Transient Heat Transfer Analysis
An uncooled (high melting point) metal thrust chamber is the simplest type to analyze, because there is no chemical change. Thermal equilibrium is not reached. The uncooled walls act essentially as a heat sponge and absorb heat from the hot gases. With the air of experimental data to determine some typical coefficients, it is possible in some cases to predict the transient heating of uncooled walls.
Heat is transferred from the hot gases to the wall, and during operation a changing temperature gradient exists across the wall. The heat transferred from the hot wall to the surrounding atmosphere, and by conduction of metal parts to the structure, is negligibly small during this transient heating. Each local point within the wall has its temperature raised as the burning process is extended in time. After the completion of the rocket's operation, the wall temperatures tend to equalize. A typical temperature-time-location history is given in Fig. 8-21. Here the horizontal line at T = 21°C denotes the initial
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