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Fuel Slosh Model

Source Notebook

A model of the fluid slosh dynamics in a spacecraft

Examples

Basic Examples (3) 

Retrieve the model:

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

The icon:

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

The annotation:

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

Scope & Additional Elements (4) 

Available content elements:

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

The available model types:

In[5]:=
ResourceData[\!\(\* TagBox["\"\<Fuel Slosh Model\>\"", #& , BoxID -> "ResourceTag-Fuel Slosh Model-Input", AutoDelete->True]\), "AvailableModelTypes"]
Out[5]=

The operating point:

In[6]:=
ResourceData[\!\(\* TagBox["\"\<Fuel Slosh Model\>\"", #& , BoxID -> "ResourceTag-Fuel Slosh Model-Input", AutoDelete->True]\), "OperatingPoint"]
Out[6]=

The parameters:

In[7]:=
ResourceData[\!\(\* TagBox["\"\<Fuel Slosh Model\>\"", #& , BoxID -> "ResourceTag-Fuel Slosh Model-Input", AutoDelete->True]\), "Parameters"]
Out[7]=

Visualizations (3) 

A transfer-function model of the system:

In[8]:=
tfm = TransferFunctionModel[ResourceData[\!\(\* TagBox["\"\<Fuel Slosh Model\>\"", #& , BoxID -> "ResourceTag-Fuel Slosh Model-Input", AutoDelete->True]\), "TransferFunctionModel"] /. ResourceData[\!\(\* TagBox["\"\<Fuel Slosh Model\>\"", #& , BoxID -> "ResourceTag-Fuel Slosh Model-Input", AutoDelete->True]\), "Parameters"], SystemsModelLabels -> {{\[ScriptR], Subscript[\[ScriptF], 1], Subscript[\[ScriptF], 2]}, {\[Theta], \[Psi], \[Omega], \[Gamma]}}]
Out[8]=

Obtain the transfer function of the thruster input 𝒻2 to the pendulum position ψ:

In[9]:=
tfmP = SystemsModelExtract[tfm, 3, 2]
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Its Bode plot:

In[10]:=
BodePlot[tfmP]
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Analysis (5) 

Only six of the eight states are controllable:

In[11]:=
ssm = ResourceData[\!\(\* TagBox["\"\<Fuel Slosh Model\>\"", #& , BoxID -> "ResourceTag-Fuel Slosh Model-Input", AutoDelete->True]\), "StateSpaceModel"];
In[12]:=
{MatrixRank[ControllabilityMatrix[ssm]], SystemsModelOrder[ssm]}
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Determine indices of state pairs that are uncontrollable:

In[13]:=
notC = Select[Subsets[Range[8], {2}], ControllableModelQ[SystemsModelDelete[ssm, None, None, #]] &]
Out[13]=

The corresponding states:

In[14]:=
Grid[Table[Part[{ \[Theta][t], \[Psi][t], x[t], z[t], \[Omega][t], \[Gamma][t], vx[t], vz[t]}, i], {i, notC}], Sequence[ Frame -> True, FrameStyle -> GrayLevel[0.5], Background -> {None, {{ RGBColor[0.88, 1, 0.88], RGBColor[1, 0.85, 0.85]}}}]]
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The subsystem with the third pair of uncontrollable states removed:

In[15]:=
SystemsModelDelete[ssm, None, None, notC[[3]]]
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It is controllable:

In[16]:=
ControllableModelQ[%]
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Suba Thomas, "Fuel Slosh Model" from the Wolfram Data Repository (2025)  

Data Resource History

  • Date Created:

Source Metadata

  • Citation:
    • M. Reyhanoglu and J. Rubio Hervas, "Nonlinear dynamics and control of space vehicles with multiple fuel slosh modes," Control Engineering Practice, vol. 20, no. 9, pp. 912–918, Sep. 2012.

Data Downloads

Publisher Information

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