Fluid Flow Around and Heat Transfer From an Infinite Circular Cylinder

[+] Author and Article Information
W. A. Khan, J. R. Culham, M. M. Yovanovich

Microelectronics Heat Transfer Laboratory, Department of Mechanical Engineering, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1

J. Heat Transfer 127(7), 785-790 (Oct 25, 2004) (6 pages) doi:10.1115/1.1924629 History: Received May 25, 2004; Revised October 25, 2004

In this study, an integral approach of the boundary layer analysis is employed to investigate fluid flow around and heat transfer from an infinite circular cylinder. The Von Karman–Pohlhausen method is used to solve momentum integral equation and the energy integral equation is solved for both isothermal and isoflux boundary conditions. A fourth-order velocity profile in the hydrodynamic boundary layer and a third-order temperature profile in the thermal boundary layer are used to solve both integral equations. Closed form expressions are obtained for the drag and the average heat transfer coefficients which can be used for a wide range of Reynolds and Prandtl numbers. The results for both drag and heat transfer coefficients are in good agreement with experimental/numerical data for a circular cylinder.

Copyright © 2005 by American Society of Mechanical Engineers
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Figure 1

Flow over a circular cylinder

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Figure 2

Distribution of shear stress on a circular cylinder in air

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Figure 3

Drag coefficient as a function of ReD for a circular cylinder

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Figure 4

Local Nusselt numbers for different boundary conditions

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Figure 5

Variation of average Nusselt number with Reynolds number for isothermal boundary condition

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Figure 6

Variation of average Nusselt number with Reynolds number for isoflux boundary condition



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