Consider 1-D steady heat conduction in a composite plane wall (shown below) consisting of two layers A and B in perfect contact at the interface. The wall involves no heat generation. The nodal network of the wall consists of nodes 0 (at the left face), 1 (at the interface), and 2 (at the right face) with a uniform nodal spacing of Ax. Using the energy balance approach, obtain the finite difference formulation of this problem for the case of insulation at the left boundary (node 0) and radiation at the right boundary (node 2) with an emissivity of ɛ and surrounding temperature of Tur.

Consider 1-D steady heat conduction in a composite plane wall (shown below) consisting of two layers A and B in perfect contact at the interface. The wall involves no heat generation. The nodal network of the wall consists of nodes 0 (at the left face), 1 (at the interface), and 2 (at the right face) with a uniform nodal spacing of Ax. Using the energy balance approach, obtain the finite difference formulation of this problem for the case of insulation at the left boundary (node 0) and radiation at the right boundary (node 2) with an emissivity of ɛ and surrounding temperature of Tur.

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

1. Consider 1-D steady heat conduction in a composite plane wall (shown below) consisting of
two layers A and B in perfect contact at the interface. The wall involves no heat generation.
The nodal network of the wall consists of nodes 0 (at the left face), 1 (at the interface), and 2
(at the right face) with a uniform nodal spacing of Ax. Using the energy balance approach,
obtain the finite difference formulation of this problem for the case of insulation at the left
boundary (node 0) and radiation at the right boundary (node 2) with an emissivity of ɛ and
surrounding temperature of Tsur.
A
B
Radiation
Insulated
Tsurr
Ax
2

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