Abstract
Geometrically asymmetric trapezoidal fins with variable slope of fin’s top surface are optimized for fixed fin volumes. Convection from the inside fluid to the inside wall, conduction from the inside wall to the fin base and conduction through the fin base are considered simultaneously for the fin base boundary condition. For fixed fin volumes, the optimum heat loss, the corresponding optimum fin length, and fin base height are presented as functions of the fin base thickness, inside fluid convection characteristic number, fin volume, fin shape factor, and ambient convection characteristic number. The optimum values between 1-D and 2-D analyses are compared. One of the results shows that both the optimum fin length and fin base height decrease with the increase of the fin shape factor.
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