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A boundary element method analysis of electrostatics in a tank during filling operations
Author(s) -
SidiYekhlef A.,
Sunderland J. E.
Publication year - 1989
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620280206
Subject(s) - dimensionless quantity , debye length , poisson's equation , debye–hückel equation , boundary element method , charge (physics) , charge density , electrostatics , debye , boundary (topology) , mechanics , boundary value problem , péclet number , finite element method , physics , mathematics , mathematical analysis , thermodynamics , condensed matter physics , plasma , quantum mechanics , electrode , electrolyte
Electrostatic charging inside a tank is analysed numerically using the boundary integral method. The electrostatic charge is transmitted to the tank through a charged liquid. Profiles for the charge density and potential are obtained in the tank during the filling operation. The analysis is based on the equation governing the transport of charge and Poisson's equation. The results are characterized by two dimensionless parameters, the dimensionless Debye length given by the Debye length divided by the height of the tank, and the number Pe defined as a Peclet number. The results show where the maximum charge density and potential occur and give a prediction of when during the filling operation a hazardous situation may occur.