### Abstract

Language | English |
---|---|

Article number | 024107 |

Pages | 1-5 |

Number of pages | 5 |

Journal | Journal of Applied Physics |

Volume | 110 |

Issue number | 2 |

DOIs | |

Publication status | Published - 22 Jul 2011 |

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### Keywords

- static undulation
- dielectric liquid
- dielectrophoresis forces

### Cite this

*Journal of Applied Physics*,

*110*(2), 1-5. [024107]. https://doi.org/10.1063/1.3606435

}

*Journal of Applied Physics*, vol. 110, no. 2, 024107, pp. 1-5. https://doi.org/10.1063/1.3606435

**Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces.** / Mottram, Nigel; Brown, Carl; McHale, Glen.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces

AU - Mottram, Nigel

AU - Brown, Carl

AU - McHale, Glen

PY - 2011/7/22

Y1 - 2011/7/22

N2 - 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.

AB - 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.

KW - static undulation

KW - dielectric liquid

KW - dielectrophoresis forces

UR - http://www.scopus.com/inward/record.url?scp=79961110032&partnerID=8YFLogxK

U2 - 10.1063/1.3606435

DO - 10.1063/1.3606435

M3 - Article

VL - 110

SP - 1

EP - 5

JO - Journal of Applied Physics

T2 - Journal of Applied Physics

JF - Journal of Applied Physics

SN - 0021-8979

IS - 2

M1 - 024107

ER -