A straight fin fabricated from 2024 aluminum alloy ( 185 W/m·K) has a base thickness of 3 mm and a length of 15 mm. Its base temperature is 100°C, and it is exposed to a fluid for which [infinity] 20°C and 75 W/m2·K. For the foregoing conditions and a fin of unit width, compare the fin heat rate, efficiency, and volume for rectangular, triangular, and parabolic profiles.

Awall of 0.5m thickness is to be constructed from a material which has average thermal conductivity of 1.4 w/mk. the wall is to be insulated with a material having an average thermal conductivity of 0.35 w/mk so that heat loss per square meter shall not exceed 1450 w. assume inner wall surface temperature of 1200°c and outer surface temperature of the insulation to be 15°c. calculate the thickness of insulation required.