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RESEARCH PAPERS: Forced Convection

Fluid Flow and Heat Transfer in Power-Law Fluids Across Circular Cylinders: Analytical Study

[+] Author and Article Information
W. A. Khan1

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

J. R. Culham, M. M. Yovanovich

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

1

Corresponding author now at Department of Mathematics, COMSATS Information Technology Center, University Road, 22060, NWFP, Pakistan.

J. Heat Transfer 128(9), 870-878 (Feb 17, 2006) (9 pages) doi:10.1115/1.2241747 History: Received May 31, 2005; Revised February 17, 2006

An integral approach of the boundary layer analysis is employed for the modeling of fluid flow around and heat transfer from infinite circular cylinders in power-law fluids. The Von Karman-Pohlhausen method is used to solve the momentum integral equation whereas 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 heat transfer coefficients that can be used for a wide range of the power-law index, and generalized Reynolds and Prandtl numbers. It is found that pseudoplastic fluids offer less skin friction and higher heat transfer coefficients than dilatant fluids. As a result, the drag coefficients decrease and the heat transfer increases with the decrease in power-law index. Comparison of the analytical models with available experimental/numerical data proves the applicability of the integral approach for power-law fluids.

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Copyright © 2006 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Flow over circular cylinder

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Figure 2

Behavior of pressure gradient parameter for power-law fluids

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Figure 3

Angles of separation for power-law fluids

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Figure 4

Effect of power index n on skin friction for a circular cylinder

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Figure 5

Effect of n on drag coefficients for a circular cylinder

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Figure 6

Effect of ReDp on drag coefficients for a circular cylinder

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Figure 7

Comparison of heat transfer parameters for isothermal and isoflux thermal boundary conditions

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Figure 8

Comparison of heat transfer coefficients from an isothermal circular cylinder

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