Cooling of Aluminum Plate, Cylinder and Sphere Induced by Heat Transfer

Abstract

Cooling of aluminum plate, cylinder and sphere induced by heat transfer was simulated by use of direct solving method of differential equation. Representative sizes of the plate, cylinder and sphere as well as heat transfer coefficient were varied in the simulation. The results of simulation showed that the cooling rate of surface in Newton’s raw was the ratio of surface area times transfer-induced heat flux to volume times specific heat. Difference in temperature between center and surface was found to be a half Biot number multiplied by the surface temperature in common among plate, cylinder and sphere. Temperature distribution between center and surface was found to be always parabola, the top of which lie at center, causing smooth heat conduction within the volume. Difference between the present result of simulation and Heisler Chart was also made clear.