The effect of grinding time (GT) from 15 s to 20 min on the dynamic yield of supercritical fluid extraction (SFE(from fennel was investigated. The extractor was subjected to a pressure of 200 bar, a temperature of 313 K, and a supercritical CO₂ flow rate of 2.0 × 10⁻⁴ kg/s over 80 min. It was found that the overall SFE yield was increased from 6.4 g/100 g fennel when GT = 15 s to 9.8 g/100 g fennel when GT =6 min, while it changed by only 1.5 g/100 g fennel after increasing GT from 6 min to 20 min. The process was then modeled based on the mass conservation law, and the model was solved using Galerkin’s method on finite element method (FEM). It was demonstrated that considering the whole bed as one single element can acceptably solve the PDEs and reduces the computation cost significantly.

15 s至20 min的磨削时间（GT）对超临界流体萃取（从茴香中萃取SFE（）的动态收率的影响。萃取器承受200 bar的压力，313 K的温度和超临界CO ₂流量为2.0×10 ^-4在80分钟内达到kg / s。发现总的SFE产量从GT = 15 s时的6.4 g / 100 g茴香增加到GT = 6 min时的9.8 g / 100 g茴香，而GT的增加后仅增加了1.5 g / 100 g茴香。 6分钟至20分钟。然后根据质量守恒定律对过程进行建模，并使用Galerkin有限元方法（FEM）求解模型。结果表明，将整张床视为一个单独的元素可以令人满意地解决PDE，并显着降低了计算成本。