An Assessment of Extended Surfaces-Two Dimensional Effects

Abstract:

This article looks at the effects of considering two-dimensional temperature distributions in analyzing different fin configurations (radial rectangular fins, planar rectangular fins) in contrast to the one-dimensional assumption commonly used in most design methodologies. The investigation of the temperature distributions along the length of the extended surfaces was performed both analytically and by using Computational Fluid Dynamics (CFD) software. The results obtained were then compared and the observed deviations reported. From these investigations, it was discovered that the one-dimensional approach does not always give good results for the heat fluxes and temperature distributions for plain and radial rectangular fins. This calls into question the validity of the one-dimensional assumption utilized in the design methodologies for heat exchange equipment incorporating plain and radial rectangular fins. Keywords: Fins, heat flux, heat transfer coefficient, Temperature distribution, One-dimensional analysis.

• Periodical: International Journal of Engineering Research in Africa (Volume 15)
• Pages: 71-85
• DOI: https://doi.org/10.4028/www.scientific.net/JERA.15.71
• Online since: April 2015
• Authors: Karinate Valentine Okiy*
• Keywords: Fins, Heat Flux, Heat Transfer Coefficient, One-Dimensional Analysis, Temperature Distribution

References

[1] KERN, D.Q. and A.D. KRAUS. 1972. Extended Surface Heat Transfer. New York: McGraw-Hill, Inc.

[2] INCROPERA, F.P. and P.D. DAVID. 1990. Fundamentals of Heat and Mass Transfer. New York: John Wiley & Sons.

[3] HARPER, .D.R. and W.B. BROWN. 1922. Mathematical equations for heat conduction in the fins of air-cooled engines, National Advisory Committee for Aeronautics, Report No. 158. Washington: Government Printing Office.

[4] HEGGS, P.J., S. HARRIS, and D.B. INGHAM. 2002. Extended Surface Conjugate Heat Transfer. New Jersey: John Wiley & Sons, Inc.

[5] CARSLAW, H.S. and J.C. JAEGER. 1959. Conduction of Heat in solids. Oxford: Clarendon Press.

[6] HEGGS, P.J. and I.M. SOMASUNDRAM. 2007. Fin Performance ratios greater than unity: Not just a theoretical aspiration. Applied Thermal Engineering. 27, pp.951-961.

DOI: 10.1016/j.applthermaleng.2006.08.010

[7] THOMAS, L.C. 1980. Fundamentals of Heat Transfer. New Jersey: Prentice-Hall, Inc.

[8] MANZOOR, M. 1983. Heat flow through Extended Surface Heat Exchangers, PhD Thesis, University of Leeds.

[9] LOOK, D. K, Jr. 1988. Two-Dimensional Fin Performance: Bi (Top Surface); " Bi (Bottom Surface), ASME Journal of Heat Transfer, 110, pp.780-782.

DOI: 10.1115/1.3250559

[10] LUND, K.O. and K.W. BAKER. 1993. Minimum-Weight Analysis of Anisotropic Plane- Fin Heat Pipe Space Radiator. ASME J. Solar Energy Engineering. 115, pp.37-41.

DOI: 10.1115/1.2930022

[11] KARINATE, O.V. 2012. Extended Surfaces-Two-Dimensional Effects. MSc Dissertation for PEME5000M module; SPEME, University of Leeds.

[12] HEGGS, P. J, and D.B. INGHAM. 2000. Two-Dimensional Effects in Extended Surface Assemblies. In: B. SUNDEN and P. HEGGS, ed. Recent Advances in Analysis of Heat Transfer Fin Type Surfaces. Southampton: WIT Press, pp.145-164.

[13] HEGGS, P.J. 2000. Overview of Extended Surface Heat Transfer-Fins. In: B. SUNDEN and P. HEGGS, ed. Recent Advances in Analysis of Heat Transfer Fin Type Surfaces. Southampton: WIT Press, pp.1-14.

DOI: 10.1080/07373930008917799