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Introduction to Computational Tribology: Contact Pairs Modeling
Xavier BorrasTwente UniversityNovember 2015
The slides are available at my profile page in
3. Collar
2. Fluid
1. Pad
Tribological Contact Pairs
3. Collar
2. Fluid
1. Pad
Thin Film Flow: Reynolds PDE
𝜕𝜕𝑥 ( 𝜌 h
3
12𝜂𝜕𝑝𝜕 𝑥 )=𝑈
2𝜕𝜕 𝑥 (𝜌 h)
gap height velocity
density
viscosity
pressure
1. Fluid Cavitation2. Non-Newtonian Fluid3. Density = f(Temp, Pressure)4. Viscosity = f(Temp, Pressure)5. Homogenization Techniques6. Fluid Starvation7. Time dependent
𝑝𝑝 :𝐻𝑦𝑑𝑟𝑜𝑑𝑦𝑛𝑎𝑚𝑖𝑐 𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒
3. Collar
2. Fluid
1. Pad
Lubrication Regimes
NO CONTACTCONTACT
DRY WET FULL FILM LUBRICATION
3. Collar
2. Fluid
1. Pad
Lubrication Regimes
NO CONTACTCONTACT
DRY WET FULL FILM LUBRICATION
3. Collar
2. Fluid
1. Pad
Lubrication Regimes
NO CONTACTCONTACT
DRY WET FULL FILM LUBRICATION
Gap Height
No Contact ModelContact Model
Asperities
Reynolds PDEModified Reynolds+ Homogenization
+ Starvation
No Reynolds
Fluid Film
3. Collar
2. Fluid
1. Pad
HLHydrodynamic
Lubrication model- Reynolds PDE
Computational Models Coupling
𝑃𝐻𝐷Reynolds PDE
(…)
𝑈
𝑝
h
3. Collar
2. Fluid
1. Pad
HLHydrodynamic
Lubrication model- Reynolds PDE
EHLElastoHydrodynamic
Lubrication model- Reynolds PDE- Linear Elastic
Linear Elastic𝑢
𝐸 , ν+𝐵𝐶(𝑃𝐻𝐷 ,…)
Computational Models Coupling Degree
𝑝
𝑃𝐻𝐷Reynolds PDE
(…)
𝑈
𝑝
h
3. Collar
2. Fluid
1. Pad
HLHydrodynamic
Lubrication model- Reynolds PDE
EHLElastoHydrodynamic
Lubrication model- Reynolds PDE- Linear Elastic
TEHLThermal
ElastoHydrodynamic Lubrication model- Reynolds PDE- Linear Elastic- Heat Balance
Computational Models Coupling Degree
𝑝
𝑈
𝑃𝐻𝐷Reynolds PDE
(…)
Linear Elastic𝑢
𝐸 , ν+𝐵𝐶(𝑃𝐻𝐷 ,…)
𝑇Heat Balance
𝑘 ,𝐶𝑝 ,ρ ,𝛼+𝐵𝐶 (𝑃𝐻𝐷 ,…)
h
3. Collar
2. Fluid
1. Pad
Spring-supported Thrust Bearings
THRUST BEARING
3. Collar
2. Fluid
1. Pad COLLAR
PAD SUPPORT
SHAFT WEIGHT
Pressure distribution
p Fluid Velocity Field
U
Gap Height h
Spring-supported Thrust Bearings
𝜕𝜕𝑥 ( 𝜌 h
3
12𝜂𝜕𝑝𝜕 𝑥 )=𝑈
2𝜕𝜕 𝑥 (𝜌 h)
gap heightvelocity
densityviscosity
pressure
3. Collar
2. Fluid
1. Pad
Spring-supported Thrust Bearings
Pressure on the Gap Pad TemperatureFluid Film Thickness
PAD
COLLAR
FLUID
3. Collar
2. Fluid
1. Pad
Stern Tube Seals: Rotary Seals
3. Collar
2. Fluid
Stern Tube Seals: Rotary Seals
Pgas
Pambient
A) No pressure build-up is expected between rod due to the rod rotation.B) Any axial displacement will easily cause a leakage.C) The negative pressure gradient towards ambient will hamper leakage into the
machine.
Introduction to Computational Tribology: Contact Pairs Modeling
Xavier BorrasTwente UniversityNovember 2015
The slides are available at my profile page in