Imperial College London

ProfessorAndrewParry

Faculty of Natural SciencesDepartment of Mathematics

Deputy Head of Department/Professor of Statistical Physics
 
 
 
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Contact

 

+44 (0)20 7594 8537a.o.parry Website

 
 
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Location

 

6M15Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{malijevsky:2017:10.1103/PhysRevE.96.020801,
author = {malijevsky, A and Parry, AO and Pospisil, M},
doi = {10.1103/PhysRevE.96.020801},
journal = {Physical Review E},
title = {Edge contact angle and modified Kelvin equation for condensation in open pores},
url = {http://dx.doi.org/10.1103/PhysRevE.96.020801},
volume = {96},
year = {2017}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We consider capillary condensation transitions occurring in open slits of width L and finite height Himmersed in a reservoir of vapor. In this case the pressure at which condensation occurs is closer to saturation compared to that occurring in an infinite slit (H=∞) due to the presence of two menisci that are pinned near the open ends. Using macroscopic arguments, we derive a modified Kelvin equation for the pressure pcc(L;H) at which condensation occurs and show that the two menisci are characterized by an edge contact angle θe that is always larger than the equilibrium contact angle θ, only equal to it in the limit of macroscopic H. For walls that are completely wet (θ=0) the edge contact angle depends only on the aspect ratio of the capillary and is well described by θe≈√πL/2H for large H. Similar results apply for condensation in cylindrical pores of finite length. We test these predictions against numerical results obtained using a microscopic density-functional model where the presence of an edge contact angle characterizing the shape of the menisci is clearly visible from the density profiles. Below the wetting temperature Tw we find very good agreement for slit pores of widths of just a few tens of molecular diameters, while above Tw the modified Kelvin equation only becomes accurate for much larger systems.
AU - malijevsky,A
AU - Parry,AO
AU - Pospisil,M
DO - 10.1103/PhysRevE.96.020801
PY - 2017///
SN - 1539-3755
TI - Edge contact angle and modified Kelvin equation for condensation in open pores
T2 - Physical Review E
UR - http://dx.doi.org/10.1103/PhysRevE.96.020801
UR - http://hdl.handle.net/10044/1/50141
VL - 96
ER -