Computational Tribology Introduction
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Presented at Twente University (2015/11/23)
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Computational Tribology Introduction
- 1. Introduction to Computational Tribology: Contact Pairs Modeling Xavier Borras Twente University November 2015 The slides are available at my profile page in
- 2. 3. Collar 2. Fluid 1. Pad Tribological Contact Pairs
- 3. Escriba aquí la ecuación.3. Collar 2. Fluid 1. Pad Thin Film Flow: Reynolds PDE 𝜕 𝜕𝑥 𝜌ℎ3 12𝜂 𝜕𝑝 𝜕𝑥 = 𝑈 2 𝜕 𝜕𝑥 (𝜌ℎ) gap height velocity density viscosity pressure 1. Fluid Cavitation 2. Non-Newtonian Fluid 3. Density = f(Temp, Pressure) 4. Viscosity = f(Temp, Pressure) 5. Homogenization Techniques 6. Fluid Starvation 7. Time dependent 𝑝 𝑝: 𝐻𝑦𝑑𝑟𝑜𝑑𝑦𝑛𝑎𝑚𝑖𝑐 𝑃𝑟𝑒𝑠𝑠𝑢𝑟𝑒 τ 𝑥: 𝐹𝑙𝑢𝑖𝑑 𝑆ℎ𝑒𝑎𝑟 𝑆𝑡𝑟𝑒𝑠𝑠 𝑣 𝑥: 𝐹𝑙𝑢𝑖𝑑 𝑉𝑒𝑙𝑜𝑐𝑖𝑡𝑦 𝐹𝑖𝑒𝑙𝑑 𝑞 𝑥: 𝐹𝑙𝑢𝑖𝑑 𝐹𝑙𝑜𝑤 𝑅𝑎𝑡𝑒 𝑄 𝑥: 𝑆ℎ𝑒𝑎𝑟 𝐻𝑒𝑎𝑡𝑖𝑛𝑔
- 4. 3. Collar 2. Fluid 1. Pad Lubrication Regimes NO CONTACTCONTACT DRY WET FULL FILM LUBRICATION
- 5. 3. Collar 2. Fluid 1. Pad Lubrication Regimes NO CONTACTCONTACT DRY WET FULL FILM LUBRICATION
- 6. 3. Collar 2. Fluid 1. Pad Lubrication Regimes NO CONTACTCONTACT DRY WET FULL FILM LUBRICATION Gap Height No Contact ModelContact Model Asperities Reynolds PDE Modified Reynolds + Homogenization + Starvation No Reynolds Fluid Film
- 7. 3. Collar 2. Fluid 1. Pad HL Hydrodynamic Lubrication model - Reynolds PDE Computational Models Coupling 𝑃 𝐻𝐷Reynolds PDE ℎ, 𝑈, μ 𝑓𝑙𝑢𝑖𝑑, ρ 𝑓𝑙𝑢𝑖𝑑 + 𝐵𝐶(…) 𝑈 𝑝 ℎ
- 8. 3. Collar 2. Fluid 1. Pad HL Hydrodynamic Lubrication model - Reynolds PDE EHL ElastoHydrodynamic Lubrication model - Reynolds PDE - Linear Elastic Linear Elastic 𝑢 𝐸, ν + 𝐵𝐶(𝑃 𝐻𝐷, … ) Computational Models Coupling Degree 𝑝 𝑃 𝐻𝐷Reynolds PDE ℎ, 𝑈, μ 𝑓𝑙𝑢𝑖𝑑, ρ 𝑓𝑙𝑢𝑖𝑑 + 𝐵𝐶(…) 𝑈 𝑝 ℎ
- 9. 3. Collar 2. Fluid 1. Pad HL Hydrodynamic Lubrication model - Reynolds PDE EHL ElastoHydrodynamic Lubrication model - Reynolds PDE - Linear Elastic TEHL Thermal ElastoHydrodynamic Lubrication model - Reynolds PDE - Linear Elastic - Heat Balance Computational Models Coupling Degree 𝑝 𝑈 𝑃 𝐻𝐷Reynolds PDE ℎ, 𝑈, μ 𝑓𝑙𝑢𝑖𝑑, ρ 𝑓𝑙𝑢𝑖𝑑 + 𝐵𝐶(…) Linear Elastic 𝑢 𝐸, ν + 𝐵𝐶(𝑃 𝐻𝐷, … ) 𝑇Heat Balance 𝑘, 𝐶 𝑝, ρ,𝛼 + 𝐵𝐶(𝑃 𝐻𝐷, … ) ℎ
- 10. 3. Collar 2. Fluid 1. Pad Spring-supported Thrust Bearings THRUST BEARING
- 11. 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 𝜌ℎ3 12𝜂 𝜕𝑝 𝜕𝑥 = 𝑈 2 𝜕 𝜕𝑥 (𝜌ℎ) gap height velocity density viscosity pressure
- 12. 3. Collar 2. Fluid 1. Pad Spring-supported Thrust Bearings Pressure on the Gap Pad TemperatureFluid Film Thickness PAD COLLAR FLUID
- 13. 3. Collar 2. Fluid 1. Pad Stern Tube Seals: Rotary Seals
- 14. 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.
- 15. Introduction to Computational Tribology: Contact Pairs Modeling Xavier Borras Twente University November 2015 The slides are available at my profile page in