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Page 43 of the above source describes a method, using data from Table 2.1 (pg15). I believe the data in the table has to be scaled for different pressures.
I think they used the following thermal resistances:
One due to convection from exhaust gas (same as for regen cooling I think?)
Second due to the thermal conductivity of the solid ablator, using thermal conductivities in Table 2.1 (pg 15)
Third due to engine wall (usually metal, e.g. copper).
Some kind of conduction away from the wall - possibly black body radiation?
I think the modelled ablator erosion using:
Table 2.1 on page 15
Equation (5.1) on page 46
Other notes:
May be good to model the system as time dependent? (i.e. do a transient analysis)
List of methods for modelling ablative cooling systems.
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