Abstract
This paper presents numerical simulations of two-phase flow with high-density ratio, taking into account mass transport of a soluble component and its interfacial mass transfer. The mathematical model and the numerical method allow for different solubility of the species in the respective fluid phases, while volume changes due to mass transfer a reneglected. The discontinuous changes in species concentration sat the interface are modeled by means of Henry’s law. Simulations are carried out with a next ended version of the highly parallelized code FS3D, which employs an advanced Volume-Of-Fluid(VOF) method. For the examination of mass transfer, single bubbles are held in counter-flow to investigate the transient dissolution of a dilute species. In case of small bubbles with laminar wake a rotational symmetric concentration profile occurs, in agreement with theoretical considerations, while the local mass concentrations in the wake of larger bubbles show complex patterns of varying concentration as it also has been recently observed experimentally.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Bork O, Schlüter M, Scheid S, Räbiger N(2001)New phenomena of mass transfer in gas/liquid flows.In:Proc.ASMEHTD,Fluid-Physics and Heat transfer for Macro-and Micro-Scale Gas-Liquid and Phase Change Flows,New York,pp.1–6
Bork O, Schüter M, Räbiger N(2002) Influence of wake mixing on mass transfering as-liquid reactors.In:15th Int. Congress of Chemical and Process Engineering,CHISA, Prag, CzechRepublic
Brauer H(1971)Stoffaustauscheinsc Wießlichchemischer Reaktionen.Verlag Sauerländer, Aarauund Frankfurta.M.
Clift R, Grace JR, Weber ME(1978)Bubbles,Drops and Particles.Academic Press, New York
Davidson MR, Rudmann MJ(2002)Volume-of-fluid calculation of heat or mass transfer across deforming interfaces in two-fluid flow.Num.Heat Transfer B41:291–308
Hirts CW, Nichols BD(1981)Volume of Fluid(VOF)method for the dynamics of free boundaries,J.Comp.Phys.39:201–225
Ishii M(1975)Thermo-FluidDynamic Theory of Two-Phase Flow.Eyrolles, Paris
Koebe M, Bothe D, Prüss J, Warnecke H-J(2002)3D Direct numerical simulation of air bubbles in water at high Reynolds numbers.In:Proc.2002ASME JointU.S.-European Fluids Eng.Conf., Montreal, Canada, FEDSM2002-31143
Lafaurie B, Nardone C, Scardovelli R, Zaleski S, Zanetti G.(1994)Modelling merging and fragmentation in multiphase flows with SURFER,J.Comp.Phys113:134–147
Mao Z-S, Li T, Chen J(2001)Numerical simulation of steady and transient mass transfer to a single drop dominated by external resistance,Int.J. Heat MassT rans.44:1235–1247
Paschedag A, Piarah WH, Kraume M(2001)Grenzbetrachtungenzum Stofftransportam Einzeltropfen— Validierung numerischer Ergebnisse,Chem.Ing.Tech.73:1431–1435
Pfennig A(2002)Modelling mass transfer and equilibria at liquid-liquid interfaces.In: Forschritt-BerichteVDI,Reihe 3 Verfahrenstechnik738(F.-P. Schindlered.),VDI 2002,pp.13–23
Rieber M,and Frohn A(1999)Anumerical study on the mechanism of splashing.Int.J. Heat and Fluid Flow20:455–461
Riethues M, Buchholz R, Onken U, Baumgärtl H, Lübbers DW(1986)Determination of oxygen transfer from single air bubbles to liquids by oxygen micorelectrodes,Chem. Eng.Process.20:331–337
Sadhal SS, Ayyaswamy PS, Chung JN(1999)Transport Phenomena with Drops and Bubbles.Springer-Verlay, NewYork
Sato T Jung R-T, Abe S(2000)Direct simulation of droplet flow with mass transfer at interface, Trans.ASME122:510–516
Schlüter M, Bork O, Scheid S, Hövelmann S, Räbiger N(2001)New Aspects of Hydrodynamics and Mass Transfer in Multiphase Flows.In:Proceedings of the ICMF-2001 Tulane University
Schulze K, Kraume M(2002)Influence of mass transfer on drop rise velocity.In:Forsch-ritt-Berichte VDI,Reihe 3 Verfahrenstechnik 738(F.-P. Schindlered.),VDI2002,pp. 97–106
Slattery JC(1999)Advanced Transport Phenomena.Cambridge Univ.Press, Cambridge
Weiss S(1986)Verfahrenstechnische Berechnungsmethoden,Teil7:Stoffwerte,VCH
Zhang Y, McLaughlin JB, Finch JA(2001)Bubble velocity profile and model of surfactant mass transfer to bubble surface,Chem.Eng.Sc.56:6605–6616
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2004 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bothe, D., Koebe, M., Wielage, K., Prüss, J., Warnecke, HJ. (2004). Direct numerical simulation of mass transfer between rising gas bubbles and water. In: Sommerfeld, M. (eds) Bubbly Flows. Heat and Mass Transfer. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18540-3_13
Download citation
DOI: https://doi.org/10.1007/978-3-642-18540-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62150-5
Online ISBN: 978-3-642-18540-3
eBook Packages: Springer Book Archive