In the modern world, the biodiesel reactor plays a vital role in the satisfaction of various functions. To satisfy different power requirements, efficient generation and transmission of the biodiesel reactors are essential. Given that several approaches are adopted to generate the biodiesel reactor, the manner in which a system’s generators are scheduled economically proves contributory towards meeting the desired demand. These trends have led to the evolution of two-phase and three-phase flow modeling as a mechanism through which the problem of biodiesel reactors could be solved. Notably, biodiesel reactor emerges as one of the most significant optimization problems surrounding the process of thermal generator generation system scheduling. Here, the biodiesel reactor problem attracts an ultimate goal of decreasing the power generation system’s operation cost. Indeed, this demand comes in the wake of the need to ensure that the required power is supplied. Similarly, the biodiesel reactor problem requires that the solution seeks to satisfy the system’s various operational constraints. Some of the traditional techniques that have been employed towards addressing the biodiesel reactor problem include Newton’s method, lambda iteration method, gradient method, and linear programming method. This review paper has focused on the subject of two-phase and three-phase modeling in relation to settings involving biodiesel reactors. Importantly, the study has established that the results documented by various scholarly investigations avow that two-phase and three-phase flow modeling’s high performance is evident in situations marred by real and semi-real problems.

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