# Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces

Mottram, Nigel and Brown, Carl and McHale, Glen
(2011)
*Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces.*
Journal of Applied Physics, 110 (2).
pp. 1-5.
ISSN 0021-8979

## Abstract

A layer of insulating liquid of dielectric constant epsilon(Oil) and average thickness (h) over bar coats a flat surface at y = 0 at which a one-dimensional sinusoidal potential V(x, 0) = V(O) cos(pi x/p) is applied. Dielectrophoresis forces create a static undulation (or "wrinkle") distortion h(x) of period p at the liquid/air interface. Analytical expressions have been derived for the electrostatic energy and the interfacial energy associated with the surface undulation when h(x) = (h) over bar - (1/2)A cos(2 pi x/p) yielding a scaling relationship for A as a function of (h) over bar, p, V(O), epsilon(Oil) and the surface tension. The analysis is valid as A/p -> 0, and in this limit convergence with numerical simulation of the system is shown.

Item type: | Article |
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ID code: | 37264 |

Keywords: | static undulation , dielectric liquid , dielectrophoresis forces, Mathematics, Physics, Physics and Astronomy(all) |

Subjects: | Science > Mathematics Science > Physics |

Department: | Faculty of Science > Mathematics and Statistics |

Depositing user: | Pure Administrator |

Date Deposited: | 01 Feb 2012 05:31 |

Last modified: | 27 Apr 2016 18:10 |

Related URLs: | |

URI: | http://strathprints.strath.ac.uk/id/eprint/37264 |