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Constant Temperature Step
The function semiinf1(T_i,T_s,alpha,x,time) returns the temperature for a given position and time within a semi-infinite body exposed to a step change in the surface temperature using the relation provided in Table 3-2 of Nellis and Klein.
Inputs:
T_i - initial temperature of the solid [C] or [K]
T_s - surface temperature subsequent to step [C] or [K]
alpha - thermal diffusivity [m^2/s]
x - perpendicular distance from surface [m]
time - time relative to step change (step occurred at t=0) [s]
This function can be used with English units set in EES. In this case, T_i and DELTAT are in [F] or [R], alpha is in ft^2/hr and internally converted to ft^2/s. x is in [ft]. Time must be in s.
Example:
$UnitSystem SI K Pa J
$VarInfo T units=K
T_i=378[K]
T_s=303 [K]
alpha=0.00009547 [m^2/s]
x=0.05 [m]
time=2 [s]
T=semiinf1(T_i,T_s,alpha,x,time)
{Solution:
T=377.2 [K]
}
Transient Conduction Index