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_{0}of the combustion chamber (assume 1 dimensional heat transfer). The chamber has thickness d, and heat transfer coefficient k. If combustion is assumed to occur instantaneously, and the engine runs at steady state (constant chamber temperature) what is the inner wall temperature if the outer surface has temperature T after t seconds?

Some background: I have a rocket engine that I need to measure the inner wall temperature on using thermocouples affixed to various locations on the outer surface. The operation time was previously 6 seconds. I'm assuming steady state operation, and one dimensional heat transfer from the inner wall to the reference junction of the thermocouple. I just haven't taken heat transfer and don't know the relationship between outer temperature, inner temperature, wall thickness, heat transfer coefficient, and time.

Any help would be greatly appreciated.

Thanks!