Theoretical Investigation of the Effect of the Thermal Conductivity of a Wall on the Processes of Free-Convective Heat Transfer in a Vertical Cylindrical Tank

The natural-convective heat transfer is studied in a vertical cylindrical tank with a heat-conducting wall. It is demonstrated that the theory of local self-similarity may be applied in the case of a uniform heat supply to the side wall in the quasi-stationary mode for a free-convective boundary layer. This theory enables one to derive simple analytical formulas for some hydrodynamic and thermal characteristics. The analytical results are compared with the numerical simulation results. The effect of the wall thermal conductivity on the heat-transfer processes in the mode of convection development is investigated numerically under conditions of short heating times.