Linearly-increasing Surface Temperature
The function SemiInf6(T_i, b, alpha, x, time) returns the temperature within a semi-infinite body in which the surface temperature is increasing linearly with time. Solution is from Myers (1998).
The calling protocol is:
T = SemiInf6(T_i, b, alpha, x, time)
T_i = initial temperature of the material [C] or [K]
b = rate at which temperature is rising [C/s] or [K/s]
alpha = thermal diffusivity [m^2/s]
x = position relative to surface [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 are in [F] or [R], b is in [F/s] or [R/s], alpha is in [ft^2/hr], x is in [ft], and time is in [s].
T is the temperature in [C] or [K] (or [F] or [R] in English units)
Myers, G. E., Analytical Methods in Conduction Heat Transfer, 2nd Edition, AMCHT Publications, (1998).
$UnitSystem SI Mass J K Pa
$VarInfo T units=K
T=semiinf6(T_i, b, alpha,x,time)
Transient Conduction Index