A rocket engine nozzle is coated with a ceramic material having the following properties k 1 73 Btu h ft F, 0 35 ft 2 h The convective heat transfer coefficient between the nozzle and the gases, which are at 3000F, is 200 Btu h ft 2 F How long after start up will it take for the temperature at the ceramic surface to reach 2700F What will be the temperature at a point 1 2 in from the surface at this time The nozzle is initially at 0F

Question: A rocket-engine nozzle is coated with a ceramic material having the following properties: k = 1.73 Btu/h ft F, = 0.35 ft 2 /h.

A rocket-engine nozzle is coated with a ceramic material having the following properties: k = 1.73 Btu/h ft °F, α = 0.35 ft² /h. The convective heat-transfer coefficient between the nozzle and the gases, which are at 3000°F, is 200 Btu/h ft² °F. How long after start-up will it take for the temperature at the ceramic surface to reach 2700°F? What will be the temperature at a point 1/2 in. from the surface at this time? The nozzle is initially at 0°F.

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