Equation icon  Fourier's law

Use this resource: Use this resource icon
Link to this page: http://core.materials.ac.uk/search/detail.php?id=3186
View at:            
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
License: This resource is released under the Creative Commons Attribution license (2.0 UK: England & Wales).
Creative Commons Attribution logo
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
View the full legal code here.
Date created: 13 July 2010
Date added: 04 August 2010
Resource ID: 3186