5-23 Consider steady one-dimensional heat conduction in a pin fin of constant diameter D with constant thermal conductivity. The fin is losing heat by convection to the ambient air at Too with a convection coefficient of h, and by radiation to the surrounding surfaces at an average temperature of Turr The nodal network of the fin consists of nodes 0 (at the base), 1 (in the middle), and 2 (at the fin tip) with a uniform nodal spacing of Ax. Using the energy balance approach, obtain the finite difference formulation of this problem to determine Tand T for the case of specified temperature at the fin base and negligible heat transfer at the fin tip. All temperatures are in °C FIGURE P5-23 Turr To Radiation e h, To Convection

5-23 Consider steady one-dimensional heat conduction in a pin fin of constant diameter D with constant thermal conductivity. The fin is losing heat by convection to the ambient air at Too with a convection coefficient of h, and by radiation to the surrounding surfaces at an average temperature of Turr The nodal network of the fin consists of nodes 0 (at the base), 1 (in the middle), and 2 (at the fin tip) with a uniform nodal spacing of Ax. Using the energy balance approach, obtain the finite difference formulation of this problem to determine Tand T for the case of specified temperature at the fin base and negligible heat transfer at the fin tip. All temperatures are in °C FIGURE P5-23 Turr To Radiation e h, To Convection

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.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.10P: 5.10 Experiments have been performed on the temperature distribution in a homogeneous long cylinder...

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