S, tana x -Lx+ L2
,(x) = To (TO (L,))exp (31)
mc1,V +R,(x-L,)
for (X )L,) and x= X, : L
2zU, tan a x 1x + L X
T() = T (T T)exp V (32)
c ,v + R,(x X,)
Then in order to solve for the wall temperatures, a specific equation that works for all
three regions is shown below.
h To + h
T, = where i = ,20, v (33)
h, +h,
These are the main important characteristics needed in order to study what is occurring in
the chambers. The wall temperature being the most important shows how the foam will
affect the overall heat transfer throughout the chamber.
Similarly a constant heat flux simulation is generated to compare with the free
stream simulation. This is used to simulate how the test rig reacts for comparison with
the experimental results as well as what takes place in real simulations with the free
stream gases. Again the first step is to calculate the liquid phase of the coolant.
OT. q P
Tm q where P = 2TR, (x) (34)
cx he ,
(x) = Tm, + 2.qs [Lx tan al x2 tan al + Rox (35)
Rx (R Roi (T _- c
XL = L, + (3 )
Stan aL tan a, ;rq, tan a,