Total Ponderomotive Force on an Extended Test Body | Zendy

Dirk Langemann | Zendy

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Total Ponderomotive Force on an Extended Test Body

Author(s) -

Dirk Langemann

Publication year - 2009

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/2009/232768

Subject(s) - fourier series , series (stratigraphy) , mathematics , electric field , convergence (economics) , mathematical analysis , body force , force field (fiction) , fredholm integral equation , classical mechanics , physics , integral equation , quantum mechanics , paleontology , economics , biology , economic growth

Droplets on insulating material suffer a nonvanishing total ponderomotive force because of the inhomogeneity of the surrounding electric field. A series expansion of this total force is proven in a two-dimensional setting by determining the line charge density at the boundary of the test body via a Fredholm integral equation, which is solved by Fourier techniques. The influence of electric charges in the neighborhood of the test body can be estimated as well as the convergence speed of the series expansion. In all realistic applications the series converges very fast. The numerical effort in the simulation of the motion of rainwater droplets on outdoor insulators reduces considerably

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