Consider a long, insulated cable supplying power to a community. It is elevated in the air by using poles. The ambient air temperature is 20oC and the convective heat transfer coefficient is h = 20 W/m2.K. Radiation exchange between the cable surface and the environment can be neglected. Make your calculations considering per meter-length. The wire carries 500 Amp current and has a resistance of 0.0001 Ohm/m. The diameter of the solid core wire is 1.0 cm and has a thermal conductivity of k = 20 W/m.K The electrically insulating material covering the wire-core has a thickness of 0.5 cm with a thermal conductivity of k = 0.01 W/m.K
a) What is the rate of heat loss from the cable to the environment in kW/meter?
b) What is the outside surface (exposed to air) temperature of the cable?
c) What is the temperature of the interface between the insulation sleeve and the core-wire carrying the electric power? If the sleeve material has to remain below 100 oC for the long term, would this operation be safe?
d) What and where is the maximum temperature in the conductive core?
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- Calculate the overall heat transfer coefficient of the steel pipe based on the inner surface. The inner diameter of the pipe is 12.7 cm, and the thickness of the pipe is 2.4 cm. The convection heat transfer coefficient in the pipe is 350 W / (m² ° C), the convective heat transfer coefficient outside the pipe is 25 W / (m² ° C), the thermal conductivity of the steel pipe is 15 W / (m ° C). If the pipe is used to deliver steam at 110 ° C and the ambient temperature is 20 ° C, determine the heat transfer rate of the pipe per meter. q = Watt / marrow_forwardConsider modeling a temperature sensor as a sphere having a thermal conductivity of 91 W/m-K, a density of 8900 kg/m³, and a specific heat of 444 J/kg-K. The sensor is in an environment where the heat transfer coefficient is 100 W/m²-K. Determine the maximum allowable diameter of the sensor if the 90% response time to a step-change in the fluid temperature, T∞, must be: • 10 second • 1 second . 0.01 secondarrow_forwardQUESTION 3 A steel pipe 150mm external diameter conveys steam at a temperature of 260°C and is covered by two layers of lagging, each 50mm thick. The thermal conductivity coefficient of the inside layer of lagging is 0.0865W/mK while that of the outside layer is 0.0952W/mK. The outside surface temperature of the steel pipe can be taken as being the same temperature of the steam. The ambient temperature is 27°C and the heat transfer coefficient of the outside surface is 15W/m2K. Calculate: 3.1 the heat lost/hr for a pipe length of 30m;arrow_forward
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