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난류 유동을 갖는 가스 포일 스러스트 베어링의 성능 예측

Performance Predictions of Gas Foil Thrust Bearings with Turbulent Flow

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초록

Gas foil thrust bearings (GFTBs) support axial loads in oil-free, high speed rotating machinery using air or gas as a lubricant. Due to the inherent low viscosity of the lubricant, GFTBs often have super-laminar flows in the film region at operating conditions with high Reynolds numbers. This paper develops a mathematical model of a GFTB with turbulent flows and validates the model predictions against those from the literature. The pressure distribution, film thickness distribution, load carrying capacity, and power loss are predicted for both laminar and turbulent flow models and compared with each other. Predictions for an air lubricant show that the GFTB has high Reynolds numbers at the leading edge where the film thickness is large and relatively low Reynolds numbers at the trailing edge. The predicted load capacity and power loss for the turbulent flow model show little difference from those for the laminar flow model even at the highest speed of 100 krpm, because the Reynolds numbers are smaller than the critical Reynolds number. On the other hand, refrigerant (R-134a) lubricant, which has a higher density than air, had significant differences due to high Reynolds numbers in the film region, in particular, near the leading and outer edges. The predicted load capacity and power loss for the turbulent flow model are 2.1 and 2.3 times larger, respectively, than those for the laminar flow model, thus implying that the turbulent flow greatly affects the performance of the GFTB.

Abstract

Gas foil thrust bearings (GFTBs) support axial loads in oil-free, high speed rotating machinery using air or gas as a lubricant. Due to the inherent low viscosity of the lubricant, GFTBs often have super-laminar flows in the film region at operating conditions with high Reynolds numbers. This paper develops a mathematical model of a GFTB with turbulent flows and validates the model predictions against those from the literature. The pressure distribution, film thickness distribution, load carrying capacity, and power loss are predicted for both laminar and turbulent flow models and compared with each other. Predictions for an air lubricant show that the GFTB has high Reynolds numbers at the leading edge where the film thickness is large and relatively low Reynolds numbers at the trailing edge. The predicted load capacity and power loss for the turbulent flow model show little difference from those for the laminar flow model even at the highest speed of 100 krpm, because the Reynolds numbers are smaller than the critical Reynolds number. On the other hand, refrigerant (R-134a) lubricant, which has a higher density than air, had significant differences due to high Reynolds numbers in the film region, in particular, near the leading and outer edges. The predicted load capacity and power loss for the turbulent flow model are 2.1 and 2.3 times larger, respectively, than those for the laminar flow model, thus implying that the turbulent flow greatly affects the performance of the GFTB.

참고문헌 (14)

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  6. 김태호, "가스 포일 스러스트 베어링의 하중지지 성능 및 구동 토크에 관한 실험적 연구", 한국트라이볼로지학회지, 31(4), pp.141~147 (2015), 한국트라이볼로지학회[DOI]
  7. Kim, T. H., "Design Optimiza-tion of Gas Foil Thrust Bearings for Maximum Load Capacity", J. Tribol., 139(3), pp.031705~ (2017)
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  10. 문진혁, "난류 유동을 갖는 가스 포일 스러스트 베어링의 성능 예측", 한국트라이볼로지학회지, 35(5), pp.300~309 (2019), 한국트라이볼로지학회[DOI]
  11. San Andres, L., "Turbulent Flow Foil Bearings for Cryo-genic Applications", J. Tribol., 117(1), pp.185~195 (1995)
  12. Hirs, G. G., "A Bulk-Flow Theory for Turbulence in Lubricant Films", J. Lubr. Tech., 95(2), pp.137~145 (1973)
  13. Smith, M. I., "Journal Bearing Opera-tion at Super Laminar Speeds", Trans. ASME, 78(Part 3), pp.469~474 (1956)
  14. Constantinescu, V. N., "On Turbulent Lubrication", Proc. Inst. Mech. Eng., 173(1), pp.881~900 (1959)

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