Modeling Tee Branches (1)

• Tee branches:
  • split or join mass flows
    • 
    • simplification: 90° angle and identical cross sections A
  • complex behaviour
    • changed total cross sections → dynamic pressure changes
    • internal friction → pressure drops
  • nonlinear coupling across the complete model
    • MFL: drastic simplifications necessary (substitutional pipe length)
    • TFS: no nonlinear coupling of components (mass flow is state variable!)
• Equations of basic splitter TeeBranchS:
  • simplifications
    • constant temperature
    • constant density, coming from input state
    • in applications usually ok
  • loss functions ζ_cs, ζ_cb
    • describe friction and part of dynamical pressure
    • here: simple fit polynomials
  • basic equations
    • 
  • in TFS additional equations for r variable (Zimmer 2020)