NDLI: Flow Around a Rising Clean Microbubble in a Vertical Square Tube

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Lee, Shong-Leih Chang, Yuang-Jung
Copyright Year	2007
Abstract	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.
Sponsorship	Heat Transfer Division
Starting Page	675
Ending Page	685
Page Count	11
File Format	PDF
ISBN	0791842762
DOI	10.1115/HT2007-32662
e-ISBN	0791838013
Volume Number	ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference, Volume 3
Conference Proceedings	ASME/JSME 2007 Thermal Engineering Heat Transfer Summer Conference collocated with the ASME 2007 InterPACK Conference
Language	English
Publisher Date	2007-07-08
Publisher Place	Vancouver, British Columbia, Canada
Access Restriction	Subscribed
Subject Keyword	Viscosity Water Transpiration Bubbles Algorithms Momentum Surface tension Flow (dynamics) Pressure Density
Content Type	Text
Resource Type	Article

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