Carl McBride: Created page with "'''Henry's function''' (related to electrophoretic mobility)[http://dx.doi.org/10.1098/rspa.1931.0133 D. C. Henry "The Cataphoresis of Suspended Particles. Part I. The Eq..."

2014-03-28T15:10:39Z

Created page with "'''Henry's function''' (related to electrophoretic mobility)<ref>[http://dx.doi.org/10.1098/rspa.1931.0133 D. C. Henry "The Cataphoresis of Suspended Particles. Part I. The Eq..."

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'''Henry's function''' (related to electrophoretic mobility)<ref>[http://dx.doi.org/10.1098/rspa.1931.0133 D. C. Henry "The Cataphoresis of Suspended Particles. Part I. The Equation of Cataphoresis", Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences '''133''' pp. 106-129 (1931)]</ref> is given by (Eq. 2 in <ref>[http://dx.doi.org/10.1016/j.jcis.2012.08.026 James W. Swan and Eric M. Furst "A simpler expression for Henry’s function describing the electrophoretic mobility of spherical colloids", Journal of Colloid and Interface Science '''388''' pp. 92-94 (2012)]</ref>):

:<math>f(\kappa a)= 1 + \frac{1}{16}(\kappa a)^2 - \frac{5}{48}(\kappa a)^3 -\frac{1}{8}(\kappa a)^4 \left[ \frac{1}{12}(1-\kappa a ) - \left( 1 - \frac{1}{12}(\kappa a)^2 \right) e^{\kappa a} E_1(\kappa a )\right]</math>

where <math>a</math> is the radius of the particle, <math>\kappa </math> is the [[Debye length]]
and <math>E_1(\kappa a )</math> is the first order exponential integral.

==References==
<references/>
[[category: electrostatics]]

Henry's function - Revision history

Carl McBride: Created page with "'''Henry's function''' (related to electrophoretic mobility)[http://dx.doi.org/10.1098/rspa.1931.0133 D. C. Henry "The Cataphoresis of Suspended Particles. Part I. The Eq..."