A Practical Alternative Model To Approximate A Fully Two Dimensional Thermally Non-Symmetric Annular Fin Efficiency

Abstract

A new practical and approximate two-dimensional is developed to take into account the thermally non-symmetric annular tick fin model and to avoid the laborious solution involving additional calculation of infinite eigenvalues. Using the perturbation method, a representative with satisfactory accuracy model is produced. For convenience, the developed analytical model is used here, in its numerical version, to show its validity and for an investigation of the effects of significant parameters on the efficiency of the annular fin. The same outcomes are obtained when the 1-D and present model are compared using the corresponding values. Then, different and easier calculations are carried out to illustrate the impact of the three primary parameters- the thickness, the asymmetry ratio, and the end Biot number- that define the annular fins. It is shown that, for thick or thin fins, the unequal convection heat coefficients of the the two surfaces have a significant impact on the distribution temperature and fin efficiency. With high thermal conductivity thick fins can increase cooling efficiency. For thicker fins, a significant impact of the end Biot on fin efficiency is observed.