Function SemiInf11(T_i, alpha, k, q''_dot_s, omega, x, time) returns the temperature within a semi-infinite body subjected to a sinusoidally varying surface heat flux. The quasi-steady temperature distribution is returned.

The calling protocol is:

T = SemiInf11(T_i, alpha, k, q``_dot_s, omega, x, time)

T_i = temperature far from the surface [C] or [K]

alpha = thermal diffusivity [m^2/s]

k = thermal conductivity [W/m-K]

q``_dot_s = amplitude of surface heat flux [W/m^2]

omega = angular frequency of heat flux variation [rad/s] or [degree/s]

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], k is in [Btu/hr-ft-R], q``_dot_s is in [Btu/hr-ft^2], 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,

$UnitSystem SI Mass J K Pa Radian

T_i=300 [K]

alpha=1e-3 [m^2/s]

k=1 [W/m-K]

q``_dot_s=1e4 [W/m^2]

omega=1 [rad/s]

x=0.05 [m]

time=0.5 [s]

T =