Optimization of geometrically asymmetric straight trapezoidal fins

다국어 초록 (Multilingual Abstract)

Geometrically asymmetric trapezoidal fins with variable slope of fin’s top surface are optimized for fixed fin volumes. Convectionfrom the inside fluid to the inside wall, conduction from the inside wall to the fin base and conduction through the fin base are consideredsimultaneously 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, finshape factor, and ambient convection characteristic number. The optimum values between 1-D and 2-D analyses are compared. One ofthe results shows that both the optimum fin length and fin base height decrease with the increase of the fin shape factor.

참고문헌 (Reference)

1 H. S. Kang, "Two dimensional trapezoidal fins analysis" 19 (19): 247-250, 1997

2 A. Campo, "Temperature/heat analysis of annular fins of hyperbolic profile relying on the simple theory for straight fins of uniform profile" 130 (130): 054501-1-054501-4, 2008

3 B. Kundu, "Performance and optimization of flat plate fins of different geometry on a round tube: A comparative investigation" 129 (129): 917-926, 2007

4 B. Kundu, "Performance analysis of eccentric annular fins with a variable base temperature" 36 (36): 751-766, 1999

5 H. S. Kang, "Optimization of a trapezoidal profile annular fin" 30 (30): 359-367, 2009

6 Hyung Suk Kang, "Optimization of a reversed trapezoidal fin using a 2-D analytic method" 대한기계학회 22 (22): 556-564, 2008

7 H. S. Kang, "Optimization of a pin fin with variable base thickness" 132 (132): 034501-1-034501-4, 2010

8 C. Casarosa, "On the optimum thermal design of individual longitudinal fins with rectangular profile" 22 (22): 51-71, 2001

9 S. Abrate, "Finite element analysis of triangular fins attached to a thick wall" 57 (57): 945-957, 1995

10 K. Hashizume, "Fin efficiency of serrated fins" 23 (23): 6-14, 2002

11 M. H. Sharqawy, "Efficiency and optimization of straight fins with combined heat and mass transfer –An analytical solution" 28 (28): 2279-2288, 2008

12 C. Arslanturk, "Correlation equations for optimum design of annular fins with temperature dependent thermal conductivity" 45 (45): 519-525, 2009

13 A. Bejan, "Constructal T-shaped fins" 43 (43): 2101-2115, 2000