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Time-Dependent Instabilities of Rayleigh-Bénard Convection in Boxes

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Summary

The sequence of instabilities in Rayleigh-Bénard convection is studied for the case of rectangular boxes with low aspect ratio (length:width:height) which are heated from below and cooled from above. The different steady, transient and time-dependent solutions are calculated by means of an explicit finite difference method for selected values of Rayleigh number, Prandtl number and aspect ratio. The numerical results are compared with experimental observations using optical measuring techniques like interferometry and streakline-photography.

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References

  1. Kirchartz, K.R.; Oertel, H. jr.: Three-dimensional convection in rectangular boxes. J. Fluid Mech. 192 (1988) 249–286

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  2. Kirchartz, K.R.: Dreidimensionale Konvektion in quaderförmigen Behältern. Habilitationsschrift, Universität Karlsruhe, 1988

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  3. Kirchartz, K.R.: Numerische Simulation von Strukturänderungen bei dreidi- mensionalen Konvektionsströmungen. Z. Flugwiss. Weltraumforsch. 13 (1989) 1–7

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  4. Kessler, R.: Nonlinear transition in three-dimensional convection. J. Fluid Mech. 174 (1987) 357–379

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© 1990 Springer-Verlag Berlin Heidelberg

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Kirchartz, K.R. (1990). Time-Dependent Instabilities of Rayleigh-Bénard Convection in Boxes. In: Arnal, D., Michel, R. (eds) Laminar-Turbulent Transition. International Union of Theoretical and Applied Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84103-3_36

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  • DOI: https://doi.org/10.1007/978-3-642-84103-3_36

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-84105-7

  • Online ISBN: 978-3-642-84103-3

  • eBook Packages: Springer Book Archive

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