In this study, subcritical water extraction (SCWE) was used for dynamic extraction of crude oil of Nannochloropsis salina. The effect of three parameters including water temperature, flow rate and sample loading on the extraction efficiency was investigated and the whole process was simulated by using a two-phase mathematical model. Water temperature, flow rate and sample loading were varied from 150 to 200 degrees C, from 1 to 4 mL/min and from 1 to 4 g, respectively. The best operating conditions were selected to be 175 degrees C, 4 mL/min and 1 g and at those conditions, the fatty acids profile was compared with the Folch method. Because of the nature of the biomass and small particle sizes of the cells, a mathematical model based on the shrinking core model (SCM) was developed to evaluate the behavior of the extraction process. Kinetic parameters of the model incl. external film mass transfer coefficient (k(f)), solute-solvent binary diffusion coefficient (D-12), axial dispersion coefficient (D-ax) and effective diffusivity (De) in solid particle were determined. The later one was selected as the tuning parameter of the model and the others were attained from available correlations. The model predictions were in good agreement with experimental data. (C) 2018 Elsevier Ltd. All rights reserved.