# Location: Example bond graph models @ 6fad47e8e5e0 / BG tutorial model fluid mechanics 1.cellml

Author:
Soroush <ssaf006@aucklanduni.ac.nz>
Date:
2018-03-28 16:04:58+13:00
Desc:
Permanent Source URI:
https://models.cellml.org/workspace/47d/rawfile/6fad47e8e5e097485b35964f4e00dfa6801c05c0/BG tutorial model fluid mechanics 1.cellml

```<?xml version='1.0'?>
<model name="BG5" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<units name="J_per_m3">
<unit units="joule"/>
<unit exponent="-3" units="metre"/>
</units>
<units name="m3">
<unit exponent="3" units="metre"/>
</units>
<units name="per_m3">
<unit exponent="-3" units="metre"/>
</units>
<units name="m3_per_s">
<unit exponent="3" units="metre"/>
<unit exponent="-1" units="second"/>
</units>
<units name="J_per_m6">
<unit units="joule"/>
<unit exponent="-6" units="metre"/>
</units>
<units name="Js_per_m6">
<unit units="joule"/>
<unit units="second"/>
<unit exponent="-6" units="metre"/>
</units>
<component name="main">
<variable initial_value="0" name="t" units="second"/>
<!-- State variables-->
<variable initial_value="0" name="q2" units="m3"/>
<variable initial_value="1" name="v1" units="m3_per_s"/>
<variable name="v2" units="m3_per_s"/>
<variable name="v3" units="m3_per_s"/>
<variable name="u1" units="J_per_m3"/>
<variable name="u2" units="J_per_m3"/>
<variable initial_value="1" name="u3" units="J_per_m3"/>
<variable name="u4" units="J_per_m3"/>
<variable name="u5" units="J_per_m3"/>
<!-- Constitutive parameters-->
<variable initial_value="1" name="p0" units="J_per_m3"/>
<variable initial_value="1" name="k3" units="per_m3"/>
<variable initial_value="1" name="R1" units="Js_per_m6"/>
<variable initial_value="1" name="R3" units="Js_per_m6"/>
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q2</ci>
</apply>
<ci>v2</ci>
</apply>
<apply>
<eq/>
<ci>v1</ci>
<apply>
<plus/>
<ci>v2</ci>
<ci>v3</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u1</ci>
<apply>
<plus/>
<ci>u2</ci>
<ci>u4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u2</ci>
<apply>
<plus/>
<ci>u3</ci>
<ci>u5</ci>
</apply>
</apply>
<!-- Constitutive relations-->
<apply>
<eq/>
<ci>u4</ci>
<apply>
<times/>
<ci>R1</ci>
<ci>v1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u2</ci>
<apply>
<times/>
<ci>p0</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>k3</ci>
<ci>q2</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u5</ci>
<apply>
<times/>
<ci>R3</ci>
<ci>v3</ci>
</apply>
</apply>
[/itex]
</component>
</model>
```