Fed-Batch Reactor Model

Source Notebook

Model of a fed-batch reactor

Examples

Basic Examples (3) 

Retrieve the model:

In[1]:=
ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\)]
Out[1]=

The icon:

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

The annotation:

In[3]:=
ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\), "Annotation"]
Out[3]=

Scope & Additional Elements (5) 

Available content elements:

In[4]:=
\!\(\*
TagBox[
RowBox[{"ResourceObject", "[", "\"\<Fed-Batch Reactor Model\>\"", "]"}],
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\)["ContentElements"]
Out[4]=

The transfer function model:

In[5]:=
ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\), "TransferFunctionModel"]
Out[5]=

The input variables:

In[6]:=
ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\), "InputVariables"]
Out[6]=

Other variables:

In[7]:=
ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\), "OtherVariables"]
Out[7]=

Temporal variable:

In[8]:=
ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\), "TemporalVariable"]
Out[8]=

Analysis (2) 

The numerical model of the system:

In[9]:=
nssm = ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\)] /. ResourceData[\!\(\*
TagBox["\"\<Fed-Batch Reactor Model\>\"",
#& ,
BoxID -> "ResourceTag-Fed-Batch Reactor Model-Input",
AutoDelete->True]\), "Parameters"]
Out[9]=

Its response to a perturbation in the states is highly nonlinear:

In[10]:=
StateResponse[{nssm, {0.75, 0.01, 2}}, 0, {t, 0, 60}];
Plot[%, {t, 0, 60}, PlotRange -> All, PlotLegends -> {x, s, m}]
Out[11]=

Suba Thomas, "Fed-Batch Reactor Model" from the Wolfram Data Repository (2025)  

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