Analytical Description of Heat Transfer by Free Convection from Isothermal Horizontal Conic in Unlimited Space

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 is presented. The solution is based on typical for natural convection assumption that normal to the surface component of velocity is negligibly small in comparison to tangential one. The mean value of heat transfer coefficient represented by double integral over the surface is evaluated numerically for angles = 0, 30, 45, 60, 75 degrees. The solution is given in the form of the constant = / in Nusselt - Rayleigh relation. The result for limit case of conic under considerations is in good agreement with ones of vertical round plate = 0. It may be received as a partial verification of our results