Law of Heat Conduction

Fourier’s law states that the negative gradient of temperature and the time rate of heat transfer is proportional to the area at right angles of that gradient through which the heat flows. Fourier’s law is the other name of the law of heat conduction.
Newton’s law of cooling and Ohm’s law are a discrete and electrical analog of Fourier’s law.
==Differential Form Of Fourier’s Law==
 q = -k \nabla{T} 
Where,
*q is the local heat flux density in W.m2
*k is the conductivity of the material in W.m-1.K-1
*▽T is the temperature gradient in K.m-1
===In one-dimensional form===
 q_x = -k \frac{dT}{dx} 
===Integral Form===
 \frac{\partial Q}{ \partial t} = - k \oiint{ \nabla{T} \cdot dS} 
Where
* \frac{\partial Q}{ \partial t}is the amount of heat transferred per unit time
* dS is the surface area element
Category:Thermodynamics