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MCS,PHD
Argosy University/ Phoniex University/
Nov-2005 - Oct-2011
Professor
Phoniex University
Oct-2001 - Nov-2016
A straight fin of uniform cross section is fabricated from a material of thermal conductivity 50 W/m ∙K, thickness w = 6 mm, and length L = 48 mm, and it is very long in the direction normal to the page. The convection heat transfer coefficient is 500 W/m2 ∙ K with an ambient air temperature of T∞ = 30°C. The base of the fin is maintained at Tb = 100°C, while the fin tip is well insulated.
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(a) Using a finite-difference method with a space increment of 4 mm, estimate the temperature distribution within the fin. Is the assumption of onedimensional heat transfer reasonable for this fin?
(b) Estimate the fin heat transfer rate per unit length normal to the page. Compare your result with the one-dimensional, analytical solution, Equation 3.81.
(c) Using the finite-difference mesh of part (a), compute and plot the fin temperature distribution for values of h = 10, 100, 500, and 1000 W/m2 ∙ K. Determine and plot the fin heat transfer rate as a function of h.
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