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Uniform Heat Flux
The function semiinf2(T_i,q``_dot_s,k,alpha,x,time) returns the temperature for a given position and time within a semi-infinite body exposed to a uniform surface heat flux using the relation provided in Table 3-2 of Nellis and Klein.
Inputs:
T_i - initial temperature of the solid [C] or [K]
q``_dot_s - surface heat flux [W/m^2]
k - thermal conductivity [W/m-K]
alpha - thermal diffusivity [m^2/s]
x - perpendicular distance from surface [m]
time - time relative to flux application (flux begins at t=0) [s]
This function can be used with English units set in EES. In this case, T_i is in [F] or [R], q``_dot_s is in Btu/hr-ft^2-R, k is in Btu/hr-ft, alpha is in ft^2/hr and x is in [ft]. Time must be in s.
Example:
$UnitSystem SI K Pa J
$VarInfo T units=K
T_i=378[K]
q``_dot_s=2500 [W/m^2]
alpha=0.00010 [m^2/s]
k=50 [W/m-K]
x=0.001 [m]
time=200 [s]
T=semiinf2(T_i,q``_dot_s,k,alpha,x,time)
{Solution:
T=385.9 [K]}
Transient Conduction Index