Pin fins are provided to increase the heat transfer rate from a hot surface. Two arrangements are available: (i) 6 fins of 100 mm length and (ii) 10 fins of 60 mm length. By calculation, show which of...

Pin fins are provided to increase the heat transfer rate from a hot surface. Two arrangements are available: (i) 6 fins of 100 mm length and (ii) 10 fins of 60 mm length.

By calculation, show which of these arrangements is more effective.

Thermal conductivity for the fin material = 300 W/mK; convection heat transfer coefficient = 20 W/m2K; cross-sectional area of the fin = 2 cm2; perimeter of the fin = 5 cm; the temperature of the hot surface to which the fins are attached = 503K; the surrounding air temperature = 303K.