Three-dimensional fluid mechanics of particulate two-phase flows in U-bend and helical conduits

Physics of Fluids

Volumn 18, Issue 4, 2006, Pages

  Tiwari, Prashant ^a   Antal, Steven P ^a   Podowski, Michael Z ^a  

^a RENSSELAER POLYTECHNIC INSTITUTE   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; FLOW INTERACTIONS; MATHEMATICAL MODELS; REYNOLDS NUMBER; SHEAR STRESS; TWO PHASE FLOW; VORTEX FLOW;

DEAN VORTICES; HELICAL CONDUITS; NONDIMENSIONAL FLOW; U-BEND CONDUITS;

PIPE FLOW;

COMPUTATIONAL FLUID DYNAMICS; COMPUTATIONAL GEOMETRY; FLOW INTERACTIONS; MATHEMATICAL MODELS; PIPE FLOW; REYNOLDS NUMBER; SHEAR STRESS; TWO PHASE FLOW; VORTEX FLOW;

EID: 33745592536     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2189212     Document Type: Article

References (37)

1. G. I. Taylor, "Stability of a viscous liquid contained between two rotating cylinders," Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428 223, 289 (1923).
2. W. R. Dean, "Fluid motion in a curved channel," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 121, 402 (1928).
3. A. Y. Gelfgat, A. L. Yarin, and P. Z. Bar-Yoseph, "Dean vortices-induced enhancement of mass transfer through an interface separating two immiscible liquids," Phys. FluidsPHFLE61070-663110.1063/1.1532732 15, 330 (2003).
4. H. B. Winzeler and G. Belfort, "Enhanced performance for pressure-driven membrane processes: The argument for fluid instabilities," J. Membr. Sci.JMESDO0376-738810.1016/ 0376-7388(93)85130-O 80, 35 (1993).
5. G. Gehlert, S. Luque, and G. Belfort, "Comparison of ultra and microfiltration in the presence and absence of secondary flow with polysaccharides, protein and yeast suspensions," Biotechnol. Prog.BIPRET8756-7938 14, 931 (1998).
6. P. Tiwari, S. P. Antal, and M. Z. Podowski, "On the modeling of dispersed particulate flows using a multifield model," Computational Fluid and Solid Mechanics 2003, edited by K. J. Bathe, Vol. 1, p. 1160 (2003).
7. P. Tiwari, S. P. Antal, A. Burgoyne, G. Belfort, and M. Z. Podowski, "Multifield computational fluid dynamics model of particulate flow in curved circular tubes," Theor. Comput. Fluid Dyn.TCFDEP0935-4964 18, 205 (2004).
8. R. M. C. So, H. S. Zhang, and Y. G. Lai, "Secondary cells and separation in developing laminar curved-pipe flows," Theor. Comput. Fluid Dyn.TCFDEP0935-496410.1007/BF00271799 3, 141 (1991).
9. K. Y. Chung, M. E. Brewster, and B. Belfort, "Dean vortices with wall flux in a curved channel membrane systems: 2. The velocity field," AIChE J.AICEAC0001-1541 42, 347 (1996).
10. K. Yamamoto, S. Yanase, and T. Yoshida, "Torsion effect on the flow in a helical pipe," Fluid Dyn. Res.FDRSEH0169-598310.1016/ 0169-5983(94)90035-3 14, 259 (1994).
11. Ph. Moulin, D. Veyret, and F. Charbit, "Dean vortices: Comparison of numerical simulation of shear stress and improvement of mass transfer in membrane processes at low permeation fluxes," J. Membr. Sci.JMESDO0376-7388 183, 149 (2001).
12. P. Moulin, P. Manno, J. C. Rouch, C. Serra, M. J. Clifton, and P. Aptel, "Flux improvement by Dean vortices: Ultrafiltration of colloidal suspensions and macromolecular suspensions," J. Membr. Sci.JMESDO0376-7388 156, 109 (1999).
13. H. Mallubhotla, G. Belfort, W. A. Edelstein, and T. A. Early, "Dean vortex stability using magnetic resonance flow imaging and numerical analysis," AIChE J.AICEAC0001-154110.1002/aic.690470519 47, 1126 (2001).
14. M. Hidayat and A. Rasmuson, "Numerical assessment of gas-solid flow in a U-bend," Chem. Eng. Res. Des.CERDEE0263-876210.1205/ 026387604322870444 82, 332 (2004).
15. A. Levy and D. J. Mason, "The effect of a bend on the particle cross-section concentration and segregation in pneumatic conveying systems," Powder Technol.POTEBX0032-5910 98, 95 (1998).
16. H. Gao, L. Guo, and X. Zhang, "Liquid-solid separation phenomenon of two-phase turbulent flow in curved pipes," Int. J. Heat Mass TransferIJHMAK0017-9310 45, 4995 (2002).
17. D. A. Drew and S. L. Passman, Theory of Multicomponent Fluids (Springer-Verlag, New York, 1999).
18. C. E. Brennen, Fundamentals of Multiphase Flows (Cambridge University Press, Cambridge, 2005).
19. G. S. Arnold, D. A. Drew, and R. T. Lahey, Jr., "Derivation of constitutive equations for interfacial force and Reynolds stress for a suspension of spheres using ensemble averaging," Chem. Eng. Commun.CEGCAK0098-6445 86, 43 (1989).
20. M. Z. Podowski, "Understanding multiphase flow and heat transfer: perception, reality, future needs," Archives of Thermodynamics 26, 1 (2005).
21. G. K. Batchelor, "The stress system in a suspension of force-free particles," J. Fluid Mech.JFLSA70022-112010.1017/S0022112070000745 41, 545 (1970).
22. Y. A. Buyevich, "Statistical hydrodynamics of disperse systems, physical background and general equations," J. Fluid Mech.JFLSA70022-1120 49, 489 (1971).
23. M. Ishii and N. Zuber, "Relative motion and interfacial drag coefficient in dispersed two-phase flow of bubbles, drops and particles," AIChE J.AICEAC0001-154110.1002/aic.690250513 25, 843 (1979).
24. K. Tanishita, P. D. Richardson, and P. M. Galletti, "Tightly wound coils of microporous tubing: Progress with secondary-flow blood oxygenator design," Trans. Am. Soc. Artif. Intern. OrgansTAIOAL0066-0078 21, 216 (1975).
25. S. A. Berger, L. Talbot, and L.-S. Yao, "Flow in curved pipes," Annu. Rev. Fluid Mech.ARVFA30066-418910.1146/ annurev.fl.15.010183.002333 15, 461 (1983).
26. M. P. Singh, "Entry flow in a curved pipe," J. Fluid Mech.JFLSA70022-1120 65, 517 (1974).
27. L. S. Yao and S. A. Berger, "Entry flow in a curved pipe," J. Fluid Mech.JFLSA70022-1120 67, 177 (1975).
28. L. R. Austin and J. D. Seader, "Fully developed viscous flow in coiled circular pipes," AIChE J.AICEAC0001-1541 19, 85 (1973).
29. P. Mishra and S. N. Gupta, "Momentum transfer in curved pipes. 1. Newtonian fluids," Ind. Eng. Chem. Process Des. Dev.IEPDAW0196-4305 18, 130 (1979).
30. C. M. White, "Streamline flow through curved pipes," Proc. R. Soc. London, Ser. APRLAAZ1364-5021 123, 645 (1929).
31. J. Hart, J. Ellenberger, and P. J. Hamersma, "Single- and two-phase flow through helically coiled tubes," Chem. Eng. Sci.CESCAC0009-2509 43, 775 (1988). 775 (1988).
32. S. P. Antal, S. M. Ettorre, R. F. Kunz, and M. Z. Podowski, "Development of a next generation computer code for the prediction of multicomponent multiphase flows," in Proceedings of the International Meeting on Trends in Numerical and Physical Modeling for Industrial Multiphase Flow, Cargese, France (2000).
33. R. F. Kunz, W. S. Yu, S. P. Antal, and S. M. Ettorre, "An unstructured two-fluid method based on the coupled phasic exchange algorithm," AIAA Paper 2001-2672 (2001).
34. M. Z. Podowski, "Two-phase flow dynamics," in Boiling Heat Transfer, edited by R. T. Lahey, Jr. (Elsevier, New York, 1992).
35. H. Anglart, O. Nylund, N. Kurul, and M. Z. Podowski, "CFD simulation of flow and phase distribution in fuel assemblies with spacers," Nucl. Eng. Des.NEDEAU0029-5493 177, 215 (1997).
36. S. Benerjee, E. Rhodes, and D. S. Scott, "Film inversion of co-current two-phase flow in helical coils," AIChE J.AICEAC0001-154110.1002/aic.690130137 13, 189 (1967).
37. R. Mishra, S. N. Singh, and V. Seshadri, "Study of wear characteristics and solid distribution in constant area and erosion-resistant long-radius bends for the flow of multisized particulate slurries," WearWEARCJ0043-164810.1016/ S0043-1648(98)00147-1 217, 297 (1998).