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Volumetric Flow Rate Source (TL)

Generate constant volumetric flow rate

  • Library:
  • Simscape / Foundation Library / Thermal Liquid / Sources

  • Volumetric Flow Rate Source (TL) block

Description

The Volumetric Flow Rate Source (TL) block represents an ideal mechanical energy source in a thermal liquid network. The source can maintain a constant volumetric flow rate regardless of the pressure differential. There is no flow resistance and no heat exchange with the environment. A positive volumetric flow rate causes the fluid to flow from port A to port B.

The volumetric flow rate and mass flow rate are related through the expression

m˙={ρBV˙for V˙0ρAV˙for V˙<0

where:

  • m˙ is the mass flow rate from port A to port B.

  • ρA and ρB are densities at ports A and B, respectively.

  • V˙ is the volumetric flow rate.

The energy balance at the source is a function of the energy flow rates through ports A and B and the work done on the fluid:

ϕA+ϕB+ϕwork=0,

where:

  • ϕA is the energy flow rate into the source through port A.

  • ϕB is the energy flow rate into the source through port B.

  • ϕwork is the isentropic work done on the fluid.

The isentropic work term is

ϕwork=m˙(pBpA)ρavg,

where:

  • ϕwork is the isentropic work done on the thermal liquid.

  • pA is the pressure at port A.

  • pB is the pressure at port B.

  • ρavg is the average liquid density,

    ρavg=ρA+ρB2.

Assumptions and Limitations

  • There are no irreversible losses.

  • There is no heat exchange with the environment.

Ports

Conserving

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Thermal liquid conserving port. A positive flow rate causes the fluid to flow from port A to port B.

Thermal liquid conserving port. A positive flow rate causes the fluid to flow from port A to port B.

Parameters

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Desired volumetric flow rate of the fluid through the source.

Area normal to the direction of flow at the source inlet and outlet. The two cross-sectional areas are assumed identical.

Extended Capabilities

C/C++ Code Generation
Generate C and C++ code using Simulink® Coder™.

Introduced in R2016a