Abstract
The decay of electrostatic charge within a conducting vessel partially
filled with charged powder is influenced by the geometry of the vessel
and the fill level within. As it decays, some of the volume charge
temporarily accumulates at the surface of the powder heap. This surface
charge is capacitively coupled to the conducting vessel walls and,
therefore, its (extrinsic) rate of decay is always slower than the
(intrinsic) relaxation rate of the volume charge. If the percent
fill is close to 100\%, the decay rate can be significantly prolonged.
To exemplify this geometry-dependent behavior, a transient solution
to Poisson's equation is obtained for the case of a grounded cylindrical
tank partially filled with charged powder under the assumption that
the uniform initial volume charge decays according to an exponential
charge relaxation law. The dominant (extrinsic) time constant which
governs decay of the surface charge is identified and its dependence
upon the vessel geometry and the percent fill is studied. Because
of the lingering presence of surface charge, the electric fields
near the powder/air boundary can remain at hazardous levels for an
extended period of time. The practical implication of these results
is that the probability of electrostatic discharge during and after
filling operations is increased.
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