WOLFRAM SYSTEM MODELER

BranchingDynamicPipes

Multi-way connections of pipes with dynamic momentum balance, pressure wave and flow reversal

Diagram

Wolfram Language

In[1]:=
SystemModel["Modelica.Fluid.Examples.BranchingDynamicPipes"]
Out[1]:=

Information

This information is part of the Modelica Standard Library maintained by the Modelica Association.

This model demonstrates the use of distributed pipe models with dynamic energy, mass and momentum balances. At time=2s the pressure of boundary4 jumps, which causes a pressure wave and flow reversal.

Change system.momentumDynamics on the Assumptions tab of the system object from SteadyStateInitial to SteadyState, in order to assume a steady-state momentum balance. This is the default for all models of the library.

Change the Medium from MoistAir to StandardWater, in order to investigate a medium with significantly different density. Note the static head caused by the elevation of the pipes.

Note the appropriate use of the modelStructure of the DynamicPipe models (Advanced tab). The default modelStructure is av_vb, i.e. volumes with a pressure state are exposed at both ports. In many cases this gives good numerical performance, avoiding algebraic loops in connections, e.g. if a pipe is connected to a valve or to a vessel with portsData configured. The price to pay is a high-index DAE if two pipes are connected or if a pipe is connected to a boundary with prescribed pressure. In such cases one might consider changing the modelStructure.

In the BranchingDynamicPipes example, {pipe1,pipe3,pipe4}.modelStructure are configured to a_v_b, while pipe2.modelStructure remains av_vb. This avoids a high-index DAE and overdetermined initial conditions.

BranchingDynamicPipes.png

Components (9)

system

Type: System

Description: System properties and default values (ambient, flow direction, initialization)

boundary1

Type: Boundary_pT

Description: Boundary with prescribed pressure, temperature, composition and trace substances

pipe1

Type: DynamicPipe

Description: Dynamic pipe model with storage of mass and energy

pipe2

Type: DynamicPipe

Description: Dynamic pipe model with storage of mass and energy

pipe3

Type: DynamicPipe

Description: Dynamic pipe model with storage of mass and energy

pipe4

Type: DynamicPipe

Description: Dynamic pipe model with storage of mass and energy

boundary4

Type: Boundary_pT

Description: Boundary with prescribed pressure, temperature, composition and trace substances

ramp1

Type: Ramp

Description: Generate ramp signal

heat2

Type: FixedHeatFlow[pipe2.nNodes]

Description: Fixed heat flow boundary condition