Particle motion driven by solute gradients with application to autonomous motion: Continuum and colloidal perspectives

Journal of Fluid Mechanics

Volumn 667, Issue , 2011, Pages 216-259

  Brady, John F ^a  

^a CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

colloids; Stokesian dynamics; suspensions

Indexed keywords

BROWNIAN MOVEMENT; CHEMICAL POTENTIAL; COLLOIDS; DRAG; HYDRODYNAMICS; PARTICLE SIZE ANALYSIS; SOLS;

CHEMICAL POTENTIAL GRADIENT; CONCENTRATION GRADIENTS; DISTRIBUTION OF SOLUTE; HYDRODYNAMIC INTERACTION; HYDRODYNAMIC VELOCITY; MACROSCOPIC HYDRODYNAMICS; SOLUTE CONCENTRATIONS; STOKESIAN DYNAMICS;

SUSPENSIONS (FLUIDS);

BROWNIAN MOTION; COLLOID; CONCENTRATION (COMPOSITION); DRAG; HYDRODYNAMICS; PARTICLE MOTION; SOLUTE; THERMODYNAMICS;

EID: 79951679130     PISSN: 00221120     EISSN: 14697645     Source Type: Journal    
DOI: 10.1017/S0022112010004404     Document Type: Article

References (34)

1. Abecassis, B., Cottin-Bizonne, C., Ybert, C., Ajdari, A. & Bocquet, L. 2008 Boosting migration of large particles by solute contrasts. Nature Mater. 7, 785-789.
2. Anderson, J. L. 1989 Colloidal transport by interfacial forces. Annu. Rev. Fluid Mech. 21, 61-99.
3. Asakura, S. & Oosawa, F. 1954 On the interaction between two bodies immersed in a solution of macromolecules. J. Chem. Phys. 22, 1255-1256.
4. Batchelor, G. K. 1970 Stress system in a suspension of force-free particles. J. Fluid Mech. 41, 545-570.
5. Batchelor, G. K. 1972 Sedimentation in a dilute suspension of spheres. J. Fluid Mech. 752, 245-268.
6. Batchelor, G. K. 1976 Brownian diffusion of particles with hydrodynamic interaction. J. Fluid Mech. 74, 1-29.
7. Batchelor, G. K. 1982 Sedimentation in a dilute polydisperse system of interacting spheres. Part 1. General theory. J. Fluid Mech. 119, 379-408. (Pubitemid 13479498)
8. Batchelor, G. K. 1983 Diffusion in a dilute polydisperse system of interacting spheres. J. Fluid Mech. 131, 155-175. (Pubitemid 13590324)
9. Berne, B. J. & Pecora, R. 1976 Dynamic Light Scattering. Wiley.
10. Bonnecaze, R. T. & Brady, J. F. 1992 Dynamic simulation of an electrorheological fluid. J. Chem. Phys. 96, 2183-2202.
11. Brady, J. F. 1993 Brownian motion, hydrodynamics and the osmotic pressure. J. Chem Phys. 98, 3335-3341.
12. Brady, J. F. & Bossis, G. 1988 Stokesian dynamics. Annu. Rev. Fluid Mech. 20, 111-157.
13. Brady, J. F., Phillips, R. J., Lester, J. C. & Bossis, G. 1988 Dynamic simulation of hydrodynamically interacting suspensions. J. Fluid. Mech. 195, 257-280.
14. Córdova-Figueroa, U. M. 2008 Directed motion of colloidal particles via chemical reactions: Osmotic propulsion. PhD thesis, California Institute of Technology, Pasadena.
15. Córdova-Figueroa, U. M. & Brady, J. F. 2008 Osmotic propulsion: the osmotic motor. Phys. Rev. Lett. 100, 158-303.
16. Ebbens, S. J. & Howse, J. R. 2010 In pursuit of propulsion at the nanoscale. Soft Matt. 6, 726-738.
17. Foss, D. R. & Brady, J. F. 2000 Structure, diffusion and rheology of Brownian suspensions by Stokesian dynamics simulation. J. Fluid Mech. 407, 167-200.
18. Golestanian, R., Liverpool, T. B. & Ajdari, A. 2005 Propulsion of a molecular machine by asymmetric distribution of reaction products. Phys. Rev. Lett. 94, 220801.
19. Golestanian, R., Liverpool, T. B. & Ajdari, A. 2007 Designing phoretic micro-and nano-swimmers. New J. Phys. 9, 126.
20. Hong, Y., Blackman, N. M. K., Kopp, N. D., Sen, A. & Velegol, D. 2007 Chemotaxis of nonbiological colloidal rods. Phys. Rev. Lett. 99, 178103.
21. 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.
22. Ibele, M., Mallouk, T. E. & Sen, A. 2009 Schooling behavior of light-powered autonomous micromotors in water. Angew. Chem. Intl Ed. Engl. 48, 3308-3312.
23. Jülicher, F. & Prost, J. 2009a Comment on 'osmotic propulsion: the osmotic motor'. Phys. Rev. Lett. 103, 079801.
24. Jülicher, F. & Prost, J. 2009b Generic theory of colloidal transport. Eur. Phys. J. E 29, 27-36.
25. Kagan, D., Calvo-Marzal, P., Balasubramanian, S., Sattayasamitsathit, S., Manesh, K. M., Flechsig, G.-U. & Wang, J. 2009 Chemical sensing based on catalytic nanomotors: motion-based detection of trace silver. J. Am. Chem. Soc. 131, 12802-12083.
26. Khair, A. S. & Brady, J. F. 2006 Single particle motion in colloidal dispersions: a simple model for active and nonlinear microrheology. J. Fluid Mech. 557, 73-117. (Pubitemid 44069741)
27. Ladd, A. J. C. 1990 Hydrodynamic transport coefficients of random dispersions of hard spheres. J. Chem. Phys. 93, 3484-3494.
28. Nitsche, J. M. & Batchelor, G. K. 1997 Break-up of a falling drop containing dispersed particles. J. Fluid Mech. 340, 161-175.
29. Paxton, W. F., Kistler, K. C., Olmeda, C. C., Sen, A., St. Angelo, S. K., Cao, Y., Mallouk, T. E., Lammert, P. E. & Crespi, V. H. 2004 Catalytic nanomotors: autonomous movement of striped nanorods. J. Am. Chem. Soc. 126, 13424-13431. (Pubitemid 39382770)
30. Paxton, W. F., Sundararajan, S., Mallouk, T. E. & Sen, A. 2006 Chemical locomotion. Angew. Chem. Intl Ed. Engl. 45, 5420-5429. (Pubitemid 44384319)
31. Russel, W. B., Saville, D. A. & Schowalter, W. R. 1989 Colloidal Dispersions. Cambridge University Press.
32. Squires, T. M. & Brady, J. F. 2005 A simple paradigm for active and nonlinear microrheology. Phys. Fluids 17, 073101.
33. Wang, Y., Fei, S.-T., Byun, Y.-M., Lammert, P. E, Crespi, V. H, Sen, A. & Mallouk, T. E. 2009 Dynamic interactions between fast microscale rotors. J. Am. Chem. Soc. 131, 9926-9927.
34. van der Werff, J. C. & de Kruif, C. G. 1989 Hard-sphere colloidal dispersions: the scaling of rheological properties with particle size, volume fraction and shear rate. J. Rheol. 33, 421-454.