Mass transfer from a Taylor bubble to the surrounding flowing liquid at the micro-scale: a numerical approach
Tóm tắt
Gas–liquid slug flow is characterized by complex and intermittent hydrodynamic features that offer an efficient alternative to promote biofilm control. In the present work, the mechanism of transferring a gaseous solute into a co-current liquid in a micro-scale slug flow system was inspected in detail. Specifically, the gas–liquid mass transfer from an individual Taylor bubble filled with oxygen was numerically studied using CFD techniques. To accurately describe the referred phenomenon, the hydrodynamic and concentration fields were simultaneously solved. Furthermore, the interface capturing based on the VOF methodology was also coupled to this solution approach. Three sub-categories within slug flow pattern were identified based on the flow behavior in the liquid phase: no liquid in recirculation (Case A); closed wake below the bubble tail (Case B); and recirculation ahead and below bubble (Case C). Regarding the solute distribution, in Case A the solute is dispersed only backwards, it accumulates in the closed wake structure in Case B, and it reaches the wall within the film region in Case C. Local and average mass transfer coefficients were also estimated for the different cases. The influence of the two most relevant dimensionless groups (Reynolds and Capillary numbers) was also briefly analyzed. Global mass transfer coefficients results confirmed that the penetration theory can provide reasonable estimations for systems like Case C.
Từ khóa
Tài liệu tham khảo
Akbar MK, Plummer DA, Ghiaasiaan SM (2002) Gas–liquid two-phase flow regimes in microchannels. In: Heat transfer, Volume 7. ASME, pp 527–534
ANSYS FLUENT Theory Guide. 15317:724–746
Araújo JDP, Miranda JM, Pinto AMFR, Campos JBLM (2012) Wide-ranging survey on the laminar flow of individual Taylor bubbles rising through stagnant Newtonian liquids. Int J Multiph Flow 43:131–148. https://doi.org/10.1016/j.ijmultiphaseflow.2012.03.007
Aussillous P, Quere D (2000) Quick deposition of a fluid on the wall of a tube. Phys Fluids 12:2367–2371. https://doi.org/10.1063/1.1289396
Bandara T, Nguyen NT, Rosengarten G (2015) Slug flow heat transfer without phase change in microchannels: a review. Chem Eng Sci 126:283–295. https://doi.org/10.1016/j.ces.2014.12.007
Bento D, Sousa L, Yaginuma T et al (2017) Microbubble moving in blood flow in microchannels: effect on the cell-free layer and cell local concentration. Biomed Microdevices 19:1–10. https://doi.org/10.1007/s10544-016-0138-z
Berčič G, Pintar A (1997) The role of gas bubbles and liquid slug lengths on mass transport in the Taylor flow through capillaries. Chem Eng Sci 52:3709–3719. https://doi.org/10.1016/S0009-2509(97)00217-0
Bolivar JM, Wiesbauer J, Nidetzky B (2011) Biotransformations in microstructured reactors: more than flowing with the stream? Trends Biotechnol 29:333–342. https://doi.org/10.1016/j.tibtech.2011.03.005
Brackbill JU, Kothe DB, Zemach C (1992) A continuum method for modeling surface tension. J Comput Phys 100:335–354. https://doi.org/10.1016/0021-9991(92)90240-Y
Branger AB, Eckmann DM (2002) Accelerated arteriolar gas embolism reabsorption by an exogenous surfactant. Anesthesiology 96:971–979. https://doi.org/10.1097/00000542-200204000-00027
Bretherton FP (1961) The motion of long bubbles in tubes. J Fluid Mech 10:166. https://doi.org/10.1017/S0022112061000160
Chung PM-Y, Kawaji M (2004) The effect of channel diameter on adiabatic two-phase flow characteristics in microchannels. Int J Multiph Flow 30:735–761. https://doi.org/10.1016/J.IJMULTIPHASEFLOW.2004.05.002
Clift R, Grace JR, Weber ME (1978) Bubbles, Drops and Particles
Cosgrove D (2006) Ultrasound contrast agents: an overview. Eur J Radiol 60:324–330. https://doi.org/10.1016/J.EJRAD.2006.06.022
Davies SK, Fearn S, Allsopp LP et al (2017) Visualizing antimicrobials in bacterial biofilms: three-dimensional biochemical imaging using TOF-SIMS. mSphere 2:1–11. https://doi.org/10.1128/mSphere.00211-17
Ganapathy H, Al-hajri E, Ohadi M (2013) Mass transfer characteristics of gas–liquid absorption during Taylor flow in mini/microchannel reactors. Chem Eng Sci 101:69–80. https://doi.org/10.1016/j.ces.2013.06.005
Ganapathy H, Shooshtari A, Dessiatoun S et al (2015) Hydrodynamics and mass transfer performance of a microreactor for enhanced gas separation processes. Chem Eng J 266:258–270. https://doi.org/10.1016/j.cej.2014.12.028
Gupta R, Fletcher DF, Haynes BS (2009) On the CFD modelling of Taylor flow in microchannels. Chem Eng Sci 64:2941–2950. https://doi.org/10.1016/j.ces.2009.03.018
Han Y, Shikazono N (2009) Measurement of the liquid film thickness in micro tube slug flow. Int J Heat Fluid Flow 30:842–853. https://doi.org/10.1016/j.ijheatfluidflow.2009.02.019
Howard JA, Walsh PA, Walsh EJ (2011) Prandtl and capillary effects on heat transfer performance within laminar liquid–gas slug flows. Int J Heat Mass Transf 54:4752–4761. https://doi.org/10.1016/j.ijheatmasstransfer.2011.05.029
Irandoust S, Ertlé S, Andersson B (1992) Gas–liquid mass transfer in taylor flow through a capillary. Can J Chem Eng. https://doi.org/10.1021/ie902055p
Kang S-T, Yeh C-K (2012) Ultrasound microbubble contrast agents for diagnostic and therapeutic applications: current status and future design
Kawakami K, Kawasaki K, Shiraishi F, Kusunoki K (1989) Performance of a honeycomb monolith bioreactor in a gas–liquid–solid three-phase system. Society. https://doi.org/10.1021/ie00088a003
Lanza GM, Wickline SA (2003) Targeted ultrasonic contrast agents for molecular imaging and therapy. Curr Probl Cardiol 28:625–653. https://doi.org/10.1016/J.CPCARDIOL.2003.11.001
Li PH, Chu PK (2016) Thin film deposition technologies and processing of biomaterials. In: Thin film coatings for biomaterials and biomedical applications. pp 3–28
Merritt K, Hitchins VM, Brown SA (2000) Safety and cleaning of medical materials and devices. J Biomed Mater Res 53:131–136
Muth CMSE (2000) Venous gas embolism. Nejm 342:476–482. https://doi.org/10.1056/NEJM200002173420706
Özkan F, Wenka A, Hansjosten E et al (2016) Numerical investigation of interfacial mass transfer in two phase flows using the VOF method. Eng Appl Comput Fluid Mech 10:100–110. https://doi.org/10.1080/19942060.2015.1061555
Papadopoulou V, Tang M-X, Balestra C et al (2014) Circulatory bubble dynamics: from physical to biological aspects. Adv Colloid Interface Sci 206:239–249. https://doi.org/10.1016/J.CIS.2014.01.017
Rocha LAM, Miranda JM, Campos JBLM (2017) Wide range simulation study of taylor bubbles in circular milli and microchannels. Micromachines. https://doi.org/10.3390/mi8050154
Sattari-Najafabadi M, Esfahany MN, Wu Z, Sunden B (2018) Mass transfer between phases in microchannels: a review. Elsevier B.V
Shao N, Gavriilidis a, Angeli P (2010) Mass transfer during Taylor flow in microchannels with and without chemical reaction. Chem Eng J 160:873–881. https://doi.org/10.1016/j.cej.2010.02.049
Sobieszuk P, Pohorecki R, Cygański P, Grzelka J (2011) Determination of the interfacial area and mass transfer coefficients in the Taylor gas-liquid flow in a microchannel. Chem Eng Sci 66:6048–6056. https://doi.org/10.1016/j.ces.2011.08.029
Suo M, Griffith P (1964) Two-phase flow in capillary tubes. J Basic Eng 86:576. https://doi.org/10.1115/1.3653176
Thulasidas TC, Abraham MA, Cerro RL (1995) Bubble-train flow in capillaries of circular and square cross section. Chem Eng Sci 50:183–199. https://doi.org/10.1016/0009-2509(94)00225-G
Thulasidas TC, Abraham M, Cerro RL (1997) Flow patterns in liquid slugs during bubble-train flow inside capillaries. Chem Eng Sci 52:2947–2962. https://doi.org/10.1016/S0009-2509(97)00114-0
Triplett KA, Ghiaasiaan SM, Abdel-Khalik SI, Sadowski DL (1999) Gas-liquid two-phase flow in microchannels Part I: two-phase flow patterns. Int J Multiph Flow 25:377–394. https://doi.org/10.1016/S0301-9322(98)00054-8
van Baten JMM, Krishna R (2004) CFD simulations of mass transfer from Taylor bubbles rising in circular capillaries. Chem Eng Sci 59:2535–2545. https://doi.org/10.1016/j.ces.2004.03.010
Vandu CO, Liu H, Krishna R (2005) Mass transfer from Taylor bubbles rising in single capillaries. Chem Eng Sci 60:6430–6437. https://doi.org/10.1016/j.ces.2005.01.037
Veerachamy S, Yarlagadda T, Manivasagam G, Yarlagadda PK (2014) Bacterial adherence and biofilm formation on medical implants: A review. Proc Inst Mech Eng Part H J Eng Med 228:1083–1099. https://doi.org/10.1177/0954411914556137
Warnier MJF, Rebrov EV, de Croon MHJM et al (2007) Gas hold-up and liquid film thickness in Taylor flow in rectangular microchannels. Chem Eng J 135:153–158. https://doi.org/10.1016/j.cej.2007.07.008
Wörner M (2012) Numerical modeling of multiphase flows in microfluidics and micro process engineering: a review of methods and applications. Microfluid Nanofluidics 12:841–886. https://doi.org/10.1007/s10404-012-0940-8
Youngs D (1982) Time-dependent multi- material flow with large fluid distortion. Numer Methods Fluid Dyn 273–285
Yue J, Chen G, Yuan Q et al (2007) Hydrodynamics and mass transfer characteristics in gas–liquid flow through a rectangular microchannel. Chem Eng Sci 62:2096–2108. https://doi.org/10.1016/j.ces.2006.12.057
Yue J, Luo L, Gonthier Y et al (2009) An experimental study of air-water Taylor flow and mass transfer inside square microchannels. Chem Eng Sci 64:3697–3708. https://doi.org/10.1016/j.ces.2009.05.026
Zaloha P, Kristal J, Jiricny V et al (2012) Characteristics of liquid slugs in gas-liquid Taylor flow in microchannels. Chem Eng Sci 68:640–649. https://doi.org/10.1016/j.ces.2011.10.036
Zhao CX, Middelberg APJ (2011) Two-phase microfluidic flows. Chem Eng Sci 66:1394–1411. https://doi.org/10.1016/j.ces.2010.08.038
