Projects per year

### 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.

Original language | English |
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Article number | 024107 |

Pages (from-to) | 1-5 |

Number of pages | 5 |

Journal | Journal of Applied Physics |

Volume | 110 |

Issue number | 2 |

DOIs | |

Publication status | Published - 22 Jul 2011 |

### Keywords

- static undulation
- dielectric liquid
- dielectrophoresis forces

## Projects

- 1 Finished

## ADAPTIVE NUMERICAL METHODS FOR OPTOELECTRONIC DEVICES PFACT 69

Ainsworth, M., Mottram, N. & Ramage, A.

EPSRC (Engineering and Physical Sciences Research Council)

2/04/07 → 30/11/10

Project: Research

## Cite this

Mottram, N., Brown, C., & McHale, G. (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), 1-5. [024107]. https://doi.org/10.1063/1.3606435