THE USE OF RELATIVE INVERSE THERMAL ADMITTANCE FOR THE CHARACTERIZATION AND OPTIMIZATION OF FIN-WALL ASSEMBLIES
2017
The concept of relative inverse thermal admittance applied to the convective
fin-wall assembly optimization of longitudinal rectangular fins under 2-D
heat conduction is presented in this work. Since heat transfer at the fin tip
is taken into account, it is not always possible to optimize the above cited
geometry. This is relevant in optimization processes and because of this has
been displayed in several graphs. Here, different values for convective
conditions at the fin and wall surfaces are used and the influence of the
hw/hf ratio in optimum geometry is determined. The fin effectiveness is used
as the fundamental parameter to prove that the fin is fulfilling the
objective of increasing heat dissipation. Once the optimum thickness has been
obtained, the Biot number is easily calculated and the fin effectiveness for
an isolated fin and the fin-wall assembly can be determined graphically. The
optimization process is carried out through a set of universal graphs in
which the range of parameters covers most of the practical cases a designer
will find. The concept of relative inverse thermal admittance is applied in a
general form and emerges as an easy used tool for optimizing fin-wall
assemblies.
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