Research Papers: Conduction

Heat Conduction Through Heat Exchanger Tubes of Noncircular Cross Section

[+] Author and Article Information
Manoj Ku. Moharana

Department of Mechanical Engineering, Indian Institute of Technology Kanpur, Kanpur, Uttar Pradesh 208016, Indiamanoj.moharana@rediffmail.com

Prasanta Ku. Das

Department of Mechanical Engineering, Indian Institute of Technology Kharagpur, Kharagpur, West Bengal 721302, Indiapkd@mech.iitkgp.ernet.in

J. Heat Transfer 130(1), 011301 (Jan 25, 2008) (8 pages) doi:10.1115/1.2780176 History: Received May 25, 2006; Revised May 05, 2007; Published January 25, 2008

Conduction through shaped tubes with circular inner surface and hydrodynamically shaped outer surface has been analyzed by two different techniques. A two-dimensional analysis has been made by a semianalytical technique using boundary collocation at the outer periphery. A one-dimensional approximate technique called sector method shows a closed agreement with the two-dimensional analysis. The present work gives an improvement on the analysis of Li (2004, “Heat Transfer Enhancement Using Shaped Polymer Tubes: Fin Analysis  ,” ASME J. Heat Transfer, 126, pp. 211–218) who solved the same problem using a one-dimensional approximation following the methodology of fin analysis. Both the present methods relax some of the approximations taken by Li Further, the suggested one-dimensional sector method is simple and requires limited computational effort.

Copyright © 2008 by American Society of Mechanical Engineers
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Figure 7

Dimensionless temperature plotted as a function of Biot number and the dimensionless coordinate λ=r∕L for (a) oval and (b) lenticular shaped tubes

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Figure 8

Shaped tube efficiency plotted as a function of Biot number and λb for (a) oval shaped tube and (b) lenticular shaped tube

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Figure 1

Different types of shaped tubes: (a) circular, (b) oval, (c) lenticular, and (d) teardrop

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Figure 2

Differential elements for a one-dimensional energy balance for a single sided fin on an oval shaped tube

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Figure 3

Coordinate system of a typical shaped tube for two-dimensional analysis

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Figure 4

(a) Division of shaped tube into sectors. (b) A single sector (jth in anticlockwise direction) from the domain of the shaped tube.

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Figure 5

Isothermal curves shown in (a) oval, (b) lenticular, and (c) teardrop shaped tubes with isothermal inner wall

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Figure 6

Variation of temperature along (a) radial direction at different angles, (b) angular positions at different radial positions for an oval shaped tube with λb=0.5, Bi=1.0



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