Jatropha curcas oil is a renewable raw material which has been widely used for the production of biodiesel (BD) using various processes. This research article presents a study about BD production via chemical catalytic transesterification reaction method, supercritical methanol (SCM) method, and SCM with stirrer method. On this viewpoint, mathematical models of transesterification reaction process are formulated. The model systems are solved mathematically as well as numerically and the optimum value of important parameters, including reaction temperature, stirrer speed, and the molar ratio of methanol to oil, are found out. A comparative mathematical study has been made among these three processes with respect to product efficiency, reaction conditions, and mass transfer. Furthermore, control theoretic approach is applied in mixing intensity through supercritical process for cost-effective production of BD from Jatropha curcas oil. The optimum conditions were found to be 323K temperature, 6:1 mol/mol for methanol to oil ratio, and 561 rpm for stirrer speed. It may be concluded that SCM with stirrer is a promising alternative to produce BD from Jatropha curcas oil due to its economical benefit, high productivity, and good quality of the product. The validity of the models is established by experimental results available in literature.

麻疯树石油是一种可再生的原材料，已广泛用于通过各种工艺生产生物柴油（BD）。本文研究了通过化学催化酯交换反应法，超临界甲醇（SCM）法和搅拌器法制备SCM的BD。从这一观点出发，建立了酯交换反应过程的数学模型。对模型系统进行数学和数字求解，找出重要参数的最佳值，包括反应温度，搅拌器速度和甲醇与油的摩尔比。在这三个过程中，就产品效率，反应条件和传质进行了比较数学研究。此外，麻风树麻疯油。发现最佳条件是323K温度，甲醇与油的比例为6：1 mol / mol和搅拌器速度为561 rpm。可以得出结论，带搅拌器的SCM是从麻疯树油生产BD的有前途的替代方法，因为它具有经济效益，高生产率和产品质量。模型的有效性由文献中提供的实验结果确定。