An aluminum cylindrical rod fin (k-132 btu/h. ft. f), having a diameter of 0.375 in and a length of 4 in, is attached to a surface having a temperature of 200 f. the rod is exposed to ambient air at 70 °f, and the heat transfer coefficient along the length and at the end is 1.5 btu/h·ft2·? f. determine the temperature distribution and the heat flux (a) neglecting the he transfer at the end and (b) accounting for the heat transfer at the end evaluate t at 2 in intervals