0

Full Content is available to subscribers

Subscribe/Learn More  >

Reduction of the 2-D Heat Equation for Straight Fins of Uniform Profile Into a Quasi 1-D Equation

[+] Author Affiliations
Antonio Campo

University of Vermont

Paper No. IMECE2005-81571, pp. 123-128; 6 pages
doi:10.1115/IMECE2005-81571
From:
  • ASME 2005 International Mechanical Engineering Congress and Exposition
  • Innovations in Engineering Education: Mechanical Engineering Education, Mechanical Engineering/Mechanical Engineering Technology Department Heads
  • Orlando, Florida, USA, November 5 – 11, 2005
  • Conference Sponsors: Mechanical Engineering Education
  • ISBN: 0-7918-4232-0 | eISBN: 0-7918-3769-6
  • Copyright © 2005 by ASME

abstract

Owing to the combined action of transverse convection and longitudinal conduction, the temperature in fins varies longitudinally since the transversal temperature change is practically insignificant. Textbooks on heat transfer widely employ the quasi one-dimensional approximation for the analysis of straight fins of uniform profile [1-6]. Unfortunately, justification of this simplistic approach has been based on the prevalent criterion of fins owing large slenderness ratios, i.e., large length and small thickness. This route is a mere geometric consideration that obviates the heat path implications that are inherent to fins. Beginning with the formulation with the 2-D heat conduction equation, the primary aim of this paper is to develop a systematic mathematical procedure for the validity of the quasi 1-D approximation in terms of two parameters: (1) the transverse Biot number and (2) the slenderness ratio.

Copyright © 2005 by ASME
Topics: Heat , Equations , Fins

Figures

Tables

Interactive Graphics

Video

Country-Specific Mortality and Growth Failure in Infancy and Yound Children and Association With Material Stature

Use interactive graphics and maps to view and sort country-specific infant and early dhildhood mortality and growth failure data and their association with maternal

NOTE:
Citing articles are presented as examples only. In non-demo SCM6 implementation, integration with CrossRef’s "Cited By" API will populate this tab (http://www.crossref.org/citedby.html).

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In