2-DIMENSIONAL PERFORMANCE OF CONVECTING-RADIATING FINS OF DIFFERENT PROFILE SHAPES

A finite element approach is used to investigate the two-dimensional p erformance of convecting-radiating fins of rectangular, trapezoidal, t riangular, and concave parabolic shapes. The heat transfer rate depend s on fin size parameter alpha, Biot number Bi, radiation-conduction pa rameter N(r), and environment temperatures theta(infinity) and theta(r ). Numerical results for the heat transfer rate and the error due to o ne-dimensional assumption are presented and discussed for each geometr y. The highest heat dissipation is achieved with the concave parabolic shape and the lowest with the rectangular shape with the trapezoidal and triangular shapes falling in between. The maximum error of +144 pe rcent is noted for a short and thick rectangular fin (alpha = 1) and - 47 percent for a long thin triangular fin (alpha = 20).