Analytical and Level Set Method-Based Numerical Study for Two-Phase Stratified Flow in a Pipe

REFERENCES

• K. B. Ranger and A. M. J. Davis , Steady Pressure Driven Two-Phase Stratified Laminar Flow Through a Pipe , Can. J. Chem. Eng. , vol. 57 , pp. 688 – 691 , 1979 .
   Web of Science ®Google Scholar
• N. Brauner , J. Rovinsky , and D. Moalem Maron , Analytical Solution for Laminar-Laminar Two-Phase Flow in Circular Conduits, Chem. Eng. Comm. , vol. 141/142, pp. 103–143, 1996.
   Web of Science ®Google Scholar
• D. Biberg and G. Halvorsen , Wall and Interfacial Shear Stress in Pressure Driven Two-Phase Laminar Stratified Pipe Flow , Int. J. Multiphase Flow , vol. 26 , pp. 975 – 1004 , 2000 .
   Web of Science ®Google Scholar
• R. W. Lockhart and R. C. Martinelli , Proposed Correlation of Data for Isothermal Two-Phase Two-Component Flow in Pipes , Chem. Eng. Prog. , vol. 45 , pp. 31 – 39 , 1949 .
   Google Scholar
• T. W. F. Russell and M. E. Charles , The Effect of the Less Viscous liquid in the Laminar Flow of Two Immiscible Liquids , Can. J. Chem. Eng. , vol. 37 , pp. 18 – 24 , 1959 .
   Google Scholar
• Y. Taitel and A. E. Dukler , Theoretical Approach to Lockhart Martinelli Correlation for Stratified Flow , Int. J. Multiphase Flow , vol. 2 , pp. 591 – 595 , 1976 .
   Google Scholar
• L. Friedel , Improved Friction Pressure Drop Correlations for Horizontal and Vertical Two-Phase Pipe Flow, European Two-Phase Flow Group Meeting, Ispra, Italy, Paper E2, 1979.
   Google Scholar
• R. Issa , Prediction of Turbulent Stratified Two-Phase Flow in Inclined Pipes and Channels , Int. J. Multiphase Flow , vol. 14 , pp. 141 – 154 , 1988 .
   Web of Science ®Google Scholar
• N. Brauner , D. Moalem , and J. Rvinsky , A Two-Fluid Model for Stratified Flows with Curved Interface , Int. J. Multiphase Flow , vol. 24 , pp. 975 – 1004 , 1998 .
   Web of Science ®Google Scholar
• C. H. Newton and M. Behnia , Numerical Calculation of Turbulent Stratified Gas-Liquid Pipe Flows , Int. J. Multiphase Flow , vol. 26 , pp. 327 – 337 , 2000 .
   Web of Science ®Google Scholar
• N. Brauner , J. Rovinsky , and D. Moalem Maron , Determination of the Interface Curvature in Stratified Two-Phase Systems by Energy Considerations , Int. J. Multiphase Flow , vol. 22 , pp. 1167 – 1185 , 1996 .
   Web of Science ®Google Scholar
• D. Gorelik and N. Brauner , The Interface Configuration in Two-Phase Stratified Pipe Flows , Int. J. Multiphase Flow , vol. 25 , pp. 977 – 1007 , 1999 .
   Web of Science ®Google Scholar
• T. S. Ng , C. J. Lawrence , and G. F. Hewitt , Interface Shape for Two-Phase Laminar Stratified Flow in a Circular Pipe , Int. J. Multiphase Flow , vol. 27 , pp. 1301 – 1311 , 2001 .
   Web of Science ®Google Scholar
• T. S. Ng , C. J. Lawrence , and G. F. Hewitt , Laminar Stratified Pipe Flow , Int. J. Multiphase Flow , vol. 27 , pp. 1301 – 1311 , 2002 .
   Web of Science ®Google Scholar
• T. S. Ng , C. J. Lawrence , and G. F. Hewitt , Friction Factor in Stratified Two-Phase Flows , Chem. Eng. Research Design , vol. 82–83 , pp. 309 – 320 , 2004 .
   Web of Science ®Google Scholar
• P. A. Berthelesen and T. Ytrehus , Stratified Smooth Two-Phase Flow using the Immersed Interface Method , Comput. Fluid , vol. 36 , pp. 1273 – 1289 , 2007 .
   Web of Science ®Google Scholar
• J. Duana , J. Gonga , H. Yaob , T. Denga , and J. Zhoua , Numerical Modeling for Stratified Gas–liquid Flow and Heat Transfer in Pipeline , Appl. Energy , vol. 115 , pp. 83 – 94 , 2014 .
   Web of Science ®Google Scholar
• J. Ong , G. Enden , and A. S. Popel , Converging Three Dimensional Stokes Flow of Two Fluids in a T-type Bifurcation , J. Fluid Mech. , vol. 270 , pp. 51 – 71 , 1993 .
   Web of Science ®Google Scholar
• D. Datta , V. H. Gada , and A. Sharma , Analytical and Level Set Method based Numerical Study for Two-Phase Stratified Flow in a Plane Channel and a Square Duct , Numer. Heat Transfer-A , vol. 60–64 , pp. 347 – 380 , 2011 .
   Web of Science ®Google Scholar
• M. Sussman , P. Smereka , and S. Osher , A Level Set Method of Computing Solutions to Incompressible Two-Phase Flow , J. Comput. Phys. , vol. 119 , pp. 146 – 159 , 1994 .
   Web of Science ®Google Scholar
• V. H. Gada and A. Sharma , On Derivation and Physical-Interpretation of Level Set Method based Equations for Two-Phase Flow Simulations , Numer. Heat Transfer-B , vol. 56–4 , pp. 307 – 322 , 2009 .
   Web of Science ®Google Scholar
• Y. C. Chang , T. Y. Hou , B. Merriman , and S. A. Osher , Level set Formulation of Eulerian Interface Capturing Methods for Incompressible Fluid Flows , J. Comput. Phys. , vol. 124 , pp. 449 – 464 , 1996 .
   Web of Science ®Google Scholar
• Y. Suh and G. Son , A Level-Set Method for Simulation of a Thermal Inkjet Process , Numer. Heat Transfer B , vol. 54 , pp. 138 – 156 , 2008 .
   Web of Science ®Google Scholar
• V. H. Gada , A Novel Level-Set based CMFD Methodology in 2D/3D Cartesian and Cylindrical Coordinates and its Application for Analysis of Stratified flow and Film Boiling, Ph.D Thesis, Indian Institute of Technology Bombay, Mumbai, India, 2012.
   Google Scholar
• V. Aggarwal , V. H. Gada , and A. Sharma , Parallelization-Methodology and Performance-Study for Level Set Method Based Simulation of 3D Transient Two-Phase Flow , Numer. Heat Transfer-B , vol. 63–64 , pp. 327 – 356 , 2013 .
   Web of Science ®Google Scholar
• F. Durst , S. Ray , B. Unsal , and O. A. Bayoumi , The Development Lengths of Laminar Pipe and Channel Flows , Trans. ASME , vol. 127 , pp. 1154 – 1160 , 2005 .
   Google Scholar
• Y. F. Yap , J. C. Chai , K. C. Toh , and T. N. Wong , Modeling the Flows of Two Immiscible Fluids in a Three-Dimensional Square Channel using the Level-Set Method , Numer. Heat Transfer-A , vol. 19–9 , pp. 893 – 904 , 2006 .
   Web of Science ®Google Scholar
• B. Khomami , Interfacial Stability and Deformation of Two Stratified Power Law Fluids in Plane Poiseuille Flow , J. Non-Newtonian Fluid Mech. , vol. 37 , pp. 19 – 36 , 1990 .
   Web of Science ®Google Scholar
• Q. Cao , K. Sarkar , and A. K. Prasad , Direct Numerical Simulations of Two-Layer Viscosity Stratified Flow , Int. J. Multiphase Flow , vol. 30 , pp. 1485 – 1508 , 2004 .
   Web of Science ®Google Scholar
• P. T. Zubkov , V. V. Serebryakov , E. E. Son , and E. N. Tarasova , Steady-State Flow of Two Viscous Immiscible Incompressible Fluids in a Plane Channel , High Temperature , vol. 43–45 , pp. 769 – 774 , 2005 .
   Web of Science ®Google Scholar
• Color versions of one or more of the figures in the article can be found online at www.tandfonline.com/unht.
   Google Scholar