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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

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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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
Transcribed Image Text: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
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