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POLITECNICO DI TORINO - Italy
Giorgio Altare and Massimo Rundo
ASME 2016 International Mechanical Engineering Congress and Exposition
Phoenix, November 16, 2016
3D Dynamic Simulation of a Flow Force
Compensated Pressure Relief Valve
Micaela Olivetti
OMIQ s.r.l. - Italy
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Summary
• Introduction: flow forces in poppet valves
• CFD model in PumpLinx of a relief valve
• Experimental facility
• Analysis of the results
• Tuning of a 0D model in LMS Amesim
2 / 14
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Flow forces in poppet valves
set
F
p
S

Pressure setting
(opening of flow area)
Pressure relief valve
Change of fluid momentum  Flow force
(closing force)
cosflF Q v    
Density
Flow rate Fluid velocity
 The regulated pressure increases with the flow rate
(undesired behaviour)
3 / 14
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Flow force compensation
Fluid deflector
Radial outlet
 Ideally the flow force is null
Backwards deviation
 Net opening force
 Compensation of the
spring force increment
4 / 14
VALVE UNDER STUDY
IN
OUT
deflector
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Mesh construction (PumpLinx )
Calculated poppet lift
(moveable mesh)
Types of grids:
• Fixed
• Sliding (integral with the poppet)
• Deformable (3 types of surface)
• Valve end: fixed surface
 locked nodes
• Valve: mobile surface
 nodes anchored on the
surface and sliding with it
• Cylinder: fixed surface
 nodes slide along the
cylinder generatrixes
cylinder
valve end
valve
5 / 14
sliding
fixed deformable
Flow rate at inlet
Atmospheric pressure at outlet
Boundary
conditions
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Main model features
6 / 14
• Finite volume method
• Unstructured body-fitted Cartesian grids
• Connection through mismatched grid interfaces (MGI)
• identification of overlapped surfaces
• area treated as internal interface and updated every time step
Governing equations:
• Turbulence model standard k-ε
• Wall treatment: standard Wall Function
• Cavitation and aeration modules (Equilibrium dissolved gas)
• No dynamics in air solution/dissolution processes
Numerics:
• Spatial scheme: 1st order upwind
• Temporal scheme: 1st order
• Pressure-velocity coupling: Simple-S
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Mesh refinement
15Mesh density in the
minimum flow area
Pressure with
imposed poppet lift
Lift: 1 mm
Flow: 50 L/min
7 / 14
coarse
medium
finevery fine
A
B
Pressure with
calculated
poppet lift
Configuration analysed
1: A & B coarse grid
2: A & B medium grid
3: A medium – B fine grid
4: A medium – B very fine
5: A & B very fine grid
6
2.8 10
1
2
3
4 5
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Experimental facility
Valve with
transducers
FM
F2
HE
RQ2: two-port flow control valve
FM: turbine flow meter
P1 (100 bar) & P2 (20 bar): pressure transducers
F1 & F2: oil filters
HE: water-oil heat exchanger
Determination of
Flow (Q) - pressure (p)
steady-state curve
8 / 14
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Steady-state curves
3 different pressure setting
Ideal valve  vertical line
(regulated pressure not
function of flow rate)
Real valve without deflector
Regulated pressure increases
with flow rate Q (flow force effect)
Real valve with deflector
The flow force is compensated,
above all at high pressure
cosflF Q v    
9 / 14
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Velocity and pressure fields
Flow rate 40 L/min
Setting 75 bar
Gas volume fraction
Cavitation model
10 / 14
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Influence of deflector angle
45° 0°
Deflector force increases with:
• The rim angle
• The pressure setting
(higher fluid velocity) p

11 / 14
Pset =
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Lumped parameter model (LMS Amesim)
flow source
conical poppet
active surfaceclearancemass &
endstops
poppet lift signal
flow rate signal
Good results with CFD … but also need of fast a running model
Parametric model with loop-up table for flow force compensation
12 / 14
Poppet lift
[mm]
Flow rate
[L/min]
Force[N]
CFD model
• 3D map in Matlab
• 20x20 square matrix
• linear interpolation in Amesim
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Validation of the tuned 0D model
The Q-p curves are contrasted
with the experimental data
 Acceptable behaviour
for a 0D model
Negligible CPU time
Prediction of regulated pressure in a different operating condition:
Pressure setting 30 bar – flow rate 30 L/min
 Difference between 0D – 3D model: 0.33 bar
13 / 14
Politecnico di Torino
Dipartimento Energia
Fluid Power Research Laboratory
http://www.fprl.polito.it
Conclusion
A quite novel application of PumpLinx has been analyzed
• The method for constructing the moveable mesh has been found
• The correct evaluation of the deflector force requires a good cell
refinement along the entire jet path
• The cavitation model must be active to avoid negative pressures
• Max error in pressure evaluation 2.5 bar at 70 bar (3.5 %)
• The geometry of the deflector rim plays a fundamental role
• In the 0D model the construction and the interpolation of the map
force is crucial (force very sensitive to poppet position)
14 / 14
Fluid Power Research Laboratory
www.fprl.polito.it
Politecnico di Torino

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3D Dynamic Simulation of a Flow Force Compensated Pressure Relief Valve

  • 1. POLITECNICO DI TORINO - Italy Giorgio Altare and Massimo Rundo ASME 2016 International Mechanical Engineering Congress and Exposition Phoenix, November 16, 2016 3D Dynamic Simulation of a Flow Force Compensated Pressure Relief Valve Micaela Olivetti OMIQ s.r.l. - Italy
  • 2. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Summary • Introduction: flow forces in poppet valves • CFD model in PumpLinx of a relief valve • Experimental facility • Analysis of the results • Tuning of a 0D model in LMS Amesim 2 / 14
  • 3. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Flow forces in poppet valves set F p S  Pressure setting (opening of flow area) Pressure relief valve Change of fluid momentum  Flow force (closing force) cosflF Q v     Density Flow rate Fluid velocity  The regulated pressure increases with the flow rate (undesired behaviour) 3 / 14
  • 4. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Flow force compensation Fluid deflector Radial outlet  Ideally the flow force is null Backwards deviation  Net opening force  Compensation of the spring force increment 4 / 14 VALVE UNDER STUDY IN OUT deflector
  • 5. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Mesh construction (PumpLinx ) Calculated poppet lift (moveable mesh) Types of grids: • Fixed • Sliding (integral with the poppet) • Deformable (3 types of surface) • Valve end: fixed surface  locked nodes • Valve: mobile surface  nodes anchored on the surface and sliding with it • Cylinder: fixed surface  nodes slide along the cylinder generatrixes cylinder valve end valve 5 / 14 sliding fixed deformable Flow rate at inlet Atmospheric pressure at outlet Boundary conditions
  • 6. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Main model features 6 / 14 • Finite volume method • Unstructured body-fitted Cartesian grids • Connection through mismatched grid interfaces (MGI) • identification of overlapped surfaces • area treated as internal interface and updated every time step Governing equations: • Turbulence model standard k-ε • Wall treatment: standard Wall Function • Cavitation and aeration modules (Equilibrium dissolved gas) • No dynamics in air solution/dissolution processes Numerics: • Spatial scheme: 1st order upwind • Temporal scheme: 1st order • Pressure-velocity coupling: Simple-S
  • 7. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Mesh refinement 15Mesh density in the minimum flow area Pressure with imposed poppet lift Lift: 1 mm Flow: 50 L/min 7 / 14 coarse medium finevery fine A B Pressure with calculated poppet lift Configuration analysed 1: A & B coarse grid 2: A & B medium grid 3: A medium – B fine grid 4: A medium – B very fine 5: A & B very fine grid 6 2.8 10 1 2 3 4 5
  • 8. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Experimental facility Valve with transducers FM F2 HE RQ2: two-port flow control valve FM: turbine flow meter P1 (100 bar) & P2 (20 bar): pressure transducers F1 & F2: oil filters HE: water-oil heat exchanger Determination of Flow (Q) - pressure (p) steady-state curve 8 / 14
  • 9. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Steady-state curves 3 different pressure setting Ideal valve  vertical line (regulated pressure not function of flow rate) Real valve without deflector Regulated pressure increases with flow rate Q (flow force effect) Real valve with deflector The flow force is compensated, above all at high pressure cosflF Q v     9 / 14
  • 10. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Velocity and pressure fields Flow rate 40 L/min Setting 75 bar Gas volume fraction Cavitation model 10 / 14
  • 11. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Influence of deflector angle 45° 0° Deflector force increases with: • The rim angle • The pressure setting (higher fluid velocity) p  11 / 14 Pset =
  • 12. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Lumped parameter model (LMS Amesim) flow source conical poppet active surfaceclearancemass & endstops poppet lift signal flow rate signal Good results with CFD … but also need of fast a running model Parametric model with loop-up table for flow force compensation 12 / 14 Poppet lift [mm] Flow rate [L/min] Force[N] CFD model • 3D map in Matlab • 20x20 square matrix • linear interpolation in Amesim
  • 13. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Validation of the tuned 0D model The Q-p curves are contrasted with the experimental data  Acceptable behaviour for a 0D model Negligible CPU time Prediction of regulated pressure in a different operating condition: Pressure setting 30 bar – flow rate 30 L/min  Difference between 0D – 3D model: 0.33 bar 13 / 14
  • 14. Politecnico di Torino Dipartimento Energia Fluid Power Research Laboratory http://www.fprl.polito.it Conclusion A quite novel application of PumpLinx has been analyzed • The method for constructing the moveable mesh has been found • The correct evaluation of the deflector force requires a good cell refinement along the entire jet path • The cavitation model must be active to avoid negative pressures • Max error in pressure evaluation 2.5 bar at 70 bar (3.5 %) • The geometry of the deflector rim plays a fundamental role • In the 0D model the construction and the interpolation of the map force is crucial (force very sensitive to poppet position) 14 / 14
  • 15. Fluid Power Research Laboratory www.fprl.polito.it Politecnico di Torino