The optimization of an array of extended surface

A thermal matrix approach is taken for defining a technique for making design decisions for cooling fin arrays. The matrices track all heat transfer from the base of the fins to the tips. Total heat transfer is then a function of the thermal admittance at the base. The thermal transmittance of a fin cluster is treated as the sum of the transmittances of the individual thermal transmission ratios. Parameterizations are provided for various fin shapes, and attention is given to insufficient heat transfer due to heat flow choking conditions for one fin. It is concluded that selection of the base fin design is critical for ensuring that thermal energy will be transmitted to downstream fins.