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. Author manuscript; available in PMC: 2015 Jan 1.
Published in final edited form as: Sens Actuators B Chem. 2013 Sep 20;190:634–644. doi: 10.1016/j.snb.2013.09.065
Where Lext : maximum extraction length of the microchannel
    γ : surface tension between the two phases
    θcontact : contact angle between the two phases
    w : half-width of microchannel
    h : height of microchannel
    ΔPoutlet : difference between the hydrodynamic pressures in the outlets
    Qaq and Qorg : flow rates of the aqueous and organic phases, respectively
     Raqext¯Rorgext¯: hydrodynamic resistance of the microchannel per unit length in the
extraction zone of the aqueous and organic phases, respectively
    Ψ : maximum extraction efficiency
    Dext : diffusivity of the extracting species
    Uext : linear velocity of the phase in which the extracting species is diffusing
towards the interface
    k=DextUextandλn=nπ2w.