A new mathematical model is presented for the supercritical fluid extraction of lanoline from wool using near-critical ethanol-modified CO2, using our previous experimental data. The model is intended to account for the extraction of lanoline at conditions well above its melting point (60-80 degrees C) and pressures up to 150 bar. The model parameters are a Henry-type fluid-to-liquid partition coefficient for lanoline, K = C-g/C-L, and a fluid-side mass-transfer coefficient, k(G). For Re similar to 1, K is independent of velocity and wool packing density, but increases with pressure (K = 4 -15 x 10(-4)). k(G) is found to be independent of temperature; it increases with velocity, decreases with pressure, and increases with wool packing density. The values found are k(G) = 5.66 x 10(-6) m/s (70 bar) and k(G) = 1.51 x 10(-6) m/s (150 bar). (c) 2020 Institution of Chemical Engineers. Published by Elsevier B.V. All rights reserved.