2013
DOI: 10.1088/0953-8984/25/19/192101
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The order of condensation in capillary grooves

Abstract: We consider capillary condensation in a deep groove of width L. The transition occurs at a pressure p(co)(L) described, for large widths, by the Kelvin equation p(sat) - p(co)(L) = 2σ cosθ/L, where θ is the contact angle at the side walls and σ is the surface tension. The order of the transition is determined by the contact angle of the capped end θcap; it is continuous if the liquid completely wets the cap, and first-order otherwise. When the transition is first-order, corner menisci at the bottom of the capi… Show more

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Cited by 20 publications
(48 citation statements)
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“…The predicted asymptote (29), shown as the dashed line, is in very good agreement with our numerical computations. The divergence of Γ pln (µ) means that the prewetting transition occurring at µ In what follows, we consider two more examples of this transition occurring in different geometries.…”
Section: Heterogeneous Planar Wallsupporting
confidence: 85%
See 1 more Smart Citation
“…The predicted asymptote (29), shown as the dashed line, is in very good agreement with our numerical computations. The divergence of Γ pln (µ) means that the prewetting transition occurring at µ In what follows, we consider two more examples of this transition occurring in different geometries.…”
Section: Heterogeneous Planar Wallsupporting
confidence: 85%
“…The possibility of such transitions was speculated upon first by Hauge in his treatment of wedge wetting [41], and later independently by Saam for a substrate with a step [42]. In the present work we study these transitions for the first time using microscopic density functional theory, and show that they may also occur in a capillary groove, where continuous prewetting competes with continuous capillary-condensation [17,29].…”
mentioning
confidence: 56%
“…Such phenomenology of capped capillaries is clearly analogous to wetting of planar walls. A recent study by Rascon et al 22 has explored the effect of the wetting properties of the capping wall on the order of condensation at T cw . Using an effective Hamiltonian approach, the authors have revealed that T cw is related to the Young contact angle of the capping wall considered on its own.…”
Section: -2mentioning
confidence: 99%
“…For example, the adsorption of capillary liquid slab on the capping wall of the capillary and the adsorption of liquid film on an infinite planar wall are related phenomena. 22 What is then the effect of the pore width? To what extent can one consider the value of T w to be an approximation to T cw ?…”
Section: -2mentioning
confidence: 99%
“…As already mentioned, our present study neglects the fluctuations of the fluid density along the z-axis, because such an investigation requires a non-classical approach such as, e.g., that used in [24], and is beyond what DFT can offer at the moment. The capillary wave-like fluctuations of the interfaces along the z-axis are likely to affect the transitions discussed here, especially near their respective critical points.…”
Section: Discussionmentioning
confidence: 99%