http://rdf.ncbi.nlm.nih.gov/pubchem/patent/WO-2015121629-A1

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filingDate 2015-02-10-04:00^^<http://www.w3.org/2001/XMLSchema#date>
inventor http://rdf.ncbi.nlm.nih.gov/pubchem/patentinventor/MD5_b5524202752ab456c2d8ed4bed34422d
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publicationDate 2015-08-20-04:00^^<http://www.w3.org/2001/XMLSchema#date>
publicationNumber WO-2015121629-A1
titleOfInvention In situ control of fluid menisci
abstract A system includes a non-vertical channel containing a fluid forming a fluid meniscus having a capillary length and a contact angle θ. The channel in cross-section has a perimeter length |Σ |and an area |Ω|. The cross-section of the non-vertical channel is selected so as to define a constant Lagrange multiplier λ, where λ= |Σ |cos θ / |Ω|. A functional Φ [Γ*] Ξ |Γ*| – cos θ |Σ* | + (1/a 2 ) G* +λ |Ω*| is minimised to define a minimum value Φ 0 =MinΦ. At a critical transition where Φ=0, the fluid defines a smooth arc of length [Γ*] that divides the cross-section of the channel into two parts. |Ω*| is the cross-sectional area of the fluid, which has a curve of length |Σ* | in contact with the channel, and G* represents a vertical position of the centre of mass of the fluid multiplied by the cross-sectional area |Ω*|. How far the fluid meniscus extends along the channel is controlled by one or more parameters of the functional Φ [Γ*].
priorityDate 2014-02-14-04:00^^<http://www.w3.org/2001/XMLSchema#date>
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