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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.
|Number of pages||5|
|Journal||Journal of Applied Physics|
|Publication status||Published - 22 Jul 2011|
- static undulation
- dielectric liquid
- dielectrophoresis forces
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- 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