Fourier Law

Abstract

In order to describe heat conduction phenomena, one usually uses a law formulated by Fourier [2], which has the following form for one-dimensional problems:

$$ \dot q = - \lambda \frac{{\partial T}} {{\partial x}}, $$

(1.1)

where, $\dot q$ is the heat flux expressed in W/m², λ — a thermal conductivity in W/(m·K), T — a temperature in °C or K, while x — a coordinate in m.