Flow structure around a rising clean microbubble in a vertical square tube is investigated on a fixed nonstaggered Cartesian grid system. A single set of three dimensional governing equations over the entire physical domain including the liquid, the air, and the bubble surface (the liquid-air interface) is formulated without smearing the bubble surface. There are three step functions in the problem, namely, the density jump, the viscosity jump, and the pressure jump across the bubble surface. A modified NAPPLE algorithm is proposed to handle the pressure jump on a fixed nonstaggered Cartesian grid system, while the density and viscosity jumps appearing in the momentum equations are solved with the extended weighting function scheme. This strategy prevents the occurrence of “parasitic current” on the bubble surface. Solutions of flow structure (velocity and pressure) are obtained for bubble diameters of less than 500 micrometers rising in quiescent pure water. The numerical result evidences that the distorted microbubble under study is of the oblate spheroid type. The distortion parameter is only 1.0006 when the bubble diameter is 250 micrometers. However, the surface tension force due to bubble distortion generates a large pressure jump across the bubble surface that dominates the flow around the bubble. It plays a role similar to the non-transpiration condition on a solid surface. The resulting terminal velocity of the bubble agrees excellently with the existing analytical solutions and numerical results.
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ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference
July 8–12, 2007
Vancouver, British Columbia, Canada
Conference Sponsors:
- Heat Transfer Division
ISBN:
0-7918-4276-2
PROCEEDINGS PAPER
Flow Around a Rising Clean Microbubble in a Vertical Square Tube
Shong-Leih Lee,
Shong-Leih Lee
National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
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Yuang-Jung Chang
Yuang-Jung Chang
National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
Search for other works by this author on:
Shong-Leih Lee
National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
Yuang-Jung Chang
National Tsing Hua University, Hsinchu, Taiwan, R.O.C.
Paper No:
HT2007-32662, pp. 675-685; 11 pages
Published Online:
August 24, 2009
Citation
Lee, S, & Chang, Y. "Flow Around a Rising Clean Microbubble in a Vertical Square Tube." Proceedings of the ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference. ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference, Volume 3. Vancouver, British Columbia, Canada. July 8–12, 2007. pp. 675-685. ASME. https://doi.org/10.1115/HT2007-32662
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