Streaming potential generated by a long viscous drop in a capillary

Langmuir : the ACS Journal of Surfaces and Colloids
J D Sherwood

Abstract

The streaming potential generated by motion of a long drop of viscosity mu(d) = lambdamu in a uniform circular capillary filled with fluid of viscosity mu is investigated by means of a model previously used to study electrophoresis of a charged mercury drop in water. The capillary wall is at potential zeta c relative to the bulk fluid within it, and the surface of the drop is at potential zeta(d). Potentials are assumed to be sufficiently small so that the charge cloud is described by the linearized Poisson-Boltzmann equation, and the Debye length characterizing the thickness of the charge cloud is assumed to be thin compared with the gap h(0) between the drop and the capillary wall. Ions in the external fluid are not allowed to discharge at the surface of the drop, and the wall of the capillary has a nonzero surface conductivity sigma c. The drop is assumed to be sufficiently long so that end effects can be neglected. Recirculation of fluid within the drop gives rise to an enhanced streaming current when zeta(d) is nonzero, leading to an anomalously high streaming potential. This vanishes as the drop viscosity becomes large. If V is the velocity of the drop and gamma is the coefficient of interfacial tension between the two fl...Continue Reading

References

Sep 7, 2005·Langmuir : the ACS Journal of Surfaces and Colloids·Alejandro MagualJacob H Masliyah
Jan 18, 2006·Journal of Colloid and Interface Science·Saad F AlkafeefAbdullah F Alajmi
Jan 18, 2008·Langmuir : the ACS Journal of Surfaces and Colloids·D C PrieveR Bethea

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Citations

Oct 21, 2011·Lab on a Chip·Yanbo XieJan C T Eijkel
Jun 18, 2010·Journal of Colloid and Interface Science·J D Sherwood, Etienne Lac
Dec 17, 2016·Electrophoresis·Aditya BandopadhyaySuman Chakraborty
May 5, 2020·Nanotechnology·Kiran PrakashSarith P Sathian
Dec 18, 2013·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Tanmay GhongeSuman Chakraborty

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