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 expansionsDetails
- Issue
- Vol. 13 No. 1-2 (2009)
- Section
- Research article
- Published
- 2009-06-30
- Licencja:
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This work is licensed under a Creative Commons Attribution 4.0 International License.