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1. (25 points) Consider a gentleman generating 60 W of metabolic heat steadily w

ID: 702579 • Letter: 1

Question

1. (25 points) Consider a gentleman generating 60 W of metabolic heat steadily while doing sedentary work, and dissipating it by convection and perspiration. He is wearing clothes made of I-mm-thick synthetic fabric (k0.13 W/m °C) that covers the body completely. The ambient air is at 30°C, the heat transfer coefficient at the outer surface is 15 W/m2·°C, and the inner surface temperature of the clothes can be taken to be 32°C. Treating the body of this person as a 25-cm-diameter, 1.7-m-long cylinder determine the fraction of heat lost from him by perspiration.

Explanation / Answer

Total metabolic heat = convection + perspiration

area = PI*r*h

r is radius = d/2 = 25/2 = 12.5cm

h= height =1.7m

area= 3.14*1.7*12.5*10-2 =0.667m2

60 = h*a*(32-30)+ k*a*(32-30)/l + persipiration

here h= 15 W/m2C

k=0.13 W/m C; l=1.7

60= 15*0.667*2 + 0.13*3.14*0.125*2 + persipiration

therefore heat lost by persipiration is 39.888W