1.21 The thermal conductivity in a particular plane wall depends as follows on the wall temperature, T (°C): k = A + BT, where A and B are constants. The temperatures are T₁ and T2 on either side if the wall, and its thickness is L. By integration of Fourier's law, develop an expression for q. At what temperature should k be evaluated to avoid the need for integration?

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
8th Edition
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
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Chapter1: Basic Modes Of Heat Transfer
Section: Chapter Questions
Problem 1.5P: To determine the thermal conductivity of a structural material, a large 15-cm-thick slab of the...
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1.21 The thermal conductivity in a particular plane wall depends as
follows on the wall temperature, T (°C): k = A + BT, where A and B
are constants. The temperatures are T₁ and T2 on either side if the
wall, and its thickness is L. By integration of Fourier's law, develop
an expression for q. At what temperature should k be evaluated to
avoid the need for integration?
Figure 1.21 Configuration for
Problem 1.22
(T_= 100°C)
h = 200 W/m² °C
T= 20°C-
Chapter 1: Introduction
0.08 m
T= 0°C
Pro
Sp
Transcribed Image Text:1.21 The thermal conductivity in a particular plane wall depends as follows on the wall temperature, T (°C): k = A + BT, where A and B are constants. The temperatures are T₁ and T2 on either side if the wall, and its thickness is L. By integration of Fourier's law, develop an expression for q. At what temperature should k be evaluated to avoid the need for integration? Figure 1.21 Configuration for Problem 1.22 (T_= 100°C) h = 200 W/m² °C T= 20°C- Chapter 1: Introduction 0.08 m T= 0°C Pro Sp
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