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.

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.

$UnitSystem SI K Pa J

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]}