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Of liquid of the obtained meniscus equal to V . Thanks to this double iterative scheme, the meniscus shape and the pressure drop ∆p can be known. 52. It is interesting to note that in the case of a 2D configuration (different from the 2D axial symmetry), the curvature along the “extruding” direction perpendicular to the plane of this page is null. , a 2D curve of constant curvature is the definition of a circle). The above-mentioned initial and boundary conditions can then be used to find the circle parameters (center coordinates and radius).

Its location is defined by the distance7 D between its apex A and the plane. Let us assume a volume of liquid V wetting the plane with a contact angle θ1 and the prism with a contact angle θ2 . 74) where x = dx/dz. Assuming a vanishing Bond number, the hydrostatic pressure inside the meniscus is neglected by comparison to the Laplace pressure difference ∆p, which is therefore constant in all the meniscus. Therefore, the second term of Eq. 74 is constant, and this equation can be integrated twice with respect to z in order to find the relation x = x(z), with two integration constants and the undefined pressure difference ∆p.

The Lifshitz method, also called macroscopic approach, consists in considering the two interacting objects as continuous media with a dielectric response to electromagnetic fields. The dispersion forces are then considered the mutual interaction of dipoles oscillating at a given frequency. When the separation distance becomes bigger than a cut-off length depending on this frequency and the light speed, the attraction tends to decrease because the propagation time becomes of the same order as the oscillation period of the dipoles, the field emitted by one dipole interacting with another dipole with a different phase.