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A comparison value for results on convection in bounded geometries

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Abstract

A very conservative lower bound for buoyancy driven convection in bounded geometries is obtained. This bound is extremely simple to evaluate and is used to expose inconsistencies in some of the earlier published numerical results.

Zusammenfassung

Es wird eine sehr konservative untere Grenze für natürliche Konvektion in begrenzten Gebieten erhalten. Die Grenze läßt sich äußerst einfach berechnen; sie wird benützt um auf inkonsistente Ergebnisse in veröffentlichten numerischen Resultaten hinzuweisen.

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References

  • S. S. Agrawal,Nonlinear free surface convection in a bounded cylindrical geometry. Ph. D. Thesis, Illinois Institute of Technology, 1980.

  • I. Catton, J. Heat Transfer, Trans., ASME92 c, 186–187 (1970).

    Google Scholar 

  • I. Catton, Int. J. Heat Mass Transf.15, 665–672 (1972).

    Google Scholar 

  • I. Catton and D. K. Edwards, AIChE J.16, No. 4, 594–601 (1970).

    Google Scholar 

  • G. S. Charlson and R. L. Sani, Int. J. Heat & Mass Transf.13, 1479–1496 (1970).

    Google Scholar 

  • R. P. Davies-Jones, J. Fluid Mech.,44, 695–704 (1970).

    Google Scholar 

  • D. K. Edwards and W. M. Sun, Paper 7/62, 1970, Int. Solar Energy Soc. Conference. Melbourne, Australia, 1970.

  • P. A. Jennings and R. L. Sani, J. Heat Transfer, Trans. ASME94, 234–236 (1972).

    Google Scholar 

  • C. A. Jones and D. R. Moore, Geophys. & Astrophys. Fluid Dyn.11, No. 4, 245–270 (1979).

    Google Scholar 

  • R. Narayanan, J. Eng. Math.17, 223–232 (1983).

    Google Scholar 

  • R. Narayanan and A. E. Abasaeed, Int. Comm. Heat & Mass Transfer12, 287–298 (1985).

    Google Scholar 

  • M. Sherman and S. Ostrach, J. Appl. Mech. Trans. ASME34, 308–312 (1967).

    Google Scholar 

  • J. S. Vrentas, C. M. Vrentas, R. Narayanan and S. S. Agrawal, Appl. Sci. Research39, 277–299 (1982).

    Google Scholar 

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Authors and Affiliations

  1. Dept. of Chemical Engineering, University of Florida, 32611, Gainesville, Florida, USA

    A. Nadarajah & R. Narayanan

Authors
  1. A. Nadarajah
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  2. R. Narayanan
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Nadarajah, A., Narayanan, R. A comparison value for results on convection in bounded geometries. Z. angew. Math. Phys. 37, 280–283 (1986). https://doi.org/10.1007/BF00945089

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  • DOI: https://doi.org/10.1007/BF00945089

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