An instrumentation transmitter pod is a box contain-ing

Chapter 12, Problem 12.101

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An instrumentation transmitter pod is a box contain-ing electronic circuitry and a power supply for send-ing sensor signals to a base receiver for recording.Such a pod is placed on a conveyor system, whichpasses through a large vacuum brazing furnace asshown in the sketch. The exposed surfaces of the podhave a special diffuse, opaque coating with spectralemissivity as shown.To stabilize the temperature of the pod and preventoverheating of the electronics, the inner surface of thepod is surrounded by a layer of a phase-change mate-rial (PCM) having a fusion temperature of 87C and aheat of fusion of 25 kJ/kg. The pod has an exposedsurface area of 0.040 m2and the mass of the PCM is 1.6 kg. Furthermore, it is known that the powerdissipated by the electronics is 50 W. Consider thesituation when the pod enters the furnace at a uni-form temperature of 87C and all the PCM is in thesolid state. How long will it take before all the PCMchanges to the liquid state?

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