# Fourier's law

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Resource type: Equation
Description: Fourier's Law of thermal conduction can have several forms and describes the transfer of thermal energy from a hot source to a cold one.

TeX format: J = \frac{\dot{q}}{A} = -k\frac{T_2 - T_1}{x}

J {J}= Flux (Jm-2s-1) {Jm^{-2}s^{-1}}
dq/dt {\dot{q}} = Heat transfer rate (Js-1) {Js^{-1}}
A {A} = Cross-sectional area (m-2) {m^{-2
T2 {T_2} = Hot source (>T1) temperature (K) {K}
T1 {T_1} = Cold source (<T2) temperature (K) {K}
x {x} = Distance between sources (m) {m}
k {k} = Thermal conductivity of substance between sources (Js-1m-1K-1) {Js^{-1}m{-1}K{-1}}

Keywords: heat • thermal • Fourier • conduction • convection • temperature • transfer • casting • mold • die
Categories: Science approaches
Processes > Joining > Welding, brazing & soldering
Processes > Shaping > Casting
Processes > Surface treatments > Heat treatments
Processes > Thermal treatments
Properties > Mechanical & thermal > Thermal
Created by: The University of Liverpool
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Date created: 13 July 2010
Date added: 04 August 2010
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Resource ID: 3186