Question

A novel cooling setup contains hundreds of heat-conducting rods 1.5 cm in diameter surrounded by concentric ducts of 3 cm in diameter. Cooling water travels in the annulus region between the conducting rods and the concentric ducts. The uniform volumetric heat generation rate of each of these conducting rods is 5252 MW/m33 and the conducting rods have (k=32k=32 W/m⋅⋅K). For each of the concentric duct surfaces, h=2000h=2000 W/m22K.

(a) Considering an individual rod and duct pair, determine the mean temperature of the cooling water if the temperature of the surface of each concentric duct is 42 degreeC.

What is the mean temperature of the cooling water

Answer 1