Step-change in Temperature for Semi-Infinite Body Outside of Sphere
Function SemiInf7(T_i, T_s, alpha, a, r, time) returns the temperature within a semi-infinite that is located outside of a spherical surface and is subjected to a step change in the surface temperature. Solution is from Carslaw and Jaeger as reported in the Handbook of Heat Transfer.
The calling protocol is:
T = SemiInf7(T_i, T_s, alpha, a, r, time)
T_i = initial temperature of the material [C] or [K]
T_s = surface temperature at r = a [C] or [K]
alpha = thermal diffusivity [m^2/s]
a = radius of sphere [m]
r = radial position [m]
time = time relative to beginning of surface disturbance [s]
This function can be used with English units set in EES. In this case, T_i and T_s are in [F] or [R], alpha is in [ft^2/hr], a is in [ft], r is in [ft], and time is in [s].
T is the temperature in [C] or [K] (or [F] or [R] in English units)
Rohsenow, W.M., J.P. Hartnett, and Y.I. Cho, Handbook of Heat Transfer, 3rd Edition, McGraw Hill, (1998).
$UnitSystem SI Mass J C Pa
T_i = 100 [C]
a = 0.01 [m]
r = 0.02 [m]
T = semiinf7(T_i,T_s, alpha, a, r, time)
Transient Conduction Index