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Transport Processes and Separation Process Principles (Includes Unit Operations) Fourth Edition by Christie John Geankoplis

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4.3. CONDUCTION THROUGH SOLIDS IN SERIES

4.3A. Plane Walls in Series

In the case where there is a multilayer wall of more than one material present, as shown in Fig. 4.3-1, we proceed as follows. The temperature profiles in the three materials A, B, and C are shown. Since the heat flow q must be the same in each layer, we can write Fourier's equation for each layer as

Equation 4.3-1

Figure 4.3-1. Heat flow through a multilayer wall.

Solving each equation for ΔT,

Equation 4.3-2

Adding the equations for T1T2, T2T3, and T3T4, the internal ...

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