Elevated Temperature Region for Semi-Infinite Body Adjacent to the Adiabatic Surface
Function SemiInf12(T_i, alpha, a, DELTAT, x, time) returns the temperature within a semi-infinite body that has an initial temperature that is non-uniform. The region immediately adjacent to the adiabatic surface (0 < x < a) is elevated by an amount DELTAT relative to the rest of the material, which is at T_i.
The calling protocol is:
T = SemiInf12(T_i, alpha, a, DELTAT, x, time)
T_i = temperature far from the surface [C] or [K]
alpha = thermal diffusivity [m^2/s]
a = extent of the elevated temperature region [m]
DELTAT = temperature elevation [C] or [K]
x = position relative to surface [m]
time = time relative to beginning of heat flux cycle [s]
This function can be used with English units set in EES. In this case, T_i is in [F] or [R], alpha is in [ft^2/hr], a is in [ft], DELTAK is in [F] or [R], x is in [ft], and time is in [s].
T is the temperature in [C] or [K] (or [F] or [R] in English units)
Carslaw, H.S. and J.C. Jaeger, Conduction of Heat in Solids, 2nd Edition, Oxford, (1959).
$UnitSystem SI Mass J K Pa Radian
T=semiinf12(T_i, alpha, a, DELTAT, x, time)
Transient Conduction Index