Numerical study of a Taylor bubble rising in stagnant liquids
作者： Chang-Wei Kang , Shaoping Quan , Jing Lou
DOI: 10.1103/PHYSREVE.81.066308
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摘要: The dynamics of a Taylor bubble rising in stagnant liquids is numerically investigated using front tracking coupled with finite difference method. Parametric studies on the including final shape, Reynolds number (Re T ), Weber (We Froude (Fr), thin liquid film thickness (w/D), and wake length (l w /D) are carried out. effects density ratio (η), viscosity (λ), Eotvos (Eo), Archimedes (Ar) examined. simulations demonstrate that under consideration have minimal effect bubble. influence elongation tail structures, where higher Eo Ar result longer wake. To explain sudden extension tail, l ) based local curvature velocity evaluated critical We detected around unity. onset flow separation at occurs between Ar=2 × 10 3 Ar=1 4 , which corresponds to Re 13.39 32.55. also drastically affects shape bubble, terminal velocity, film, as well wall shear stress. It found w/D =0.32 -0.1 .
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sci-hub.se 参考文章(35)
The mechanics of large bubbles rising through extended liquids and through liquids in tubes Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 200, pp. 375- 390 ,(1950) , 10.1098/RSPA.1950.0023
S Nogueira, RG Sousa, AMFR Pinto, ML Riethmuller, JBLM Campos, None, Simultaneous PIV and pulsed shadow technique in slug flow: a solution for optical problems Experiments in Fluids. ,vol. 35, pp. 598- 609 ,(2003) , 10.1007/S00348-003-0708-8
S. Nogueira, M.L. Riethmuller, J.B.L.M. Campos, A.M.F.R. Pinto, Flow patterns in the wake of a Taylor bubble rising through vertical columns of stagnant and flowing Newtonian liquids: An experimental study Chemical Engineering Science. ,vol. 61, pp. 7199- 7212 ,(2006) , 10.1016/J.CES.2006.08.002
Taha Taha, Z.F. Cui, CFD modelling of slug flow in vertical tubes Chemical Engineering Science. ,vol. 61, pp. 676- 687 ,(2006) , 10.1016/J.CES.2005.07.022
P.C Huzyak, K.W Koelling, The penetration of a long bubble through a viscoelastic fluid in a tube Journal of Non-newtonian Fluid Mechanics. ,vol. 71, pp. 73- 88 ,(1997) , 10.1016/S0377-0257(97)00002-5
S.R. Bellara, Z. Cui, D.S. Pepper, Fractionation of BSA and Lysozyme Using Gas‐Sparged Ultrafiltration in Hollow Fiber Membrane Modules Biotechnology Progress. ,vol. 13, pp. 869- 872 ,(1997) , 10.1021/BP9701123
T. Taha, Z.F. Cui, Hydrodynamics of slug flow inside capillaries Chemical Engineering Science. ,vol. 59, pp. 1181- 1190 ,(2004) , 10.1016/J.CES.2003.10.025
J. Prothero, A.C. Burton, The physics of blood flow in capillaries. I. The nature of the motion. Biophysical Journal. ,vol. 1, pp. 565- 579 ,(1961) , 10.1016/S0006-3495(61)86909-9
Claus M. Muth, Erik S. Shank, Gas Embolism New England Journal of Medicine. ,vol. 342, pp. 476- 482 ,(2000) , 10.1056/NEJM200002173420706
DANIEL P. CAVANAGH, DAVID M. ECKMANN, Interfacial dynamics of stationary gas bubbles in flows in inclined tubes Journal of Fluid Mechanics. ,vol. 398, pp. 225- 244 ,(1999) , 10.1017/S0022112099006230