Fourier's law of heat conduction

Gives the heat flux density in a material as proportional to the negative temperature gradient, with thermal conductivity as the constant of proportionality. It is used to calculate how heat flows by conduction through solids and fluids.

\boldsymbol{q} = -\lambda \nabla T

What the symbols mean

heat flux density vector (W/m^2)
thermal conductivity of the material (W/(m·K))
gradient of temperature (K/m)

About this formula

  • FieldPhysics
  • TopicHeat transfer
  • LevelUniversity
  • Also calledthermal conductivity formula, heat flux fourier law, heat conduction law, heat flux density temperature gradient, fourier law, conductive heat flux
  • SourceWikidata Q487005

Write it in Obsidian

MathLive is a free visual math editor for Obsidian. Run Find a formula, type “fourier's law of heat conduction”, and it goes into your note as editable LaTeX. You can also scan formulas from screenshots, PDFs and handwriting.

Related formulas