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Funda-
mentals
      Thermo-
      dynamics

      Kinetic
     data bases

        Micro-
       kinetics

      Ab-initio
      methods



Starting point: If you intend to perform a thorough investigation of the reaction kinetics, you should start
with the fundamental basis: search for thermodynamics and kinetic databases (if available). Additionally,
microkinetics and ab-initio modelling (e.g. using the DFT theory) could be considered.
Funda-                         Create reaction network

mentals                      Construct rate expressions

                              Initial parameter estimates
      Thermo-
      dynamics

      Kinetic
     data bases

        Micro-
       kinetics

      Ab-initio
      methods



Second step: The basic information is often prerequisite to allow to draw the reaction network, followed
by construction of the reaction rate equations and make rough estimates of the kinetic parameters to be
used as starting values in the parameter estimation. Besides open literature, information from
comparable systems are important sources of information.
Funda-                         Create reaction network
                                                                           Reactor model
mentals                      Construct rate expressions
                                                                           Reactor model
                                                                         Preferentially simple models
                                                                         Preferentially simple models
                                                                          Also: Dynamic operation
                                                                           Also: Dynamic operation
                              Initial parameter estimates
      Thermo-
      dynamics

      Kinetic
     data bases

        Micro-
       kinetics

      Ab-initio
      methods



Modelling: The next step is to set up your reactor model, based on the conservation of momentum, mass,
and energy. In order to concentrate the effort on the reaction kinetics, these reactor models should be
preferentially simple (i.e. ideally stirred tank or plug-flow reactor). Non-steady state operation may be
considered to increase the amount of information about the reaction system.
Funda-                         Create reaction network
                                                                            Reactor model
mentals                       Construct rate expressions
                                                                            Reactor model
                                                                          Preferentially simple models
                                                                          Preferentially simple models
                                                                           Also: Dynamic operation
                                                                            Also: Dynamic operation
                              Initial parameter estimates
      Thermo-
      dynamics
                                 Experimental data
      Kinetic                    (without transport limitations)

     data bases

        Micro-
       kinetics

      Ab-initio
      methods



Experimental work: After selecting a suitable test reactor and suitable test conditions at which one can
exclude disturbing phenomena such as transport limitations, non-homogeneous flow distribution, and
insufficient mixing can be excluded, a series of experiments should be carried out.
Funda-                        Create reaction network
                                                                         Reactor model
mentals                      Construct rate expressions
                                                                         Reactor model
                                                                       Preferentially simple models
                                                                       Preferentially simple models
                                                                        Also: Dynamic operation
                                                                         Also: Dynamic operation
                             Initial parameter estimates
     Thermo-
     dynamics                                                       Parameter estimation
                                                                    Parameter estimation
                                Experimental data
      Kinetic                  (without transport limitations)

     data bases                                                                _
        Micro-
                                                                                   +
       kinetics

      Ab-initio                                                          Reaction kinetics
                                                                         Reaction kinetics
      methods



Parameter estimation: The unknown kinetic rate parameters are optimized to fit to the experimental data
as well as possible using a suitable software package, which should also provide proper statistical
information concerning the fit(s) obtained.
Funda-                         Create reaction network
                                                                           Reactor model
mentals                       Construct rate expressions
                                                                           Reactor model
                                                                          Preferentially simple models
                                                                          Preferentially simple models
                                                                           Also: Dynamic operation
                                                                            Also: Dynamic operation
                              Initial parameter estimates
      Thermo-
      dynamics                                                         Parameter estimation
                                                                       Parameter estimation
                             New Experimental data
      Kinetic                    (without transport limitations)

     data bases                                                                   _
        Micro-
                                                                                      +
       kinetics            Design of experiments
                           Design of experiments
                           for: 1) Model discrimination
                            for: 1) Model discrimination
      Ab-initio                 2) Improving parameter
                                 2) Improving parameter                     Reaction kinetics
                                                                            Reaction kinetics
                                   estimates
                                    estimates
      methods



Improving the kinetics: In many cases the fit obtained with the initial set of experiments yields too
unreliable kinetics. By using software suitable for (sequential) experimental design, you may determine
the most suitable experimental conditions for additional experiments to facilitate model discrimination
and to reduce the uncertainty ranges of the rate parameters.
Funda-                         Create reaction network
                                                                            Reactor model
mentals                       Construct rate expressions
                                                                            Reactor model
                                                                          Preferentially simple models
                                                                          Preferentially simple models
                                                                           Also: Dynamic operation
                                                                            Also: Dynamic operation
                              Initial parameter estimates
      Thermo-
      dynamics                                                         Parameter estimation
                                                                       Parameter estimation
                              New Experimental data
      Kinetic                    (without transport limitations)

     data bases                                                                   _
        Micro-
                                                                                      +
       kinetics            Design of experiments
                           Design of experiments
                           for: 1) Model discrimination
                            for: 1) Model discrimination
      Ab-initio                 2) Improving parameter
                                 2) Improving parameter                     Reaction kinetics
                                                                            Reaction kinetics
                                   estimates
                                    estimates
      methods

                                                                        Effects of uncertainties
                                                                        Effects of uncertainties
Translation to the production scale: An important but not easy step is to translate the remaining
uncertainties in the kinetic model obtained to the uncertainty in the performance of the large-scale
industrial reactor.

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Kinetics reaction scheme_v1 2

  • 1. Funda- mentals Thermo- dynamics Kinetic data bases Micro- kinetics Ab-initio methods Starting point: If you intend to perform a thorough investigation of the reaction kinetics, you should start with the fundamental basis: search for thermodynamics and kinetic databases (if available). Additionally, microkinetics and ab-initio modelling (e.g. using the DFT theory) could be considered.
  • 2. Funda- Create reaction network mentals Construct rate expressions Initial parameter estimates Thermo- dynamics Kinetic data bases Micro- kinetics Ab-initio methods Second step: The basic information is often prerequisite to allow to draw the reaction network, followed by construction of the reaction rate equations and make rough estimates of the kinetic parameters to be used as starting values in the parameter estimation. Besides open literature, information from comparable systems are important sources of information.
  • 3. Funda- Create reaction network Reactor model mentals Construct rate expressions Reactor model Preferentially simple models Preferentially simple models Also: Dynamic operation Also: Dynamic operation Initial parameter estimates Thermo- dynamics Kinetic data bases Micro- kinetics Ab-initio methods Modelling: The next step is to set up your reactor model, based on the conservation of momentum, mass, and energy. In order to concentrate the effort on the reaction kinetics, these reactor models should be preferentially simple (i.e. ideally stirred tank or plug-flow reactor). Non-steady state operation may be considered to increase the amount of information about the reaction system.
  • 4. Funda- Create reaction network Reactor model mentals Construct rate expressions Reactor model Preferentially simple models Preferentially simple models Also: Dynamic operation Also: Dynamic operation Initial parameter estimates Thermo- dynamics Experimental data Kinetic (without transport limitations) data bases Micro- kinetics Ab-initio methods Experimental work: After selecting a suitable test reactor and suitable test conditions at which one can exclude disturbing phenomena such as transport limitations, non-homogeneous flow distribution, and insufficient mixing can be excluded, a series of experiments should be carried out.
  • 5. Funda- Create reaction network Reactor model mentals Construct rate expressions Reactor model Preferentially simple models Preferentially simple models Also: Dynamic operation Also: Dynamic operation Initial parameter estimates Thermo- dynamics Parameter estimation Parameter estimation Experimental data Kinetic (without transport limitations) data bases _ Micro- + kinetics Ab-initio Reaction kinetics Reaction kinetics methods Parameter estimation: The unknown kinetic rate parameters are optimized to fit to the experimental data as well as possible using a suitable software package, which should also provide proper statistical information concerning the fit(s) obtained.
  • 6. Funda- Create reaction network Reactor model mentals Construct rate expressions Reactor model Preferentially simple models Preferentially simple models Also: Dynamic operation Also: Dynamic operation Initial parameter estimates Thermo- dynamics Parameter estimation Parameter estimation New Experimental data Kinetic (without transport limitations) data bases _ Micro- + kinetics Design of experiments Design of experiments for: 1) Model discrimination for: 1) Model discrimination Ab-initio 2) Improving parameter 2) Improving parameter Reaction kinetics Reaction kinetics estimates estimates methods Improving the kinetics: In many cases the fit obtained with the initial set of experiments yields too unreliable kinetics. By using software suitable for (sequential) experimental design, you may determine the most suitable experimental conditions for additional experiments to facilitate model discrimination and to reduce the uncertainty ranges of the rate parameters.
  • 7. Funda- Create reaction network Reactor model mentals Construct rate expressions Reactor model Preferentially simple models Preferentially simple models Also: Dynamic operation Also: Dynamic operation Initial parameter estimates Thermo- dynamics Parameter estimation Parameter estimation New Experimental data Kinetic (without transport limitations) data bases _ Micro- + kinetics Design of experiments Design of experiments for: 1) Model discrimination for: 1) Model discrimination Ab-initio 2) Improving parameter 2) Improving parameter Reaction kinetics Reaction kinetics estimates estimates methods Effects of uncertainties Effects of uncertainties Translation to the production scale: An important but not easy step is to translate the remaining uncertainties in the kinetic model obtained to the uncertainty in the performance of the large-scale industrial reactor.