In Appendix E.2 three version of the cote model of the reactor/flash unit plant arc developed. One is a “full composition model” (Eqs. E.2.8 through E2- 30) that provides the relations needed to calculate every stream variable and every vessel holdup in the plant design. The second model (Eqs. E,2-32 through E.2-39) is a reduced composition model, obtained from the full model by elimination of all variables and equations not needed to implement the control loops in this chapter Thus only the necessary manipulated and disturbance variables, the dependent variables in the differential equations (predominantly reactor and recycle tank compositions) acid the controlled (output) variables remain in the second model. The third model (Eqs. E.2-46 through P.,2-54) is a reduced version of the original model equations in which component mass holdups have been used instead of vessel concentrations as the dependent variables. Note that all the numerical and simulation results in this chapter were obtained using the third model.

(a) Provide a degrees of freedom analysis for each of the three models. Identify all variables and list all of the required equations by number. Specify the parameters required for each model.

(b) What are the advantages and disadvantages for each model from?

(c) Implement the full concentration model and either of the reduced models using Simulink investigate the dynamic nature of the recycle plant arid compare the responses of the two uncontrolled plants using changes in one or more disturbances.