a viscous, incompressible fluid between two stationary, uniformly porous discs. Journal of Applied Mathematics and Physics (ZAMP) 24, 676–688 (1973). https://doi.org/10.1007/BF01597072

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  • DOI: https://doi.org/10.1007/BF01597072

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