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Heat Exchangers

Optimum Geometry of Plate Fins

[+] Author and Article Information
R. Karvinen

Department of Energy and Process Engineering,  Tampere University of Technology, P.O. Box 589, 33101 Tampere, Finlandreijo.karvinen@tut.fi

T. Karvinen

Teollisuuden Voima Oyj, Olkiluoto, FI-27160 Eurajoki, Finlandtimo.karvinen@tvo.fi

J. Heat Transfer 134(8), 081801 (May 24, 2012) (7 pages) doi:10.1115/1.4006163 History: Received February 03, 2011; Revised January 30, 2012; Published May 24, 2012; Online May 24, 2012

A method and practical results are presented for finding the geometries of fixed volume plate fins for maximizing dissipated heat flux. The heat transfer theory used in optimization is based on approximate analytical solutions of conjugated heat transfer, which couple conduction in the fin and convection from the fluid. Nondimensional variables have been found that contain thermal and geometrical properties of the fins and the flow, and these variables have a fixed value at the optimum point. The values are given for rectangular, convex parabolic, triangular, and concave parabolic fin shapes for natural and forced convection including laminar and turbulent boundary layers. An essential conclusion is that it is not necessary to evaluate the convection heat transfer coefficients because convection is already included in these variables when the flow type is specified. Easy-to-use design rules are presented for finding the geometries of fixed volume fins that give the maximum heat transfer. A comparison between the heat transfer capacities of different fins is also discussed.

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Copyright © 2012 by American Society of Mechanical Engineers
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Figures

Grahic Jump Location
Figure 1

Geometry of plate fins

Grahic Jump Location
Figure 2

Effect of triangular aluminum plate fin dimensions on heat flux in air flow: laminar flow, V = 1·10−6 m3 , u∞  = 10 m/s, θ0  = 60 °C

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