There is another expression of this number that is valid when the surface conductivity is associated only with ions motion above the slipping plane in the double layer.
12.
The Dukhin number is a dimensionless parameter that characterizes the contribution of the surface conductivity to a variety of electrokinetic phenomena, such as, electrophoresis and electroacoustic phenomena.
13.
In addition to this the ground penetration varies, becoming greater at lower frequencies, and this means that it is not just the surface conductivity that is of interest.
14.
The Dukhin number is a ratio of the surface conductivity \ kappa ^ { \ sigma } to the fluid bulk electrical conductivity K m multiplied by particle size " a ":
15.
In this case, the value of the surface conductivity depends on ?-potential, which leads to the following expression for the Dukhin number for symmetrical electrolyte with equal ions diffusion coefficient:
16.
Assuming that the skin depth of the metal being used in the grids is much smaller than the thickness of the grid, the real part of the surface conductivity of the metal and \ delta is the skin depth of the metal.
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