RESEARCH PAPERS: Forced Convection

Laminar Forced Convection From a Circular Cylinder Placed in a Micropolar Fluid

[+] Author and Article Information
F. M. Mahfouz

Mechanical Power Department, Faculty of Engineering, Menoufia University, Shebin-Elkom, Egyptfmahfouz64@hotmail.com

J. Heat Transfer 129(3), 256-264 (Jun 21, 2006) (9 pages) doi:10.1115/1.2426360 History: Received July 17, 2005; Revised June 21, 2006

In this paper laminar forced convection associated with the cross-flow of micropolar fluid over a horizontal heated circular cylinder is investigated. The conservation equations of mass, linear momentum, angular momentum and energy are solved to give the details of flow and thermal fields. The flow and thermal fields are mainly influenced by Reynolds number, Prandtl number and material parameters of micropolar fluid. The Reynolds number is considered up to 200 while the Prandtl number is fixed at 0.7. The dimensionless vortex viscosity is the only material parameter considered in this study and is selected in the range from 0 to 5. The study has shown that generally the mean heat transfer decreases as the vortex viscosity increases. The results have also shown that both the natural frequency of vortex shedding and the amplitude of oscillating lift force experience clear reduction as the vortex viscosity increases. Moreover, the study showed that there is a threshold value for vortex viscosity above which the flow over the cylinder never responds to perturbation and stays symmetric without vortex shedding. Regarding drag coefficient, the results have revealed that within the selected range of controlling parameters the drag coefficient does not show a clear trend as the vortex viscosity increases.

Copyright © 2007 by American Society of Mechanical Engineers
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Figure 1

Wake length for the case of Re=40, t=25 and at different values of vortex viscosity D

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Figure 2

Time development of wake length for the case of Re=40 and comparison with Collins and Dennis (3) and Honji and Taneda (4)

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Figure 3

Variation of microrotation M, and vorticity −ζ in the cylinder wake along the rear axis (θ=0)

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Figure 4

Time variation of lift coefficient for the case Re=50 and D=0, 0.1, 0.5, and 2

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Figure 5

Variation of Nu¯ with Re and comparison with the correlation of Knudsen and Katz (24) and Hatton (25)

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Figure 6

Time variation of mean Nusselt number at Re=200, Pr=0.7, and at different values of D

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Figure 7

Distribution of surface local Nu at Re=100, Pr=0.7, t=200, and at different values of D

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Figure 8

Distribution of surface vorticity at Re=100, Pr=0.7, t=200, and at different values of D

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Figure 9

Temperature distribution in the wake of the cylinder along line θ=0

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Figure 10

Streamline patterns (left) and isotherm patterns (right) for the case of Re=50, t=200: (a) D=0.0; (b) D=0.1; (c) D=0.5; and (d) D=2



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