Optimum Cylindrical Pin Fin

Efficiency and optimization of straight fins with combined heat and mass transfer – An analytical solution

“…An analytical expression was derived by Sonn and BarCohen [18] to give the optimum pin fin diameter for maximum heat dissipation rate. This expression was based on dry fin condition.…”

Analysis of the 1D heat conduction problem for a single fin with temperature dependent heat transfer coefficient – Part II. Optimum characteristics of straight plate and cylindrical pin fins

“…The direct analytical solution of the optimization problem for a single CPF with an insulated tip and uniform heat transfer coefficient on the cylindrical surface is obtained by Sonn and Bar-Cohen in [3]. Authors have expressed the heat flow Q b dissipated by a cylindrical spine in terms of its diameter d. The values of fin volume and fin base temperature excess # b are given.…”

“…Subscripts and superscripts b, e refer to the fin base and fin tip (for X ¼ 1 and X ¼ 0, respectively) opt refer to optimum values * refer to the fin with an insulated tip ** refer to the inflection point of G vs T e curve for the fin with a non-insulated tip at x ¼ 1 and maximum allowable B value ðB ÃÃ Þ with respect to d and equating the result to zero authors of [3] have obtained the transcendental equation to determine the dimensionless optimum thermo-geometrical parameter N à opt ¼ 0:919296 corresponding to maximum point of the curve Q b vs d. Using this N à opt value the following relations between the required optimum values of d à opt as well as Q à b;opt and given fin parameters l, # b , k and h are obtained: d à opt ¼ 4:73hl 2 =k and Q à b;opt ¼ 11:736# b h 2 l 3 =k. Coefficients 4.73 and 11.736 are characteristics of a fin with given profile shape.…”

Performance and optimum geometry of spines with simultaneous heat and mass transfer

“…An analytical expression was also derived by Sonn and Bar-Cohen [24] to give the optimum pin fin diameter for maximum heat dissipation rate. This expression was based on dry pin fin condition.…”