##  [Fourier's Law](/index.php/fouriers-law) 

  ##  [Fourier's Law](https://engineering.quantumdictionary.io/fouriers-law-0) 

  

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**Engineering & Applied Technologies Dictionary**

 







 

 

 

 



 

 

 

 

Definition

An empirical constitutive relation stating that the local heat flux density q (vector) in a material equals the negative product of the material's thermal conductivity k (scalar or tensor) and the temperature gradient: q = -k ∇T; valid in the continuum, near‑equilibrium regime where heat is transported diffusively.