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RESEARCH PAPERS: Bubbles, Particles and Droplets

Enhancement of Convective Heat and Mass Transfer From Two Bubbles at High Reynolds Number

[+] Author and Article Information
Abdullah Abbas Kendoush

Department of Mechanical and Aerospace Engineering,  University of Florida, P.O. Box 116300, Gainesville, FL 32611-6300kendoush@ufl.edu

J. Heat Transfer 129(2), 211-219 (Apr 13, 2006) (9 pages) doi:10.1115/1.2402183 History: Received October 07, 2005; Revised April 13, 2006

Analytical solutions to the heat convection from two bubbles were obtained. These solutions were applied to the two bubbles with the flow along their line of centers and perpendicular to their line of centers. The method of images has been used to give a solution to the velocity distribution around the two bubbles. The derived solutions apply to fluid spheres. In general the derived solutions were compared well with the other available analytical and numerical results. Some avenues for further research were pointed out.

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Copyright © 2007 by American Society of Mechanical Engineers
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References

Figures

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Figure 1

Two bubbles horizontally side by side in a flow field

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Figure 2

Two bubbles vertically one above the other in a flow field

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Figure 3

The ratio of heat convection from the leading bubble (A) to that of the trailing bubble (B) versus (a∕L) according to Eq. 64

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Figure 4

The ratio of heat convection from the leading bubble (A) in the tandem orientation to that of bubble (A) in the side-by-side orientation versus (a∕L) according to Eqs. 32,59

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Figure 5

Comparison between the present solution (Eq. 66) (—) and the solution of Harper (26) (Eq. 65) (-------)

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Figure 6

Comparison between the present solution (Eq. 58) (—) and the numerical solution of Tong and Chen (27) (-------) for a∕L=1∕3 and Pr=1

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Figure 7

Comparison between the present solution (Eq. 57) (—) and the numerical solution of Ramachandran (2) (– – –)

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Figure 8

Comparison between the present solution (Eq. 58) (—) and the numerical solution of Ramachandran (2) (– – –)

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Figure 9

Comparison between the convective and the conductive heat transfer to the two bubbles according to Eqs. 42,63,67

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