Function semiinf4(T_i,E``,rho,c,alpha,x,time) returns the temperature for a given position and time within a semi-infinite body exposed to an impulse of energy per unit area at the surface using the relation provided in Table 3-2 of Nellis and Klein.

T_i - initial temperature of the solid [C] or [K]

E`` - energy per unit area of impulse [J/m^2]

rho - density of solid [kg/m^3]

c - specific heat of solid [J/kg-K]

alpha - thermal diffusivity [m^2/s]

x - perpendicular distance from surface [m]

time - time relative to impulse (energy impulse occurs 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], E` is in Btu/ft^2, ,rho is in ft^2/lb_m, c is in Btu/lb_m-R, alpha is in ft^2/hr and x is in [ft]. Time must be in s.

$UnitSystem SI K Pa J

T_i=393[K]

E``=14000 [J/m^2]

rho=8891 [kg/m^3]

c=750 [J/kg-K]

alpha=0.000001[m^2/s]

x=0.0005 [m]

time=8 [s]

T=semiinf4(T_i,E``,rho,c,alpha,x,time)

{Solution: T=393.4 [K]}