Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10378246 | Journal of Colloid and Interface Science | 2005 | 9 Pages |
Abstract
Effective mercury intrusion in a wedge-shaped slit is gradual, the intruded depth increasing with applied pressure. The Washburn equation must be modified accordingly. It relates the distance, e, separating the three-phase contact lines on the wedge faces to the hydrostatic pressure, P, wedge half-opening angle α, mercury surface tension γ, and contact angle θ: e=(â2γ/P)cos(θâα) if θâα>Ï2. The equations relating the volume of mercury in a single slit to hydrostatic pressure are established. The total volume of mercury VHgtot(E0,e) intruded in a set of unconnected isomorphous slits (same α value) with opening width, E, distributed over interval [E0,0], and volume-based distribution of opening width, fV(E), is written as VHgtot(E0,e)=ââ«E0efV(E)dE+(1âb)e2â«E0efV(E)dEE2âtanαâ«E=e0G(X(E,e))fV(E)dE, where G(X)=(sinâ1XâX1âX2)/X2 and X(E,e)=âcos(θâα)Ee. The exact relation between total internal surface area and integral pressure work is Stot=â1γHg(cosθ+sinα)â«0VHgtotPdVHgtot.
Related Topics
Physical Sciences and Engineering
Chemical Engineering
Colloid and Surface Chemistry
Authors
Pierre Bracconi, Michael Sipple, Jean-Claude Mutin,