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Fundamentals of Heat and Mass Transfer by M. Thirumaleshwar

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Chapter 4

One-dimensional Steady State Heat Conduction without Heat Generation

4.1 Introduction

In this chapter, we shall take up the study of one-dimensional, steady state heat conduction, without heat generation in a few common geometries such as plane slab, cylindrical shell and spherical shell. By one-dimensional conduction, we mean that temperature variation is significant only in one-dimension and is negligible in other dimensions; and, steady state means that the temperature does not vary with time at any location. Obviously, solution of differential equation governing one-dimensional conduction will be much easier than that of the general differential equation for three-dimensional conduction.

There are many practical instances where ...

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