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Thermal Conductivity

Heat is transferred along a material by collisions from molecule to molecule.  This form of heat transfer is called heat conduction.

Let's consider a bar having a length L and a cross sectional area, A.  One end of the bar is kept at a hot temperature T2 , the other end is at a cold temperature T1. The heat transfer rate (amount of heat transferred per unit time)  ΔQ/ Δt is proportional to the difference in temperature, ΔT,  between the two sides of the bar.

                        

ΔQ/ Δt =KA (T2 –T1)/L

K is defined as thermal conductivity and is a material property. 

It has units of Watts per meter per degree C.

(T2 - T1)/L  is also called temperature gradient and is the "driving force"

Heat conductors (such as metals) have a large value of K, heat insulators (such as wood, brick) have a low value of K. This is the reason why houses are made of wood and brick (to keep us warm) and for example the heat sink of a CPU is made of aluminum (to be an efficient hear extractor!)

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