Heat Transfer through a Long Fin

The rate of heat transfer from a surface at a temperature TsT_s to the surrounding medium at TT_∞ is given by Newton’s law of cooling as:

Qconv=hAs(TsT)Q_{conv} = h A_s(T_s - T_∞)

where AsA_s is the heat transfer surface area and hh is the convection heat transfer coefficient.

When the temperatures TsT_s and TT_∞ are fixed by design considerations, as is often the case, there are two ways to increase the rate of heat transfer:

  • To increase the convection heat transfer coefficient hh
  • To increase the surface area AsA_s

Increasing hh may require the installation of a pump or fan, or replacing the existing one with a larger one, but this approach may or may not be practical. Besides, it may not be adequate. The alternative is to increase the surface area by attaching to the surface extended surfaces called fins made of highly conductive materials such as aluminum.