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.

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.

$UnitSystem SI K Pa J

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 = T=377.2 [K]}