Fourier's Law of Heat Conduction states that the heat flux (Q) between two points in a material is directly proportional to the temperature difference (ΔT) betw...
Fourier's Law of Heat Conduction states that the heat flux (Q) between two points in a material is directly proportional to the temperature difference (ΔT) between those points and inversely proportional to the distance (d) between them. In other words:
Q ∝ ΔT ÷ d
This law provides a mathematical expression for the rate at which heat is transferred between two objects in thermal equilibrium. The constant of proportionality k is known as the thermal conductivity of the material and determines how quickly heat is transferred.
Implications of Fourier's Law:
The direction of heat flow is from regions of higher temperature to regions of lower temperature.
The rate of heat flow is independent of the direction of heat flow.
Fourier's law applies to all materials, including solids, liquids, and gases, as long as the temperature difference between the two points is finite.
Examples:
Fourier's law is used to model the heat flow in a copper rod when a hot end is maintained at a constant temperature.
It can also be used to describe the heat flow in a sphere when the temperature of its surface is changed.
Fourier's law is a fundamental concept in heat transfer and is widely used in various applications, including thermal insulation, heat sinks, and heat distribution systems