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A theoretical consideration of a free convective boundary layer on an isothermal horizontal conic
Institution:1. Department of Theoretical and Mathematical Physics, Gdańsk University of Technology, ul.G. Narutowicza 11/12, Gdansk 80-952, Poland;2. Department of Chemical Apparatus and Machinery, Gdańsk University of Technology, ul.G. Narutowicza 11/12, Gdansk 80-952, Poland
Abstract:Approximate analytical solution of simplified Navier–Stokes and Fourier–Kirchhoff equations describing free convective heat transfer from isothermal surface of horizontal conic of the base angle α has been presented. The solution is based on the typical for natural convection assumption that the normal to the surface component of velocity is negligibly small in comparison with the tangential one. The results obtained for boundary cases of conic under considerations are in good agreement with known solutions for a horizontal cylinder α=π/2 and a vertical round plate α=0.
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