An Igloo is Built in the Shape of a Hemisphere - Engineering Assignment Help

Assignment Task:

Task:

1. (20 points) An igloo is built in the shape of a hemisphere, with an inner radius of 1.8 m and walls of compacted snow that are 0.5 m thick. On the inside of the igloo, the surface heat transfer coefficient is 6 W/mt K (1.), on the outside, under normal wind conditions, it is 20 W/m2• K (h.). The thermal conductivity of compacted snow is 0.15 W/m•. The temperature of the ice cap on which the igloo sits is -20°C and has the same thermal conductivity as the compacted snow. the occupants' body heat provides a continuous source of 360 W within the igloo. The outside air temperature is To, = 40°C. 

(a) Calculate the inside air temperature (T.,), inside wall temperature and floor temperature (T...)• Assume ',ice., = (b) Calculate the heat lost through the wall and heat loss through the ice cap. (c) Repeat parts (a) and (b) if = 0.075 W/m-K. Comment on the results. (d) Repeat parts (a) and (b) if kce.„ = 1.5 W/m-K (e) Plot T., Tc..ig, and T... vs. h, = 10-100 W/m2-K for wall thickness of 0.25, 0.50, 0.75, and 1.0 m. Comment on the results. 
 

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