LAMINAR NATURAL CONVECTION HEAT TRANSFER FROM ISOTHERMAL CONES WITH ACTIVE END

A new analytical model is developed to calculate laminar natural convection heat transfer from isothermal cones of arbitrary aspect ratio and orientation (tip downward, tip upward and horizontal) with active end for all values of Pr number. It is based on the new concept of Dynamic Body Gravity Function. This problem is also solved numerically for isothermal cones of different orientations. Results of this dynamic model for three different cones are compared with the present numerical solution and available experimental data. Excellent agreement between the present analytical model, the numerical solution and also the experimental data points in a wide range of Rayleigh number for all cones discussed shows that the present analytical method is a powerful tool for modeling laminar natural convection heat transfer from isothermal bodies.