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Numerical Simulation of Unidirectional Stratified Flow by Moving Particle Semi Implicit Method

Published online by Cambridge University Press:  03 June 2015

Shaoshan Rong ,
Haiwang Li ,
Martin Skote ,
Teck Neng Wong  and
Fei Duan
Shaoshan Rong*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
Haiwang Li*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798 National Key Lab of Science and Technology on Aero-Engines, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
Martin Skote*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
Teck Neng Wong*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
Fei Duan*
Affiliation:
School of Mechanical and Aerospace Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798
*
Email:19820912@sina.com
Email:liha0008@e.ntu.edu.sg
Email:MSKOTE@ntu.edu.sg
Corresponding author.Email:mtnwong@ntu.edu.sg
Email:FeiDuan@ntu.edu.sg
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Abstract

Numerical simulation of stratified flow of two fluids between two infinite parallel plates using the Moving Particle Semi-implicit (MPS) method is presented. The developing process from entrance to fully development flow is captured. In the simulation, the computational domain is represented by various types of particles. Governing equations are described based on particles and their interactions. Grids are not necessary in any calculation steps of the simulation. The particle number density is implicitly required to be constant to satisfy incompressibility. The weight function is used to describe the interaction between different particles. The particle is considered to constitute the free interface if the particle number density is below a set point. Results for various combinations of density, viscosity, mass flow rates, and distance between the two parallel plates are presented. The proposed procedure is validated using the derived exact solution and the earlier numerical results from the Level-Set method. Furthermore, the evolution of the interface in the developing region is captured and compares well with the derived exact solutions in the developed region.

Keywords

76TXXMoving particle semi-implicitliquid-liquid stratified flowflow developing
Type
Research Article
Information
Communications in Computational Physics , Volume 15 , Issue 3 , March 2014 , pp. 756 - 775
Copyright
Copyright © Global Science Press Limited 2014

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References

[1]Gao, H., Gu, H. Y. and Guo, L. J., Numerical study of stratified oil-water two-phase turbulent flow in a horizontal tube, Heat, Int. J.Mass Tran., 46 (2003), 749–754.Google Scholar
[2]Razwan, S., Numerical study of stratified oil-water two phase flow in horizontal and slightly inclined pipes, in: Mech. Eng., King Fahd University of Petroleum & Minerals, 2007.Google Scholar
[3]Torres-Monzon, C. F., Modeling of oil-water flow in horizontal and near horizontal pipes, in: The Graduate School, The University of Tulsa, 2006.Google Scholar
[4]Vigneaux, P., Chenais, P. and Hulin, J. P., Liquid-liquid flows in an inclined pipe, AIChE J., 34 (1988), 781–789.Google Scholar
[5]Angeli, P. and Hewitt, G. F., Pressure gradient in horizontal liquid-liquid flows, Int. J. Multi-phas Flow, 24 (1998), 1183–1203.Google Scholar
[6]Abduvayt, P., Manabe, R., Watanabe, T. and Arihara, N., Analysis of oil/water-flow tests in horizontal, hilly terrain, and vertical pipes, SPE Production and Operations, 21 (2006), 123–133.Google Scholar
[7]Lovick, J. and Angeli, P., Experimental studies on the dual continuous flow pattern in oil-water flows, Int. J. Multiphas Flow, 30 (2004), 139–157.Google Scholar
[8]Ullmann, A., Zamir, M., Gat, S. and Brauner, N., Multi-holdups i n co-current stratified flow in inclined tubes, Int. J. Multiphas Flow, 29 (2003), 1565–1581.Google Scholar
[9]Oddie, G., Shi, H., Durlofsky, L. J., Aziz, K., Pfeffer, B. and Holmes, J. A., Experimental study of two and three phase flows in large diameter inclined pipes, Int. J. Multiphas Flow, 29 (2003), 527–558.Google Scholar
[10]Angeli, P. and Hewitt, G. F., Flow structure in horizontal oil-water flow, Int. J. Multiphas Flow, 26 (2000), 1117–1140.Google Scholar
[11]Lockhart, R. W. and Martinelli, R. C., Proposed correlation of data for isothermal two-phase, two-component flow in pipes, Chem. Eng. Prog., 45 (1949), 39–48.Google Scholar
[12]Bentwich, M., Two-phase axial laminar flow in a pipe with naturally curved interface, Chem. Eng. Sci., 31 (1976), 71–76.CrossRefGoogle Scholar
[13]Ranger, K. B. and Davis, A. M. J., Steady pressure driven two-phase stratified laminar flow through a pipe, Can. J. Chem. Eng., 57 (1979), 688–691.Google Scholar
[14]Brauner, N., Rovinsky, J. and Maron, D. M., Analytical solution for laminar-laminar two-phase stratified flow in circular conduits, Chem. Eng. Commun., 141–142 (1996), 103–143.Google Scholar
[15]Kurban, A. P. A., Stratified Liquid-Liquid Flow, in: Imperial College, University of London, London, 1997.Google Scholar
[16]Biberg, D. and Halvorsen, G., Wall and interfacial shear stress in pressure driven two-phase laminar stratified pipe flow, Int. J. Multiphas Flow, 26 (2000), 1645–1673.Google Scholar
[17]Hall, A. R. W. and Hewitt, G. F., Application of two-fluid analysis to laminar stratified oil-water flows, Int. J. Multiphas Flow, 19 (1993), 711–717.Google Scholar
[18]Khor, S. H., Mendes-Tatsis, M. A. and Hewitt, G. F., One-dimensional modelling of phase holdups in three-phase stratified flow, Int. J. Multiphas Flow, 23 (1997), 885–897.Google Scholar
[19]Elseth, G. K., H. K., and Melaaen, M. C., Measurement of velocity and phase fraction in stratified oil/water flow, Int. Symp. Multiphase Flow Trans. Phenomena, (2000), 206–210.Google Scholar
[20]Yap, Y. F., Chai, J. C., Toh, K. C., Wong, T. N. and Lam, Y. C., Numerical modeling of unidirectional stratified flow with and without phase change, Int. J. Heat Mass Tran., 48 (2005), 477–486.Google Scholar
[21]Coupez, T., Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing, J. Comput. Phys., 230 (2011), 2391–2405.Google Scholar
[22]Coupez, T., Jannoun, G., Nassif, N., Nguyen, H. C., Digonnet, H. and Hachem, E., Adaptive time-step with anisotropic meshing for incompressible flows, J. Comput. Phys., 241 (2013), 195–211.CrossRefGoogle Scholar
[23]Oh, C. H., Interfaical interaction in two-phase gas-non-Newtonian liquid flow systems, in: Department of Chemical Engineering, Washington State University, Washington, 1985, pp. 254.Google Scholar
[24]Barnea, D., Shoham, O., Taitel, Y. and Dukler, A. E., Flow pattern transition for gas-liquid flow in horizontal and inclined pipes. Comparison of experimental data with theory, Int. J. Multiphas Flow, 6 (1980), 217–225.Google Scholar
[25]Schubring, D. L., Behavior Interrelationships in Annular Flow, in University of Wisconsin-Madison, Madison, Wisconsin, 2009.Google Scholar
[26]Koshizuka, S. and Oka, Y., Moving-particle semi-implicit method for fragmentation of incompressible fluid, Nucl. Sci. Eng., 123 (1996), 421–434.Google Scholar
[27]Gotoh, H. and Sakai, T., Key issues in the particle method for computation of wave breaking, Coast Eng., 53 (2006), 171–179.CrossRefGoogle Scholar
[28]Koshizuka, S., Nobe, A. and Oka, Y., Numerical analysis of breaking waves using the moving particle semi-implicit method, Int. J. Numer. Meth. Fl., 26 (1998), 751–769.Google Scholar
[29]Anthony, F. H. H. and Amsden, A., The SMAC Method: A Numerical Technique for Calculating Incompressible Fluid Flows, Los Alamos Scientific Laboratory of the University of California, 1970.Google Scholar