2. Consider steady one-dimensional heat conduction in a pin fin of constant diameter D, like the one shown below, with constant thermal conductivity k. The fin is losing heat by convection to the ambient air at T, with a heat transfer coefficient of h. 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 T, and T, for the case of specified temperature at the fin base and negligible heat transfer at the fin tip. Temperatures are in °C. D L

2. Consider steady one-dimensional heat conduction in a pin fin of constant diameter D, like the one shown below, with constant thermal conductivity k. The fin is losing heat by convection to the ambient air at T, with a heat transfer coefficient of h. 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 T, and T, for the case of specified temperature at the fin base and negligible heat transfer at the fin tip. Temperatures are in °C. D L

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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Concept explainers

Conduction and Convection

When energy travels from one object to another it is said to have undergone heat transfer. Heat transfer is nothing but the transfer of thermal energy or internal energy from one thing to another, like e.g., when a vessel with water, kept on top of a burner, heats up because of the flame underneath it.

Question

2. Consider steady one-dimensional heat conduction in a pin fin of constant diameter D, like
the one shown below, with constant thermal conductivity k. The fin is losing heat by
convection to the ambient air at T, with a heat transfer coefficient of h. 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 T, and T, for the case of specified
temperature at the fin base and negligible heat transfer at the fin tip. Temperatures are in °C.
D
L

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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