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Optimization of Longitudinal Rectangular Fins With Asymmetrical Boundary Conditions

[+] Author Affiliations
J. P. Luna-Abad, Francisco Alhama

Politechnical University of Cartagena, Cartagena, Murcia, Spain

Paper No. IHTC14-22670, pp. 619-623; 5 pages
doi:10.1115/IHTC14-22670
From:
  • 2010 14th International Heat Transfer Conference
  • 2010 14th International Heat Transfer Conference, Volume 2
  • Washington, DC, USA, August 8–13, 2010
  • Conference Sponsors: Heat Transfer Division
  • ISBN: 978-0-7918-4937-8 | eISBN: 978-0-7918-3879-2
  • Copyright © 2010 by ASME

abstract

Longitudinal rectangular fins with asymmetrical boundary conditions and different temperatures at each base were been studied and optimized using relative inverse thermal admittance as performance coefficient. A Neutral Line was defined and determined for different temperature ratios at the bases. Using the network method for the numerical simulation, the optimization problem was solved in a classical way: starting with the fin volume, heat transfer coefficient and thermal conductivity, the optimal geometry or aspect ratio (length/thickness ratio) for dissipating maximum heat from the fin surface was determined. The results are illustrated through tables and universal graphics made with optimal points, which, are independent from the temperature ratio at the bases. Besides the optimal thickness the graphics also provide, the fin effectiveness and the transversal Biot number. Finally, the location of the Neutral Line is represented for the optimal geometry and temperature ratios. To illustrate the optimization process practical examples are shown.

Copyright © 2010 by ASME

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