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ANALYTIC-NUMERICAL MODEL OF A CONVECTIVE BOUNDARY LAYER AND HEAT TRANSFER ON A HORIZONTAL CONE

Abstract

An approximate analytical solution of a two dimensional problem for stationary NavierStokes, continuity and Fourier-Kirchhoff equations describing a free convective heat transfer from an isothermal cone is presented. The problem formulation is based on assumptions typical for natural convection: non-compressibility and the Boussinesq approximation. The solution is based on Frobenius expansions at the vicinities of two points: the initial point and the singular point of the boundary layer equation. Numerical matching of the expansions and Nusselt number evaluations are traced.

Keywords:

natural convection, Fourier-Kirchhoff equations, boundary layer equation, isothermal cone, matching of Frobenius expansions

Details

Issue
Vol. 13 No. 1-2 (2009)
Section
Research article
Published
2009-06-30
Licencja:
Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Authors

  • SERGEY LEBLE

    Gdansk University of Technology
  • WERONIKA PELC

    Gdansk University of Technology

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