Numerical modeling of two-fluid Taylor-Couette flow with deformable capillary liquid-liquid interface

Physics of Fluids

Volumn 16, Issue 11, 2004, Pages 4066-4074

  Gelfgat, Alexander Yu ^a   Yarin, Alexander L ^b   Bar Yoseph, Pinhas Z ^b   Graham, Michael D ^c   Bai, Guiyu ^c  

^a TEL AVIV UNIVERSITY   (Israel)

^b TECHNION ISRAEL INSTITUTE OF TECHNOLOGY   (Israel)

^c UNIVERSITY OF WISCONSIN MADISON   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

FORMABILITY; MASS TRANSFER; SURFACE TENSION; VORTEX FLOW;

LEVEL SET METHODS; LIQUID LAYERS; LIQUID-LIQUID INTERFACES; TAYLOR-COUETTE FLOW;

FLOW OF FLUIDS;

INTERFACE; LIQUID-LIQUID EQUILIBRIUM; MATHEMATICAL ANALYSIS; TAYLOR-COUETTE FLOW;

EID: 8844280188     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1791171     Document Type: Article

References (24)

1. G. Baier, M. D. Graham, and E. N. Lightfoot, "Mass transport in a novel two-fluid Taylor vortex extractor," AIChE J. 46, 2395 (2000).
2. J. Sato, "Axial dispertion in Taylor-Couette flow," University of Madison-Wisconsin, Report No. 175, 2000.
3. G. Baier, T. M. Grateful, M. D. Graham, and E. N. Lightfoot, "Prediction of mass transfer rates in spatially periodic flows," Chem. Eng. Sci. 54, 343 (1999).
4. A. L. Yarin, A. Yu. Gelfgat, and P. Z. Bar-Yoseph, "Enhancement of mass transfer in a two-layer Taylor-Couette apparatus with axial flow," Int. J. Heat Mass Transfer 45, 555 (2002).
5. A. Sethian, Level Set Methods and Fast Marching Methods (Cambridge University Press, Cambridge, 1999).
6. G. Baier and M. D. Graham, "Two-fluid Taylor-Couette flow: Experiments and linear theory for immiscible liquids between corotating cylinders," Phys. Fluids 10, 3045 (1998).
7. G. Baier and M. D. Graham, "Two-fluid Taylor-Couette flow with countercurrent axial flow: Linear theory for immiscible liquids between corotating cylinders," Phys. Fluids 12, 294 (2000).
8. Y. Renardy and D. D. Joseph, "Couette flow of two fluids between concentric cylinders," J. Fluid Mech. 150, 381 (1985 ).
9. D. D. Joseph, Y. Renardy, M. Renardy, and K. Nguen, "Stability of rigid motions and rollers in bicomponent flows of immiscible liquids," J. Fluid Mech. 153, 151 (1985).
10. M. Sussman, P. Smereka, and S. Osher, "A level set approach for computing solutions to incompressible two-phase flow," J. Comput. Phys. 114, 146 (1994).
11. Y. C. Chang, T. Y Hou, B. Merriman, and S. Osher, "A level set formulation of Eulerian interface capturing methods for incompressible fluid flows," J. Comput. Phys. 124, 449 (1996 ).
12. J. U. Brackbill, D. B. Kothe, and C. Zemach, "A continuum method for modeling surface tension," J. Comput. Phys. 100, 335 (1992).
13. C. S. Peskin, "Numerical analysis of blood flow in the heart," J. Comput. Phys. 97, 220 (1977).
14. S. Osher and F. P. Fedkiw, "Level set methods: An overview and some recent results," J. Comput. Phys. 169, 463 (2001).
15. S. V. Patankar and D. B. Spalding, "A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows," Int. J. Heat Mass Transfer 15, 1787 (1972).
16. M. Sussman and E. Fatemi, "An efficient, interface-preserving level set redistancing algorithm and its application to interfacial incompressible fluid flow," SIAM J. Sci. Comput. (USA) 20, 1165 (1999).
17. M. Sussman and P. Smereka, "Axisymmetric free boundary problems," J. Fluid Mech. 341, 269 (1997).
18. D. Peng, B. Merriman, S. Osher, H. Zhao, and M. Kang, "A PDE-based fast level set method," J. Comput. Phys. 155, 410 (1999).
19. W. Schröder and H. B. Keller, "Wavy Taylor-vortex flows via multigrid-continuation methods," J. Comput. Phys. 91, 197 (1990).
20. S. N. Reznik and A. L. Yarin, "Spreading of a viscous drop due to gravity and capillarity on a horizontal or an inclined dry wall," Phys. Fluids 14, 118 (2002).
21. S. N. Reznik and A. L. Yarin, "Strong squeezing flow between parallel plates leads to rolling motion at the contact line," Int. J. Multiphase Flow 28, 911 (2002).
22. S. N. Reznik and A. L. Yarin, "Spreading of an axisymmetric viscous drop due to gravity and capillarity on a dry horizontal wall," Int. J. Multiphase Flow 28, 1437 (2002).
23. D. Coles, "Transition in circular Couette flow," J. Fluid Mech. 21, 385 (1965).
24. K. A. Cliffe and T. Mullin, "A numerical and experimental study of anomalous modes in the Taylor experiment," J. Fluid Mech. 153, 243 (1985).