Lifetime Calculations Relative to Maximum Bubble Pressure Measurements

✍ Scribed by V.I. Koval'chuk; S.S. Dukhin; V.B. Fainerman; R. Miller

• Publisher: Elsevier Science
• Year: 1998
• Tongue: English
• Weight: 210 KB
• Volume: 197
• Category: Article
• ISSN: 0021-9797
• DOI: 10.1006/jcis.1997.5251

✦ Synopsis

ARTICLE NO. CS975251 NOTE Lifetime Calculations Relative to Maximum Bubble Pressure Measurements the reservoir and the ambient space, DP s Å 2s/r 0 , and s is the surface tension. The maximum value DP Å DP 0 2s/r m corresponds to the menis-The theoretical description of maximum bubble pressure expericus radius r m at the time immediately after the bubble separation. This ments needs to consider inertial properties of the gas and liquid. approach results in a considerable uncertainty in the lifetime value and On the basis of an analysis of the time-dependent pressure gradient enables one to make only rough estimates. A more rigorous procedure would inside the capillary, bubble lifetime and bubble deadtime are estirequire a consideration of the time dependence of the pressure gradient mated. Numerical calculations of the derived model equations yield different importent dependencies which allow us to better DP Å DP 0 2s/r [1] understand bubble pressure experiments at high bubble frequencies: gas flow velocity as function of time, bubble radius as function because the bubble radius r is a function of time. This dependence to find of time, pressure drop within the capillary as function of time, is exactly the aim of this paper. and bubble lifetime as function of the initial gas velocity. ᭧ 1998 Academic Press

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