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Two-Stage Reactor Model

Source Notebook

A model of a two-stage chemical reactor with delayed recycle

Examples

Basic Examples (3) 

Retrieve the model:

In[1]:=
ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\)]
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The icon:

In[2]:=
ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), "Icon"]
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The annotation:

In[3]:=
ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), "Annotation"]
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Scope & Additional Elements (4) 

Available content elements:

In[4]:=
\!\(\* TagBox[ RowBox[{"ResourceObject", "[", "\"\<Two-Stage Reactor Model\>\"", "]"}], #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\)["ContentElements"]
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The available model types:

In[5]:=
ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), "AvailableModelTypes"]
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The operating point:

In[6]:=
ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), "OperatingPoint"]
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The parameters:

In[7]:=
ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), "Parameters"]
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Visualizations (3) 

The system's transfer-function model and parameters:

In[8]:=
{tfm, pars} = Table[ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), elems], {elems, {"TransferFunctionModel", "Parameters"}}]
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Obtain the transfer-function of the fresh feed flow rate q1 to the product 2 flow rate q2:

In[9]:=
tfmE = SystemsModelExtract[tfm /. pars, 1, 2]
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It's Bode plot:

In[10]:=
BodePlot[tfmE]
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Analysis (2) 

The state space model and its parameters:

In[11]:=
{ssm, pars} = Table[ResourceData[\!\(\* TagBox["\"\<Two-Stage Reactor Model\>\"", #& , BoxID -> "ResourceTag-Two-Stage Reactor Model-Input", AutoDelete->True]\), elems], {elems, {"StateSpaceModel", "Parameters"}}]
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The reactor's response to a perturbation is delayed:

In[12]:=
OutputResponse[{ssm /. pars, {0.1, -0.1}}, {0, 0}, {t, 0, 10}]; Plot[%, {t, 0, 10}, Sequence[ PlotRange -> All, PlotLegends -> {"ms. c1", "ms. c2"}]]
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Suba Thomas, "Two-Stage Reactor Model" from the Wolfram Data Repository (2025)  

Data Resource History

  • Date Created:

Source Metadata

  • Citation:
    • B. A. Ogunnaike and W. H. Ray, "Multivariable controller design for linear systems having multiple time delays", AIChE Journal, vol. 25, no. 6, pp. 1043–1053, Nov. 1979.

Publisher Information

  • Prepared for the Wolfram Data Repository By: Maher Kuzbari, Suba Thomas
  • Publisher of Record: Suba Thomas