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We study isothermal transport of a nonelectrolyte binary fluid mixture, whichlies in the homogeneous phase near the demixing critical point, through acapillary tube connecting two reservoirs. Usually, one component ispreferentially adsorbed onto the tube wall, and the adsorption becomessignificant owing to large osmotic susceptibility. The mixture flowing out ofthe tube is rich in the preferred component when flow is driven by the pressuredifference between the reservoirs. When flow is driven by the mass-fractiondifference, the total mass flow occurs in the presence of the preferentialadsorption, which means that diffusioosmosis emerges. These phenomena can beregarded as cross effects linked by the reciprocal relation. We also studythese phenomena numerically by using the hydrodynamics based on thecoarse-grained free-energy functional, which was previously obtained in termsof the renormalized local functional theory. It is shown in particular that theconductance, or the total mass flow rate under a given mass-fractiondifference, in diffusioosmosis can change non-monotonically with thetemperature.

Isothermal transport of a near-critical binary fluid mixture through a capillary tube with the preferential adsorption