Heat Flow In An Infinite Region Bounded Internally By A Circular Cylinder With Forced Convection At The Surface

Abstract

Numerical values are given for the surface temperature of an infinite region bounded internally by a circular cylinder of radius a, which is illitially at constant temperature and has heat transfer with constant coefficient H at its surface. The surface temperature is tabulated for T = 01(0'01)0·1(0·1)1(1)10(10)100(100) 1000(1000)10000 and fJ = 0·1(0·1)1(1)10(10)100, and at a few intermediate values where T = at/a' and fJ = aH/k, with k, a, and t being the thermal conductivity, the diffusivity of the material, and the time respectively. The totaJ heat loss from the surface up to time t is also tabulated. Approximations for the functions tabulated are discussed, as well as the temperature at any point in the region. A brief account of the history of the problem and its applications is given.