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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
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Dive into the research topics of 'Analysis of a static undulation on the surface of a thin dielectric liquid layer formed by dielectrophoresis forces'. Together they form a unique fingerprint.Projects
- 1 Finished
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ADAPTIVE NUMERICAL METHODS FOR OPTOELECTRONIC DEVICES PFACT 69
Ainsworth, M. (Principal Investigator), Mottram, N. (Co-investigator) & Ramage, A. (Co-investigator)
EPSRC (Engineering and Physical Sciences Research Council)
2/04/07 → 30/11/10
Project: Research