Total Ponderomotive Force on an Extended Test Body
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...
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| Language: | English |
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Hindawi Limited
2009-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2009/232768 |
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doaj-779b0502f33a449f974dec62d0ad3a5a2020-11-24T22:17:05ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252009-01-01200910.1155/2009/232768232768Total Ponderomotive Force on an Extended Test BodyD. Langemann0Institute of Computational Mathematics, Technical University of Braunschweig, Pockelsstr. 14, 38106 Braunschweig, GermanyDroplets 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.http://dx.doi.org/10.1155/2009/232768 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
D. Langemann |
| spellingShingle |
D. Langemann Total Ponderomotive Force on an Extended Test Body International Journal of Mathematics and Mathematical Sciences |
| author_facet |
D. Langemann |
| author_sort |
D. Langemann |
| title |
Total Ponderomotive Force on an Extended Test Body |
| title_short |
Total Ponderomotive Force on an Extended Test Body |
| title_full |
Total Ponderomotive Force on an Extended Test Body |
| title_fullStr |
Total Ponderomotive Force on an Extended Test Body |
| title_full_unstemmed |
Total Ponderomotive Force on an Extended Test Body |
| title_sort |
total ponderomotive force on an extended test body |
| publisher |
Hindawi Limited |
| series |
International Journal of Mathematics and Mathematical Sciences |
| issn |
0161-1712 1687-0425 |
| publishDate |
2009-01-01 |
| description |
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. |
| url |
http://dx.doi.org/10.1155/2009/232768 |
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AT dlangemann totalponderomotiveforceonanextendedtestbody |
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