Particle focusing in a suspension flow through a corrugated tube

Journal of Fluid Mechanics

Volumn 660, Issue , 2010, Pages 258-281

  Hewitt, G F ^a   Marshall, J S ^a  

^a University of Vermont ^*  (United States)

Author keywords

particle fluid flows; suspensions

Indexed keywords

ACCELERATION; ACCELERATION MEASUREMENT; COMPUTATION THEORY; FINITE DIFFERENCE METHOD; FINITE VOLUME METHOD; FLOW OF FLUIDS; FOCUSING; GROUNDWATER POLLUTION; REYNOLDS NUMBER; TUBES (COMPONENTS);

ACCELERATION MEASURING; ASYMPTOTIC APPROXIMATION; COMPUTATIONAL STUDIES; FLUID ACCELERATIONS; PARTICLE BEHAVIOURS; PARTICLE/FLUID FLOWS; PARTICULATE SUSPENSIONS; RADIAL ACCELERATION;

SUSPENSIONS (FLUIDS);

ADVECTION; AMPLIFICATION; DISCRETE ELEMENT METHOD; FINITE VOLUME METHOD; FLOW FIELD; FLOW MODELING; FLUID DYNAMICS; FLUID FLOW; GEOMETRY; PARTICLE MOTION; REYNOLDS NUMBER; THEORETICAL STUDY; WAVELENGTH;

EID: 77957111701     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010002697     Document Type: Article

References (55)

1. Amon, C. H., Guzmán, A. M. & Morel, M. B. 1996 Lagrangian chaos, Eulerian chaos, and mixingenhancement in converging-diverging channel flows. Phys. Fluids 8, 1192-1206.
2. Asako, Y. & Faghri, M. 1987 Finite volume solutions for laminar flow and heat transfer in acorrugated duct. J. Heat Transfer 109, 627-634.
3. Asai, M. & Floryan, J. M. 2006 Experiments on the linear instability of flow in a wavy channel. Eur. J. Mech. B/Fluids 25, 971-986.
4. Cabal, A., Szumbarski, J. & Floryan, J. M. 2002 Stability of flow in a wavy channel. J. Fluid Mech. 457, 191-212.
5. Cho, K. J., Kim, M. & Shin, H. D. 1998 Linear stability of two-dimensional steady flow inwavy-walled channel. Fluid Dyn. Res. 23, 349-370.
6. Choi, S. & Park, J.-K. 2008 Sheathless hydrophoretic particle focusing in a microchannel withexponentially increasing obstacle arrays. Anal. Chem. 80, 3035-3039.
7. Choi, S., Song, S., Choi, C. & Park, J.-K. 2008 Sheathless focusing of microbeads and blood cellsbased on hydrophoresis. Small 4 (5), 634-641.
8. Christi, Y. 2007 Biodiesel from microalgae. Biotechnol. Adv. 25, 294-306.
9. Crowe, C., Sommerfeld, M. & Tsuji, Y. 1998 Multiphase Flows with Droplets and Particles, pp. 24-32. CRC Press.
10. Cundall, P. A. & Strack, O. D. L. 1979 A discrete numerical model for granular assembles. Geotechnique 29 (1), 47-65.
11. Davis, J. A., Inglis, D. W., Morton, K. J., Lawrence, D. A., Huang, L. R., Chou, S. Y., Sturm, J. C. & Austin, R. H. 2006 Deterministic hydrodynamics: taking blood apart. Proc. Natl. Acad. Sci. USA 103, 14779-14784.
12. Di Carlo, D., Irimia, D., Tompkins, R. G. & Toner, M. 2007 Continuous inertial focusing, ordering and separation of particles in microchannels. Proc. Natl. Acad. Sci. USA 104 (48), 18892-18897.
13. Di Felice, R. 1994 The voidage function for fluid-particle interaction systems. Intl J. Multiph. Flow 20, 153-159.
14. Ferry, J. & Balachandar, S. 2003 A locally implicit improvement of the equilibrium Eulerianmethod. Intl J. Multiph. Flow 29, 869-891.
15. Gradeck, M., Hoareau, B. & Lebouché, M. 2005 Local analysis of heat transfer inside corrugatedchannel. Intl J. Heat Mass Transfer 48, 1909-1915.
16. Gschwind, P., Regele, A. & Kottke, V. 1995 Sinusoidal wavy channels with Taylor-Goertlervortices. Exp. Thermal Fluid Sci. 11, 270-275.
17. Guzmán, A. M. & Amon, C. H. 1994 Transition to chaos in converging-diverging channel flows: Ruelle-Takens-Newhouse scenario. Phys. Fluids 6 (6), 1994-2002.
18. Guzmán, A. M. & Amon, C. H. 1996 Dynamical flow characterization of transitional and chaoticregimes in converging diverging channels. J. Fluid Mech. 321, 25-57.
19. Hampton, R. E., Mammoli, A. A., Graham, A. L., Tetlow, N. & Altobelli, S. A. 1997 Migration of particles undergoing pressure-driven flow in a circular conduit. J. Rheol. 41, 621-640.
20. Han, M., Kim, C., Kim, M. & Lee, S. 1999 Particle migration in tube flow of suspensions. J. Rheol. 43 (5), 1157-1174.
21. Hertz, H. 1882 Uber die Berührung fester elastische Körper. J. reine Angew. Math. 92, 156-171.
22. Ho, B. P. & Leal, L. G. 1974 Inertial migration of rigid spheres in two-dimensional unidirectionalflows. J. Fluid Mech. 65, 365-400.
23. Huang, L. R., Cox, E. C., Austin, R. H. & Sturm, J. C. 2004 Continuous particle separationthrough deterministic lateral displacement. Science 304, 987-990.
24. Issa, R. 1985 Solution of the implicit discretized fluid flow equations by operator splitting. J. Comput. Phys. 62, 40-65.
25. Joseph, G. G., Zenit, R., Hunt, M. L. & Rosenwinkel, A. M. 2001 Particle-wall collisions in aviscous fluid. J. Fluid Mech. 433, 329-346.
26. Kim, S. K. 2001 An experimental study of developing and fully developed flows in a wavy channelby PIV. KSME Intl J. 15 (12), 1853-1859.
27. Lai, Y. G. 2000 Unstructured grid arbitrarily shaped element method for fluid flow simulation. AIAA J. 38 (12), 2246-2252.
28. Lee, B. S., Kang, I. S. & Lim, H. C. 1999 Chaotic mixing and mass transfer enhancement by pulsatilelaminar flow in an axisymmetric wavy channel. Intl J. Heat Mass Transfer 42, 2571-2581.
29. Leighton, D. & Acrivos, A. 1987 The shear-induced migration of particles in concentratedsuspensions. J. Fluid Mech. 181, 415-439.
30. Mahmud, S., Islam, A. K. M. S. & Mamun, M. A. H. 2002 Separation characteristics of fluid flowinside two parallel plates with wavy surface. Intl J. Engng Sci. 40, 1495-1509.
31. Marshall, J. S. 2006 Effect of shear-induced migration on the expulsion of heavy particles from avortex core. Phys. Fluids 18 (11), 1133011-113301113312
32. Marshall, J. S. 2007 Particle aggregation and capture by walls in a particulate aerosol channelflow. J. Aerosol Sci. 38, 333-351.
33. Marshall, J. S. 2009a Particle clustering in periodically-forced straining flows. J. Fluid Mech. 624, 69-100.
34. Marshall, J. S. 2009b Discrete-element modeling of particulate aerosol flows. J. Comput. Phys. 228, 1541-1561.
35. Nieno, B. & Nobile, E. 2001 Numerical analysis of fluid flow and heat transfer in periodic wavychannels. Intl J. Heat Fluid Flow 22, 156-167.
36. Nishimura, T., Arakawa, S., Murakami, S. & Kawamura, Y. 1989 Oscillatory viscous flow insymmetric wavy-walled channels. Chem. Eng. Sci. 44 (10), 2137-2148.
37. Nishimura, T. & Kawamura, Y. 1995 Three-dimensionality of oscillatory flow in a two-dimensionalsymmetric sinusoidal wavy-walled channel. Exp. Thermal Fluid Sci. 10, 62-73.
38. Nishimura, T., Murakami, S., Arakawa, S. & Kawamura, Y. 1990 Flow observations and masstransfer characteristics in symmetrical wavy-walled channels at moderate Reynolds numbersfor steady flow. Intl J. Heat Mass Transfer 33 (5), 835-845.
39. Ormerod, M. G. 1999 Flow Cytometry. Springer-Verlag.
40. Oviedo-Tolentino, F., Romero-Méndez, R., Hernántez- Guerrero, A. & Girón-Palomares, B. 2008 Experimental study of fluid flow in the entrance of a sinusoidal channel. Intl J. HeatFluid Flow 29, 1233-1239.
41. Putz, R. & Pabst, R. 2000 Sobotta Atlas of Human Anatomy, 13th edn., vol. 2. Lippincott, Williamsand Wilkins.
42. Ralph, M. E. 1986 Oscillatory flows in wavy-walled tubes. J. Fluid Mech. 168, 515-540.
43. Rubinow, S. I. & Keller, J. B. 1961 The transverse force on a spinning sphere moving in a viscousfluid. J. Fluid Mech. 11, 447-459.
44. Rush, T. A., Newell, T. A. & Jacobi, A. M. 1999 An experimental study of flow and heat transferin sinusoidal wavy passages. Intl J. Heat Mass Transfer 42, 1541-1553.
45. Saffman, P. G. 1965 The lift on a small sphere in a slow shear flow. J. Fluid Mech. 22, 385-400.
46. Saffman, P. G. 1968 Corrigendum to 'The lift force on a small sphere in a slow shear flow'. J. Fluid Mech. 31, 624.
47. Sastre, R. R., Csögör, Z., Perner-Nochta, I., Fleck-Schneider, P. & Posten, C. 2007 Scale-down of microalgae cultivations in tubular photo-bioreactors-a conceptual approach. J. Biotechnol. 132, 127-133.
48. Savvides, G. N. & Gerrard, J. H. 1984 Numerical analysis of the flow through a corrugated tubewith the application to arterial prosthesis. J. Fluid Mech. 138, 129-160.
49. Segre, G. & Silberberg, A. 1962 Behavior of macroscopic rigid spheres in Poiseuille flow. Part 2. Experimental results and interpretation. J. Fluid Mech. 14, 136-157.
50. Selvarajan, S., Tulapurkara, E. G. & Ram, V. V. 1999 Stability characteristics of wavy walledchannel flows. Phys. Fluids 11 (3), 579-589.
51. Sobey, I. J. 1980 On flow through furrowed channels. Part 1. Calculated flow patterns. J. Fluid Mech. 96 (1), 1-26.
52. Stephanoff, K. D., Sobey, I. J. & Bellhouse, B. J. 1980 On flow through furrowed channels. Part 2. Observed flow patterns. J. Fluid Mech. 96 (1), 27-32.
53. Tsuji, Y., Tanaka, T. & Ishida, T. 1992 Lagrangian numerical simulation of plug flow of cohesionlessparticles in a horizontal pipe. Powder Technol. 71, 239-250.
54. Usha, R., Senthilkumar, S. & Tulapurkara, E. G. 2005 Stability characteristics of suspensionflow through wavy-walled channels. Acta Mech. 176, 1-26.
55. Vasudeviah, M. & Balamurugan, K. 2001 On forced convective heat transfer for a Stokes flow ina wavy channel. Intl Commun. Heat Mass Transfer 28 (2), 289-297.