“…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.…”