Abstract
Approximate analytical solutions for the relaxation of electrostatic
charge in a lined cylindrical vessel containing charged powder or
liquid are obtained. The transient solutions are for two distinct
configurations of vessels with partial linings: T/B, where the dielectric
lining is only on the top and the bottom inside conducting walls;
and C, where the cylindrical side walls are lined. The results show
that a significant fraction of the initial charge contained by the
vessel can accumulate at the surface of the lining. If the liner
is thin, this surface charge relaxes very slowly according to an
extrinsic characteristic time dependent upon the geometry of the
vessel and the capacitance per unit area of the liner. No solution
for the case of a fully lined vessel is offered, but means to estimate
the extrinsic time constant and the maximum surface potential on
the liner are given. These approximations are useful in assessing
the influence of liners on the electrostatic discharge ignition hazards
associated with lined vessels and pipes.
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