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.

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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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. 

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