The conduction heat transfer in an extended surface, known as a fin, yields the following equation for the temperature T, if the temperature distribution is assumed to be one-dimensional in x, where x is the distance from the base of the fin, as shown in figure: To Fin →→X T(X) d²T hp dx² KA h,T Heat Loss (T-T 0 dT dx Here, p is the perimeter of the fin, being 2R for a cylindrical fin of radius R; A is the cross-sectional area, being R2 for a cylindrical fin; k is the At x = 0: T=T₁ dT At x=L: dx =0 thermal conductivity of the material; T is the ambient fluid temperature; and h in the convective heat transfer coefficient. The boundary conditions are as follows: = 0 where L is the length of the fin. Solve this equation to obtain 7(x) by using Euler's method for R=1cm, h=20 W/m².K, k = 15 W/m-K, L = 25 cm, T=80°C, and T = 20°C.

The conduction heat transfer in an extended surface, known as a fin, yields the following equation for the temperature T, if the temperature distribution is assumed to be one-dimensional in x, where x is the distance from the base of the fin, as shown in figure: To Fin →→X T(X) d²T hp dx² KA h,T Heat Loss (T-T 0 dT dx Here, p is the perimeter of the fin, being 2R for a cylindrical fin of radius R; A is the cross-sectional area, being R2 for a cylindrical fin; k is the At x = 0: T=T₁ dT At x=L: dx =0 thermal conductivity of the material; T is the ambient fluid temperature; and h in the convective heat transfer coefficient. The boundary conditions are as follows: = 0 where L is the length of the fin. Solve this equation to obtain 7(x) by using Euler's method for R=1cm, h=20 W/m².K, k = 15 W/m-K, L = 25 cm, T=80°C, and T = 20°C.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter2: Steady Heat Conduction

Section: Chapter Questions

Problem 2.13P

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