# One-Dimensional Heat Conduction with Temperature-Dependent Conductivity

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Consider the following nonlinear boundary value problem , with , , and . This equation with the boundary conditions (BCs) describes the steady-state behavior of the temperature of a slab with a temperature-dependent heat conductivity given by .

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Contributed by: Housam Binous, Brian G. Higgins, and Ahmed Bellagi (April 2013)

Open content licensed under CC BY-NC-SA

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Reference

[1] W. F. Ramirez, *Computational Methods for Process Simulation*, 2nd ed., Oxford: Butterworth–Heinemann, 1997.

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