Abstract
A specialised Lagrangian formulation is here recommended to describe the main performances of unipolar ion flows driven by partial discharges. The subject fits into a number of electrostatic applications also governed by fluid-dynamic laws, which is why it needs careful examination by a solid and comprehensive approach. A reasoned selection of referential case studies are proposed in order to better appreciate the value of this predictive framework. The interdisciplinary character of the general problem under examination makes the role of the Lagrangian approach pivotal for the physical interpretation of theoretical results. These are given by resolving the Euler-Lagrange differential equation associated to individual examples.
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