Abstract:Optimization of industrial styrene reactor design for two objectives using the non-dominated sorting genetic algorithm (NSGA) is studied. Both adiabatic and steam-injected reactors are considered. The two objectives are maximization of styrene production and styrene selectivity. The study shows that styrene reactor design can be optimized easily and reliably for two objectives by NSGA. It provides a range of optimal designs, from which the most suitable design can be selected based on other considerations.
“…Although the foregoing model is for an empty tubular reactor, the pseudo-homogeneous model case implies that the same model can be applied to a packed-bed reactor where there are no fluid-tocatalyst particle mass and/or heat transfer resistances or they are considered small. Pseudohomogeneous tubular reactor models are widely employed in the literature to simulate, design/optimize and control catalytic fixed bed reactors [29][30][31][32][33][34][35][36][37][38][39][40]. This is because pseudohomogeneous models are much simpler to use for simulation, optimization or control design since the inter-and intra-particle resistances are neglected.…”
Section: Model Of Isothermal Tubular Reactor Systems With Axial Mass Dispersionmentioning
In this paper, the modelling, numerical lumping and simulation of the dynamics of one-dimensional, isothermal axial dispersion tubular reactors for single, irreversible reactions with Power Law (PL) and Langmuir-Hinshelwood-Hougen-Watson (LHHW)-type kinetics are presented. For the PL-type kinetics, first-order and second-order reactions are considered, while Michaelis-Menten and ethylene hydrogenation or enzyme substrate-inhibited reactions are considered for the LHHW-type kinetics. The partial differential equations (PDEs) developed for the one-dimensional, isothermal axial dispersion tubular reactors with both the PL and LHHW-type kinetics are lumped to ordinary differential equations (ODEs) using the global orthogonal collocation technique. For the nominal design/operating parameters considered, using only 3 or 4 collocation points, are found to adequately simulate the dynamic response of the systems. On the other hand, simulations over a range of the design/operating parameters require between 5 to 7 collocations points for better results, especially as the Peclet number for mass transfer is increased from the nominal value to 100. The orthogonal collocation models are used to carry out parametric studies of the dynamic response behaviours of the one-dimensional, isothermal axial dispersion tubular reactors for the four reaction kinetics. For each of the four types of reaction kinetics considered, graphical plots are presented to show the effects of the inlet feed concentration, Peclet number for mass transfer and the Damköhler number on the reactor exit concentration dynamics to step-change in the inlet feed concentration. The internal dynamics of the linear (or linearized) systems are examined by computing the eigenvalues of the linear (or linearized) lumped orthogonal collocation models. The relatively small order of the lumped orthogonal collocation dynamic models make them attractive and useful for dynamic resilience analysis and control system analysis/design studies.
“…Although the foregoing model is for an empty tubular reactor, the pseudo-homogeneous model case implies that the same model can be applied to a packed-bed reactor where there are no fluid-tocatalyst particle mass and/or heat transfer resistances or they are considered small. Pseudohomogeneous tubular reactor models are widely employed in the literature to simulate, design/optimize and control catalytic fixed bed reactors [29][30][31][32][33][34][35][36][37][38][39][40]. This is because pseudohomogeneous models are much simpler to use for simulation, optimization or control design since the inter-and intra-particle resistances are neglected.…”
Section: Model Of Isothermal Tubular Reactor Systems With Axial Mass Dispersionmentioning
In this paper, the modelling, numerical lumping and simulation of the dynamics of one-dimensional, isothermal axial dispersion tubular reactors for single, irreversible reactions with Power Law (PL) and Langmuir-Hinshelwood-Hougen-Watson (LHHW)-type kinetics are presented. For the PL-type kinetics, first-order and second-order reactions are considered, while Michaelis-Menten and ethylene hydrogenation or enzyme substrate-inhibited reactions are considered for the LHHW-type kinetics. The partial differential equations (PDEs) developed for the one-dimensional, isothermal axial dispersion tubular reactors with both the PL and LHHW-type kinetics are lumped to ordinary differential equations (ODEs) using the global orthogonal collocation technique. For the nominal design/operating parameters considered, using only 3 or 4 collocation points, are found to adequately simulate the dynamic response of the systems. On the other hand, simulations over a range of the design/operating parameters require between 5 to 7 collocations points for better results, especially as the Peclet number for mass transfer is increased from the nominal value to 100. The orthogonal collocation models are used to carry out parametric studies of the dynamic response behaviours of the one-dimensional, isothermal axial dispersion tubular reactors for the four reaction kinetics. For each of the four types of reaction kinetics considered, graphical plots are presented to show the effects of the inlet feed concentration, Peclet number for mass transfer and the Damköhler number on the reactor exit concentration dynamics to step-change in the inlet feed concentration. The internal dynamics of the linear (or linearized) systems are examined by computing the eigenvalues of the linear (or linearized) lumped orthogonal collocation models. The relatively small order of the lumped orthogonal collocation dynamic models make them attractive and useful for dynamic resilience analysis and control system analysis/design studies.
“…Owing to their industrial importance, hydrogen and aniline manufacturing plants have large capacities. Consequently, the investment cost in those plants is high where any small enhancement in the process could yield significant financial rewards [7,8].…”
“…profit and environmental functions. The problem was solved by an improved version of the normal boundary intersection (NBI) method (Das and Dennis, 1998) which combined the Li et al (2003) treated the same problem as addressed by Clough and Ramirez (1976), but with two objective functions. Both the adiabatic and steam-injected styrene reactors were considered, while styrene production and styrene selectivity were taken as the objective functions of the optimization problem.…”
Section: Literature Reviewmentioning
confidence: 99%
“…Hence, the investment cost in those plants is high, so that any small enhancement in the process could yield significant financial rewards (Babu et al 2005, Li et al 2003.…”
Abstract:Coupling the dehydrogenation of ethylbenzene to styrene with the hydrogenation of nitrobenzene to aniline in a catalytic fixed bed membrane reactor has the potential for significantly improving both processes (Abo-Ghander et al. 2008). In a continuing effort to realize this potential, an optimal design is sought for a co-current flow, catalytic membrane reactor configuration. To achieve this objective, two conflicting objective functions, namely: the yield of styrene on the dehydrogenation side and the conversion of nitrobenzene on the hydrogenation side, have been considered. The total number of the decision variables considered in the optimization problem is twelve, representing a set of operational and dimensional parameters. The problem has been solved numerically by two deterministic multi-objective optimization approaches: the normalized normal constraint method and the normal boundary intersection method. It was found that the integrating reactor can be run to produce a maximum styrene yield of 97% when production of styrene is emphasized and a maximum of 80% of nitrobenzene conversion when nitrobenzene conversion is emphasized. The resulting sets of Pareto optimal solutions obtained by both techniques have been found to be identical. In addition, * Corresponding
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