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Special solutions of the Boussinesq-equations for free convection flows in a vertical gap

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Abstract

The free convection in a vertical gap is generalized to realize new analytical solutions of the Boussinesq-equations. The steady and time-dependent solutions for the temperature and velocity distribution are discussed in detail depending on the mass flux in vertical direction. The range of existence for flows with and without back flow is obtained. The transient behaviour of the solutions during the time-dependent development displays interesting physical behaviour.

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Authors and Affiliations

  1. Fachhochschule Offenburg, Badstr. 24, D 77652, Offenburg, Germany, Germany

    Karl Bühler

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  1. Karl Bühler
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Correspondence to Karl Bühler.

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Dedicated to Prof. Dr.-Ing., Dr. techn. E.h. Jürgen Zierep to his 75. birthday.

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Bühler, K. Special solutions of the Boussinesq-equations for free convection flows in a vertical gap. Heat and Mass Transfer 39, 631–638 (2003). https://doi.org/10.1007/s00231-003-0454-8

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  • DOI: https://doi.org/10.1007/s00231-003-0454-8

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