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Laminar free convection due to a point source of Buoyancy

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Summary

Similarity solutions are found for the laminar flow arising from a point source of buoyancy. Approximate analytic solutions in closed form are derived for the non-dimensional velocity and density distributions as a function of the Prandtl number. These approximations are shown to compare favourably with numerical solutions given by Fujii and to include the exact solutions of Yih for Prandtl numbers of 1 and 2.

Résumé

Il existe des solutions de similitude pour l'écoulement laminaire provenant d'une source ponctuelle de poussée. On obtient des solutions analytiques approximatives closes, sous forme de fonction du nombre de Prandtl, pour les distributions non dimensionnelles de vitesse et de densité. On démontre que ces approximations se comparent avantageusement aux solutions numériques présentées par Fujii, en plus de fournir les solutions exactes de Yih pour les nombres de Prandtl 1 et 2.

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References

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Author notes

  1. Paul J. Sutherland

    Present address: Directorate of Maritime Operational Research, Department of National Defence, Ottawa, Canada

Authors and Affiliations

  1. Dept. of Applied Mathematics, University of Western Ontario, London, Ontario, Canada

    Paul J. Sutherland

  2. Directorate of Maritime Operational Research, Department of National Defence, Ottawa, Canada

    Paul J. Sullivan

Authors
  1. Paul J. Sullivan
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  2. Paul J. Sutherland
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Sullivan, P.J., Sutherland, P.J. Laminar free convection due to a point source of Buoyancy. Journal of Applied Mathematics and Physics (ZAMP) 27, 671–675 (1976). https://doi.org/10.1007/BF01591178

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  • DOI: https://doi.org/10.1007/BF01591178

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