- Fourier’s law of heat conduction states that the rate of heat transfer through a material is proportional to the negative gradient of the temperature and the area through which the heat flows.
- Mathematically, it is expressed as:
$\mathbf{q} = -k \nabla $
- where:
- q is the heat flux (heat transfer per unit area per unit time),
- k is the thermal conductivity of the material,
- ∇T is the temperature gradient.
- In simpler terms, Fourier’s law indicates that heat flows from regions of higher temperature to regions of lower temperature and the rate of heat transfer increases with a steeper temperature gradient and higher thermal conductivity of the material.
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