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Exponential similarity free convection boundary layers over curved surfaces

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Summary

This paper reports novel similarity solutions of exponential type for the steady free convection boundary-layer flow over two-dimensional heated bodies of arbitrary surfaces. The existence of a two-parameter family of curved surfaces is shown to exist. The geometrical characteristics of these surfaces, described in terms of elementary transcendental functions, are discussed in detail. Compared to the well known body shapes which permit similar free convection flows of power-law type, substantial differences (as cusps at the leading edge, concave shapes going over in horizontal plateaus, etc.) have been found.

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Author notes

  1. E. Magyari (Chair of Physics of Buildings) & B. Keller (Chair of Physics of Buildings)

    Present address: Institute of Building Technology, Swiss Federal Institute of Technology (ETH) Zurich, CH-8093, Zurich, Switzerland

  2. I. Pop

    Present address: Faculty of Mathematics, University of Cluj, R-3400, CP 253, Cluj, Romania

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    1. E. Magyari
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    2. I. Pop
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    3. B. Keller
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    Magyari, E., Pop, I. & Keller, B. Exponential similarity free convection boundary layers over curved surfaces. Acta Mechanica 152, 217–226 (2001). https://doi.org/10.1007/BF01176956

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    • DOI: https://doi.org/10.1007/BF01176956

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