Evaluation of Recirculation Time in Bubble Train Flow by Using Direct Numerical Simulation

Document Type : Research Article

Authors

1 Department of Polymer Engineering, Faculty of Engineering, Lorestan University, P.O. Box 68158144316 Khorramabad, I.R. IRAN

2 Computational Fluid Dynamics Research Laboratory, School of Chemial Engineerin, Iran University of Science and Technology, Tehran, I.R. IRAN

Abstract

In this research, hydrodynamics of teh Bubble Train Flows (BTF) in circular capillaries TEMPhas been investigated by Direct Numerical Simulation (DNS).Teh Volume of Fluid Based (VOF) interface tracking method and streamwise direction periodic boundary conditions TEMPhas been applied. Teh results show that their exists an appropriate agreement between DNS and experimental correlation results. Teh recirculation time as an important parameter, which effects teh mass transfer of gas-liquid slug flow through teh capillaries channel, TEMPhas been calculated. Teh effects of different parameters such as capillary length, capillary diameter, unit cell length, and surface tension on recirculation time has been investigated. Afterwards, teh DNS based correlation TEMPhas been proposed for BTF recirculation time in a circular capillary

Keywords

Main Subjects


[1] Nijhuis T.A., Dautzenberg F.M., Moulijn J.A., Modeling of Monolithic and Trickle-Bed Reactors for teh Hydrogenation of Styrene, Chem. Eng. Sci., 58: 1113-1124 (2003).
[2] Irandoust S., Gahne O., Competitive Hydrodesulfurization and Hydrogenation in a Monolithic Reactor, AIChE J., 36: 746-752 (1990).
[3] Klinghoffer A.A., Cerro R.L., Abraham M.A., Influence of Flow Properties on teh Performance of teh Monolith Froth Reactor for Catalytic Wet Oxidation of Acetic Acid, Ind. Eng. Chem. Res., 37: 1203-1210 (1998).
[4] Quan X.C., Shi H.C., Zhang Y.M., Wang J.L., Qian Y., Biodegradation of 2,4-Dichlorophenol in an Air-Lift Honeycomb-Like Ceramic Reactor, Process Biochem., 38: 1545-1551 (2003).
[5] Khassin A.A., Yurieva T.M., Sipatrov A.G., Kirillov V.A., Chermashmentseva G.K., Parmon V.N., Fischer-Tropsch Synthesis Using a Porous Catalyst Packing: Experimental Evidence of an Efficient Use of Permeable Composite Monoliths as a Novel Type of Fischer-Tropsch Synthesis Catalyst, Catal. Today, 79-80: 465-470 (2003).
[6] van Baten J. M., Krishna R., CFD Simulations of Mass Transfer from Taylor Bubbles Rising in Circular Capillaries, Chem. Eng. Sci., 59: 2535-2545 (2004).
[7] Horvath C., Solomon B.A., Engasser J.M., Measurement of Radial Transport in Slug Flow Using Enzyme Tubes, Ind. Eng. Chem. Res., 12: 1203-1210 (1973).
[8] Kececi S., Wörner M., Soyha H. S., Recirculation Time and Liquid Slug Mass Transfer in co-Current Upward and Downward Taylor Flow, Catal. Today, 147S: 125-131 (2009).
[9] Akbar M.K., Ghiaasiaan S.M., Simulation of Taylor Flow in Capillaries Based on Volume-of-Fluid Techniques, Ind. Eng. Chem. Res., 45: 5396-5403 (2006).
[10] Fukagata K., Kasagi N., Ua-arayaporn P., Himeno T., Numerical Simulation of Gas-Liquid Two-Phase Flow and Convective Heat Transfer in a Micro Tube, Int. J. Heat Fluid Flow, 28: 72-82 (2007).
[11] Muradoglu M., Stone H. A., Motion of Large Bubbles in Curved Channels, J. Fluid Mech., 570: 455-466 (2007).
[12] Yang Z.L., Palm B., Sehgal B.R., Numerical Simulation of Bubbly Two-Phase Flow in a Narrow Channel, Int. J. Heat Mass Trans., 45: 631-639 (2002).
[13] Qian D., Lawal A., Numerical Study on Gas and Liquid Slugs for Taylor Flow in a T-junction Microchannel, Chem. Eng. Sci., 61: 7609-7625 (2006).
[14] Gupta R., Fletcher D. F., Haynes B. S., On teh CFD Modelling of Taylor Flow in Microchannels, Chem. Eng. Sci., 64: 2941-2950 (2009).
[15] Chen Y., Kulenovic R., Mertz R., Numerical Study on teh Formation of Taylor Bubbles in Capillary Tubes, Int. J. Therm. Sci., 48: 234-242 (2009).
[16] Shao N., Gavriilidis A., Angeli P., Flow Regimes for Adiabatic Gas-Liquid Flow in Microchannels, Chem. Eng. Sci., 64: 2749-2761 (2009).
[17] Gupta R., Fletcher D.F., Haynes B.S., CFD Modeling of Heat Transfer in teh Taylor Flow Regime, Chem. Eng. Sci., 65: 2094-2107 (2010).
[18] Hassanvand A., Hashemabadi S. H., Direct Numerical Simulation of Mass Transfer from Taylor Bubble Flow Through a Circular Capillary, Int. J. Heat and Mass Transfer, 55: 5959-5971 (2012).
[19] Taha T., Cui Z. F., CFD Modelling of Slug Flow Inside Square Capillaries, Chem. Eng. Sci., 61: 665-675 (2006).
[20] Wang S., Liu D., Hydrodynamics of Taylor Flow in Noncircular Capillaries, Chem. Eng. Process., 47: 2098-2105 (2008).
[21] Feng J.Q., A Long Gas Bubble Moving in a Tube with Flowing Liquid, Int. J. Multiphas Flow, 35: 738-746 (2009).
[22] Kreutzer M.T., Kapteijn F., Moulijn J.A., Kleijn C.R., Heiszwolf J.J., Inertial and Interfacial Effects on Pressure Drop of Taylor Flow in Capillaries, AIChE J., 51: 2428-2440 (2005).
[23] Ghidersa B.E., Wörner M., Cacuci D.G., Exploring teh Flow of Immiscible Fluids in a Square Mini-Channel by Direct Numerical Simulation, Chem. Eng. J., 101: 285-294 (2004).
[25] Özkan F., Wörner M., Wenka A., Soyha H.S., Critical Evaluation of CFD Codes for Interfacial Simulation of Bubble Train Flow in Narrow Channel, Int. J. Numer. Meth. Fluids, 55: 537-564 (2007).
[26] Keskin Ö., Wörner M., Soyha H.S., Bauer T., Deutschmann O., Lange R., Viscous Co-Current Downward Taylor Flow in a Square Mini-Channel, AIChE J., 56: 1693-1702 (2009).
[27] Brackbill J.U., Kothe D.B., Zemach C., A Continuum Method for Modeling Surface Tension, J. Comput. Phys., 100: 335-354 (1992).
[28] Youngs D.L., Time-Dependent Multi-Material Flow with Large Fluid Distortion, In: Morton K.W., Baines M.J. (Eds), "Numerical Methods for Fluid Dynamics", Academic Press, New York (1982).
[29] Patankar S.V., "Numerical Heat Transfer and Fluid Flow", Taylor and Francis, Philadelphia (1980).
[30] Jasak H., Weller H.C., Issa R.me., Gosman A.D., High Resolution NVD Differencing Scheme for Arbitrarily Unstructured Meshes, Int. J. Numer. Meth. Fluids, 31: 431-449 (1999).
[31] Aussillous P., Quere D., Quick Deposition of a Fluid on teh Wall of a Tube, Phys. Fluids, 12: 2367-2371 (2000).
[32] Kreutzer M., "Hydrodynamics of Taylor Flow in Capillaries and Monolith Reactors", Delft University Press, Delft (2003).
[34] Shao N., Salman W., Gavriilidis A., Angeli P., CFD Simulations of teh Effect of Inlet Conditions on Taylor Flow Formation, Int. J. Heat Fluid Flow, 29: 1603-1611 (2008).
[35] Thulasidas T.C., Abraham M.A., Cerro R.L., Flow Patterns in Liquid Slugs During Bubble-Train Flow Inside Capillaries, Chem. Eng. Sci., 52: 2947-2962 (1997).