AUTHORS: Fahad Al Basir, Priti Kumar Roy

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ABSTRACT: Biodiesel is produced through transesterification of vegetable oils or animal fats. It significantly depends on many reaction parameters among which temperature and stirring are most important. In transesterification, reaction rates follow Arrhenius equation (i.e. function of temperature). Also, effect of stirring effect on reaction rate can be described as Boltzmann sigmoid form (as a function of stirring). On that outlook, in this research article, a mathematical model is proposed to study the simultaneous effect of stirring and temperature on transesterification process. A two control parameters optimal control problem is formulated to optimize biodiesel yield. Maximum principle is used to solved the optimal control problem. The optimal control problem is solved using numerically method in Matlab. Simulation results of the optimality system are plotted in figures and found to be satisfactory.

KEYWORDS: Biodiesel, Transesterification, Stirring, Temperature, Maximum Principle

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