The effect of dispersion on optimum residence times of chemical reactor systems using perturbation expansion techniques
Master of Science
In this paper a mathematical study is made of the effect of dispersion on the optimum residence time of the axial dispersed tubular reactor with non-linear kinetics. For this purpose it is shown how perturbation techniques can be used to obtain analytical solutions to the non-linear dispersion equations. Following Kipp  the consecutive reaction system A ^B ^C is used exclusively, where B is the desired intermediate product. The optimum residence time is defined as that which maximizes the yield of B. As a natural extension to the work mentioned above, Pontryagin's principle is applied to the same system to illustrate how one would go about obtaining a best temperature profile along the axis of the reactor. It was found that when dispersion is introduced in the problem, for e1 > e2 the optimum policy is restricted as for the ideal case to either of 0 or T*, where 0 and T* are the lower and upper boundaries of the admissible set 0 <= T <=T*.