The non-catalytic transesterification of microalgae oil with methanol was conducted at 300-400 degrees C, 150-300 bar, methanol-to-oil molar ratio (MOMR) of 6-12, and residence time of 0.5-10 min. A visualization system was built to study the phase transition, and it shows that at the conditions (T: 300-400 degrees C, P: 200 bar, tau: 0.5-10 min, MOMR of 9), the reactions were performed in homogeneous state. The dynamic phase behavior of the reacting systems was also investigated by RK-Aspen Equation of State. The results indicate that at 200 bar, MOMR of 9, and 300-385 degrees C, the reacting mixtures were in liquid state and moved toward supercritical region, while at 400 degrees C the reacting system was initially in liquid state and quickly approached supercritical state due to the fast reaction conversion. The critical points of the reaction mixtures were estimated. Ten commonly used kinetic models were evaluated, and it shows that three-step, reversible second-order model worked best in the data fitting. Reaction rate constants and activation energies for selected models were determined and compared with literature data. (C) 2015 Elsevier B.V. All rights reserved.