NOVELTY - The method involves creating an emulsion by combining a feed stream (1), an extractant and a surfactant, where the stream comprises a component present at an initial amount. A portion of the component is removed from the emulsion by contacting the emulsion with a first side of a superoleophobic and hygroscopic membrane filter (7) to facilitate passage of the component and the extractant through the superoleophobic and hygroscopic membrane filter to a second side of the filter. A purified product that includes the portion of the component removed is collected.    USE - Method for facilitating liquid- liquid extraction for refining fuel e.g. diesel fuel, jet fuel, petrol, kerosene, liquid petroleum gas, low sulfur fuel, coal-derived liquid fuel, synthetic fuel, ether, alcohol, biofuel, biodiesel, biodiesel-derived fuel and synthetic diesel (all claimed) at petro-chemical industry.    ADVANTAGE - The method enables extracting fluid to pass through a stationary adsorbent, which is prevented from becoming entrained in the extract fluid flow by a porous confinement in an efficient manner, while preventing permeation of the emulsified droplets of dye-depleted dodecane. The method enables removing impurities from feed streams in economic, efficient and reliable manner. The method enables refining the fuel in an efficient manner without requiring large-scale chemical processing equipment.    DETAILED DESCRIPTION - The first component is a contaminant. The feed stream is selected from a group consisting of hydrocarbon feed stream and an azeotrope. INDEPENDENT CLAIMS are also included for the following:    (1) a separator device    (2) a method for refining a fuel    (3) an apparatus for facilitating liquid-liquid separation.    DESCRIPTION OF DRAWING(S) - The drawing shows a schematic view of apparatus for facilitating liquid-liquid separation.    Feed stream (1)    Superoleophobic and hygroscopic membrane filters (7, 10)    Refined fuel phase (11)    Collection conduit or tube (12)    Extracted fluid (13)