uniform heat flux on the surface is prevalent. These two models will be built in order to
show real life simulation as well as experimental simulation. Starting with the free
stream combustion gases, the simulation is built on the basis of changing area with
respect to the distance x down the chamber. The analysis is also carried out for sub
critical fluids. The first step is to study the liquid phase of the coolant. Shown below are
the steps taken in order to figure out the wall temperatures, coolant temperatures, and the
distance down the chamber until the bulk starts to boil.
R, = (L x)tana, +R (21)
(21)
R2 = (x L )tan a2 + R
T- Tm(x) ex LA, (22)
ST(x)= exp 2 UL Rl (x)Cx (23)
To T, pl
,(x) = T T- (T ,,)exp- 2 L Lx tan a 2 tan a + Rox (24)
Using these equations and knowing that the temperature of the coolant at the boiling
point will be the boiling temperature of the coolant, thus solving for the boiling point.
in(T Tb 2~U, (L XL tan a Xa 2 tan a, + RXL (25)
R, R 2 c, lTo Tb
XL t-- o- + L -- L~ I---n T (26)
tan a, tan a, UL tan a, T, -T
This shows the important aspects of the liquid phase and how to apply them to a nozzle
geometry system. Next is the two-phase region, which is characterized by the nucleate
boiling as well as forced convection. In this region the assumption that the coolant