What is fouriers equation?

Answer 1

Fourier's equation typically refers to the heat equation, which describes how heat diffuses through a given region over time. It is expressed as ( \frac{\partial u}{\partial t} = \alpha \nabla^2 u ), where ( u ) represents the temperature, ( t ) is time, ( \alpha ) is the thermal diffusivity, and ( \nabla^2 ) is the Laplacian operator. This equation is fundamental in physics and engineering for modeling heat conduction in materials.