Streaming potential generated by a small charged drop in Poiseuille flow

Physics of Fluids

Volumn 21, Issue 1, 2009, Pages

  Sherwood, J D ^a  

^a SCHLUMBERGER CAMBRIDGE RESEARCH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTROPHORESIS; MEMBRANES; SPHERES; VISCOSITY;

CAPILLARY RADIUS; DOUBLE LAYERS; ELECTRICAL POTENTIAL; POISEUILLE FLOW; RIGID PARTICLES; SPHERICAL DROPS; STREAMING POTENTIAL; WATER DROPLETS;

DROPS;

EID: 59649087007     PISSN: 10706631     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3054147     Document Type: Article

References (32)

1. F. D. Morgan, E. R. Williams, and T. R. Madden, "Streaming potential properties of westerly granite with applications," J. Geophys. Res. JGREA20148-022710.1029/JB094iB09p12449 94, 12449, DOI: 10.1029/JB094iB09p12449 (1989).
2. P. Antraygues and M. Aubert, "Self potential generated by two-phase flow in a porous medium: Experimental study and volcanological applications," J. Geophys. Res. JGREA20148-022710.1029/93JB02395 98, 22273, DOI: 10.1029/93JB02395 (1993).
3. E. S. Sprunt, T. B. Mercer, and N. F. Djabbarah, "Streaming potential from multiphase flow," Geophysics GPYSA70016-803310.1190/ 1.1443628 59, 707 (1994).
4. X. Guichet, L. Jouniaux, and J.-P. Pozzi, "Streaming potential of a sand column in partial saturation conditions," J. Geophys. Res. JGREA20148-022710.1029/2001JB001517 B108, 2141, DOI: 10.1029/ 2001JB001517 (2003).
5. A. Revil and A. Cerepi, "Streaming potentials in two-phase flow conditions," Geophys. Res. Lett. GPRLAJ0094-827610.1029/ 2004GL020140 31, L11605, DOI: 10.1029/2004GL020140 (2004).
6. B. Wurmstich and F. D. Morgan, "Modeling of streaming potential responses caused by oil well pumping," Geophysics GPYSA70016-803310.1190/1.1443533 59, 46 (1994).
7. A. Revil, H. Schwaeger, L. M. Cathles III, and P. D. Manhardt, "Streaming potential in porous media 2. Theory and application to geothermal systems," J. Geophys. Res. JGREA20148-022710.1029/ 1999JB900090 104, 20033, DOI: 10.1029/1999JB900090 (1999).
8. J. H. Saunders, M. D. Jackson, and C. C. Pain, "A new numerical model of electrokinetic potential response during hydrocarbon recovery," Geophys. Res. Lett. GPRLAJ0094-827610.1029/2006GL026835 33, L15316, DOI: 10.1029/2006GL026835 (2006).
9. J. D. Sherwood, "Streaming potential generated by two-phase flow in a capillary," Phys. Fluids PHFLE61070-663110.1063/1.2717847 19, 053101 (2007).
10. J. D. Sherwood, "Streaming potential generated by a long viscous drop in a capillary," Langmuir LANGD50743-746310.1021/la801175n 24, 10011 (2008).
11. S. Levine and R. N. O'Brien, "A theory of electrophoresis of charged mercury drops in aqueous electrolyte solution," J. Colloid Interface Sci. JCISA50021-979710.1016/0021-9797(73)90409-8 43, 616 (1973).
12. H. Ohshima, T. W. Healy, and L. R. White, "Electrokinetic phenomena in a dilute suspension of charged mercury drops," J. Chem. Soc., Faraday Trans. 2 JCFTBS0300-923810.1039/f29848001643 80, 1643 (1984).
13. J. C. Baygents and D. A. Saville, "Electrophoresis of drops and bubbles," J. Chem. Soc., Faraday Trans. JCFTEV0956-500010.1039/ ft9918701883 87, 1883 (1991).
14. J. J. L. Higdon and G. P. Muldowney, "Resistance functions for spherical particles, droplets and bubbles in cylindrical tubes," J. Fluid Mech. JFLSA70022-112010.1017/S0022112095003272 298, 193 (1995).
15. B. H. Yang, J. Wang, D. D. Joseph, H. H. Hu, T.-W. Pan, and R. Glowinski, "Migration of a sphere in tube flow," J. Fluid Mech. JFLSA70022-112010.1017/S0022112005005677 540, 109 (2005).
16. G. Hetsroni, S. Haber, and E. Wacholder, "The flow fields in and around a droplet moving axially in a tube," J. Fluid Mech. JFLSA70022-112010.1017/S0022112070000848 41, 689 (1970).
17. R. Simha, "Untersuchungen über die Viskosität von Suspensionen und Lösungen," Kolloid-Z. KOZEA70368-659010.1007/ BF01432457 76, 16 (1936).
18. H. Brenner and J. Happel, "Slow viscous flow past a sphere in a cylindrical tube," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112058000392 4, 195 (1958).
19. J. Happel and H. Brenner, Low Reynolds Number Hydrodynamics, 2nd ed. (Kluwer, Dordrecht, 1973).
20. D. C. Prieve, J. D. Hoggard, R. Fu, P. J. Sides, and R. Bethea, "Two independent measurements of Debye lengths in doped nonpolar liquids," Langmuir LANGD50743-746310.1021/la702351e 24, 1120 (2008).
21. I. D. Morrison, "Electrical charges in nonaqueous media," Colloids Surf., A CPEAEH0927-775710.1016/0927-7757(93)80026-B 71, 1 (1993).
22. R. W. O'Brien and L. R. White, "Electrophoretic mobility of a spherical colloidal particle," J. Chem. Soc., Faraday Trans. 2 JCFTBS0300-923810.1039/f29787401607 74, 1607 (1978).
23. H. Brenner, "Pressure drop due to the motion of neutrally buoyant particles in duct flows. II. Spherical droplets and bubbles," Ind. Eng. Chem. Fundam. IECFA70196-431310.1021/i160040a001 10, 537 (1971).
24. B. V. Derjaguin and S. S. Dukhin, "Nonequilibrium double layer and electrokinetic phenomena," Surface and Colloid Science, edited by E. Matijević (Wiley, New York, 1974), Vol. 7, Chap. 3, pp. 273-335.
25. S. S. Dukhin and V. N. Shilov, Dielectric Phenomena and the Double Layer in Disperse Systems and Polyelectrolytes (Wiley, New York, 1974).
26. M. Fixman, "Charged macromolecules in external fields. I. The sphere," J. Chem. Phys. JCPSA60021-960610.1063/1.439753 72, 5177 (1980).
27. E. J. Hinch, J. D. Sherwood, W. C. Chew, and P. Sen, "Dielectric response of a dilute suspension of spheres with thin double layers in an asymmetric electrolyte," J. Chem. Soc., Faraday Trans. 2 JCFTBS0300-923810.1039/f29848000535 80, 535 (1984).
28. E. J. Hinch and J. D. Sherwood, "The primary electroviscous effect in a suspension of spheres with thin double layers," J. Fluid Mech. JFLSA70022-112010.1017/S0022112083001640 132, 337 (1983).
29. J. D. Sherwood, "The primary electroviscous effect in a suspension of spheres," J. Fluid Mech. JFLSA70022-112010.1017/ S0022112080001826 101, 609 (1980).
30. G. I. Taylor, "The viscosity of a fluid containing small drops of another fluid," Proc. R. Soc. London, Ser. A PRLAAZ0950-120710.1098/ rspa.1932.0169 138, 41 (1932).
31. J. C. Maxwell, Electricity and Magnetism, 1st ed. (Clarendon, Oxford, 1873), p. 365.
32. S. P. Meeker, R. T. Bonnecaze, and M. Cloitre, "Slip and flow in pastes of soft particles: Direct observation and rheology," J. Rheol. JORHD20148-605510.1122/1.1795171 48, 1295 (2004).