The dynamics and rheology of a dilute suspension of hydrodynamically Janus spheres in a linear flow

Journal of Fluid Mechanics

Volumn 633, Issue , 2009, Pages 233-269

  Ramachandran, Arun ^a   Khair, Aditya S ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTICITY; NON NEWTONIAN FLOW; ROTATION; SHEAR FLOW; SPHERES; STICK-SLIP;

DILUTE SUSPENSIONS; EQUILIBRIUM ORIENTATIONS; INITIAL ORIENTATION; NORMAL STRESS DIFFERENCE; ROTATIONAL MOTION; SIMPLE SHEAR FLOW; SPHERICAL PARTICLE; SUSPENSION RHEOLOGY;

SUSPENSIONS (FLUIDS);

COMPRESSIBLE FLOW; HYDRODYNAMICS; NON-NEWTONIAN FLUID; PARTICLE MOTION; RHEOLOGY; SHEAR FLOW; STRESS; THEORETICAL STUDY;

EID: 69749105426     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112009007472     Document Type: Article

References (47)

1. BASSET, A. B. 1961 A Treatise on Hydrodynamics. Dover.
2. BATCHELOR, G. K. 1970 Stress system in a suspension of force-free particles. J. Fluid Mech. 41, 545-570.
3. BATCHELOR, G. K. 1973 An Introduction to Fluid Dynamics. Cambridge University Press.
4. BEHREND, C. J., ANKER, J. N., MCNAUGHTON, B. H., & KOPELMAN, R. 2005 Microrheology with modulated optical nanoprobes (MOONs). J. Magn. Magn. Mater. 293, 663-670.
5. BEITEL, A. & HEIDEGER, J. W. 1971 Surfactant effects on mass transfer from drops subject to interfacial instability. Chem. Engng Sci. 26, 711-717.
6. BOEHNKE, U. C., REMMLER, T., MOTSCHMANN, H., WURLITZER, S., HAUWEDE, J. & FISCHER, TH. M. 1999 Partial air wetting on solvophobic surfaces in polar liquids. J. Colloid Interface Sci. 211, 243-251.
7. BRETHERTON, F. P. 1962 The motion of rigid particles in a shear flow at low Reynolds number. J. Fluid Mech. 14, 284-304.
8. CASAGRANDE, C., FABRE, P., RAPHAEL, E. & VEYSSIE, M. 1989 Janus beads: Realization and behaviour at water/oil interfaces. Europhys. Lett. 9 (3), 251-255.
9. CAYRE, O., PAUNOV, V. N. & VELEV, O. D. 2003 Fabrication of asymmetrically coated colloid particles by microcontact printing techniques. J. Mat. Chem. 13 (10), 2445-2450.
10. CHENG, J. T. & GIORDANO, N. 2002 Fluid flow through nanometre-scale channels. Phys. Rev. E 65, 031206.
11. CHOI, C.-H., WESTIN, K. JOHAN A. & BREUER K. S. 2003 Apparent slip flows in hydrophilic and hydrophobic microchannels. Phys. Fluids 15 (10), 2897-2902.
12. DE GENNES, P. G. 1992 Soft Matter. Rev. Mod. Phys. 64, 645-648.
13. DIETRICH, C., BAGATOLLI, L. A., VOLOVYK, Z. N., THOMPSON, N. L., LEVI, M., JACOBSON, S. K. & GRATTON, E. 2001 Lipid rafts reconstituted in model membranes. Biophys. J. 80, 1417-1428.
14. DORREPAAL, J. M. 1978 The Stokes resistance of a spherical cap to translational and rotational motions in a linear shear flow. J. Fluid Mech. 84, 265-279.
15. EINSTEIN, A. 1906 A new determination of molecular dimensions. Ann. Phys. 19, 289-306.
16. ERICKSEN, J. L. 1959 Anisotropic fluids. Arc. Rat. Mech. Anal. 4, 231-237.
17. GANGWAL, S., CAYRE, O. J., BAZANT, M. Z. & VELEV, O. D. 2008 Induced-charge electropboresis of metallodielectric particles. Phys. Rev. Lett. 100, 058302.
18. GLASER, N., ADAMS, D. J., BOKER, A. & KRAUSCH, G. 2006 Janus particles and liquid-liquid interfaces. Langmuir 22, 5227-5229.
19. GLOTZER, S. C. & SOLOMON, M. J. 2007 Anisotropy of building blocks and their assembly into complex structures. Nat. Mater. 6, 557-562.
20. HAPPEL, J. & BRENNER, H. 1965 Low Reynolds Number Hydrodynamics Prentice-Hall.
21. HINCH, E. J. & LEAL, L. G. 1972 The effect of Brownian motion on the rheological properties of a suspension of non-spherical particles. J. Fluid Mech. 52 (4), 683-712.
22. HONG, L., JIANG, S. & GRANICK, S. 2006 Simple method to produce Janus colloidal particles in large quantity. Langmuir 22 (23), 9459-9499.
23. HOWSE, J. R., JONES, R. A. L., RYAN, A, J., GOUGH, T., VAFABAKHSH, R. & GOLESTANIAN, R. 2007 Self-motile colloidal particles: From directed propulsion to random walk. Phys. Rev. Lett. 99, 048102.
24. KIM, S. & KARRILA, S. J. 2005 Microhydrodynamics: Principles and Selected Applications. Dover.
25. KORLACH, J., SCHWILLE, P., WEBB, W. & FEIGENSON, G. 1999 Characterization of lipid bilayer phases by confocal microscopy and fluorescence correlation spectroscopy. Proc. Natl. Acad. Sci. 96, 8461-8466.
26. LAMB, H. 1932 Hydrodynamics. Dover.
27. LAUGA, E., BRENNER, M. P. & STONE, H. A. 2007 Microfluidics: The no-slip boundary condition. In Handbook of Experimental Fluid Dynamics (ed. C. Tropea, A. Yarin & J. F. Foss), pp. 1219-1240. Springer.
28. LAUGA, E. & STONE, H. A. 2003 Effective slip in pressure-driven Stokes flow. J. Fluid Mech. 489, 55-77.
29. LEAL, L. G. 2007 Advanced Transport Phenomena. Cambridge University Press.
30. NAVIER, C. L. M. H. 1823 Mémoire sur le lois du mouvement des fluides. Mémoires de l'Academie Royale des Sciences de l'Instituit de France IV, 389-440.
31. NIE, Z., LI, W., SEO, M., XU, S. & KUMACHEVA, E. 2006 Janus and Ternary particles generated by microfluidic synthesis: Design, synthesis and self-assembly. J. Am. Chem. Soc. 128 (29), 9408-9412.
32. NIR, A. & ACRIVOS, A. 1973 On the creeping motion of two arbitrary-sized touching spheres in a linear shear field. J. Fluid Mech. 59, 209-223.
33. NISISAKO, T., TORII, T., TAKAHASHI, T. & TAKIZAWA, Y. 2006 Synthesis of monodisperese bicolored Janus particles with electrical anisotropy using a microfluidic co-flow system. Adv. Mater. 18 1152-1156.
34. PERRO, A., RECULUSA, S., RAVAINE, S., BOURGEAT-LAMI, E. B. & DUGUET, E. 2005 Design and synthesis of Janus micro- and nanoparticles. J. Mat. Chem. 15, 3745-3760.
35. PHILIP, J. R. 1972a Flows satisfying mixed no-slip and no-shear conditions. Z. Agnew. Math. Phys. 23, 353-370.
36. PHILIP, J. R. 1972b Integral properties of flows satisfying mixed no-slip and no-shear conditions. Z. Agnew. Math. Phys. 23 960-968.
37. PRIEZJEV, N. V., DARHUBER, A. A. & TROIANS, S. M. 2005 Slip behaviour in liquid films on surfaces of patterned wettability: comparison between continuum and molecular dynamics simulations. Phys. Rev. E 71, 041608.
38. ROH, K., MARTIN, D. C. & LAHANN, J. 2005 Biphasic Janus particles with nanoscale anisotropy. Nat. Mater. 4, 759-763.
39. SADHAL, S. S. & JOHNSON, R. E. 1983 Stokes flow past bubbles and drops partially coated with thin films. Part 1. Stagnant cap of surfactant film - exact solution. J. Fluid Mech. 126, 237-250.
40. SQUIRES, T. M. & BAZANT, M. Z. 2006 Breaking symmetries in induced-charge electro-osmosis and electrophoresis. J. Fluid Mech. 560, 65-101.
41. SWAN, J. W. & KHAIR, A. S. 2008 On the hydrodynamics of "slip-stick" spheres. J. Fluid Mech. 606, 115-132.
42. TAKEI, H. & SHIMIZU, N. 1997 Gradient sensitive microscopic probes prepared by gold evaporation and chemisorption on latex spheres. Langmuir 13 (7), 1865-1868.
43. TAYLOR, G. I. 1971 A model for the boundary condition of a porous material. Part 1. J. Fluid Mech. 49, 319-326.
44. THOMPSON, P. A. & TROIAN, S. M. 1997 A general boundary condition for liquid flow at solid surfaces. Nature 389, 360-362.
45. TYRRELL, J. W. G. & ATTARD, P. 2001 Images of nanobubbles on hydrophobic surface and their interactions. Phys. Rev. Lett. 87 (17), 176104.
46. VELEV, O. D., LENHOFF, A. M. & KALER, E. W. 2000 A class of microstructured particles through colloidal crystallization. Science 287, 2240-2243.
47. WALTHER, A. & MULLER, A. H. E. 2008 Janus particles. Soft Matter 4, 663-668.