Investigation into gas lubrication performance of porous gas bearing considering velocity slip boundary condition

Xiangbo ZHANG; Shuiting DING; Farong DU; Fenzhu JI; Zheng XU; Jiang LIU; Qi ZHANG; Yu ZHOU

doi:10.1007/s40544-021-0503-7

Friction 2022, 10(6): 891-910 https://doi.org/10.1007/s40544-021-0503-7

Research Article |

Open Access | Issue | Published: 05 June 2021

Investigation into gas lubrication performance of porous gas bearing considering velocity slip boundary condition

Show Author's Information Hide Author's Information Xiangbo ZHANG^{¹^,²}, Shuiting DING^{²^,³}, Farong DU^{²^,³}(

), Fenzhu JI^⁴, Zheng XU^{¹^,²}, Jiang LIU^⁴, Qi ZHANG^⁴, Yu ZHOU^{²^,³}(

)

1 School of Energy and Power Engineering, Beihang University, Beijing 100191, China

2 Aircraft/Engine Integrated System Safety Beijing Key Laboratory, Beihang University, Beijing 100191, China

3 Research Institute of Aero-Engine, Beihang University, Beijing 100191, China

4 School of Transportation Science and Engineering, Beihang University, Beijing 100191, China

Keywords:

numerical simulation, flow characteristics, porous gas bearing (PGB), velocity slip boundary (VSB), gas lubrication

Cite this article:

ZHANG X, DING S, DU F, et al. Investigation into gas lubrication performance of porous gas bearing considering velocity slip boundary condition. Friction, 2022, 10(6): 891-910. https://doi.org/10.1007/s40544-021-0503-7

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Abstract

Porous gas bearings (PGBs) have a proactive application in aerospace and turbomachinery. This study investigates the gas lubrication performance of a PGB with the condition of velocity slip boundary (VSB) owing to the high Knudsen number in the gas film. The Darcy-Forchheimer laws and modified Navier-Stokes equations were adopted to describe the gas flow in the porous layer and gas film region, respectively. An improved bearing experimental platform was established to verify the accuracy of the derived theory and the reliability of the numerical analysis. The effects of various parameters on the pressure distribution, flow cycle, load capacity, mass flow rate, and velocity profile are demonstrated and discussed. The results show that the gas can flow in both directions, from the porous layer to the gas film region, or in reverse. The load capacity of the PGB increases with an increase in speed and inlet pressure and decreases with an increase in permeability. The mass flow rate increases as the inlet pressure and permeability increase. Furthermore, the simulation results using VSB are in agreement with the experimental results, with an average error of 3.4%, which indicates that the model using VSB achieves a high accuracy. The simulation results ignoring the VSB overrate the load capacity by 16.42% and undervalue the mass flow rate by 11.29%. This study may aid in understanding the gas lubrication mechanism in PGBs and the development of novel gas lubricants.

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About this article

Investigation into gas lubrication performance of porous gas bearing considering velocity slip boundary condition

Show Author's information Hide Author's Information Xiangbo ZHANG^{¹^,²}, Shuiting DING^{²^,³}, Farong DU^{²^,³}(

), Fenzhu JI^⁴, Zheng XU^{¹^,²}, Jiang LIU^⁴, Qi ZHANG^⁴, Yu ZHOU^{²^,³}(

)

1 School of Energy and Power Engineering, Beihang University, Beijing 100191, China

2 Aircraft/Engine Integrated System Safety Beijing Key Laboratory, Beihang University, Beijing 100191, China

3 Research Institute of Aero-Engine, Beihang University, Beijing 100191, China

4 School of Transportation Science and Engineering, Beihang University, Beijing 100191, China

Abstract

Keywords: numerical simulation, flow characteristics, porous gas bearing (PGB), velocity slip boundary (VSB), gas lubrication

References(59)

[1]

Feng K, Wu Y H, Liu W H, Zhao X Y, Li W J. Theoretical investigation on porous tilting pad bearings considering tilting pad motion and porous material restriction. Precis Eng 53: 26-37 (2018)

DOI Google Scholar

[2]

Wu Y H, Feng K, Zhang Y, Liu W H, Li W J. Nonlinear dynamic analysis of a rotor-bearing system with porous tilting pad bearing support. Nonlinear Dyn 94(2): 1391-1408 (2018)

DOI Google Scholar

[3]

Kumar V. Porous metal bearings—A critical review. Wear 63(2): 271-287 (1980)

DOI Google Scholar

[4]

Sneck H J. A survey of gas-lubricated porous bearings. J Lubr Technol 90(4): 804-809 (1968)

DOI Google Scholar

[5]

Majumdar B C. Gas-lubricated porous bearings: A bibliography. Wear 36(3): 269-273 (1976)

DOI Google Scholar

[6]

Heller S, Shapiro W, Decker O. A porous hydrostatic gas bearing for use in miniature turbomachinery. S L E Trans 14(2): 144-155 (1971)

DOI Google Scholar

[7]

Devitt D, San A L, Jeung SH.Carbon-graphite gas bearings for turbomachinery. In Proceedings of the 30th ASPE Annual Meeting, Hyatt Regency Austin, Austin, USA, 2015: 218-222.

Google Scholar

[8]

Information. https://www.newwayairbearings.com/technology/technical-resources/new-way-techincal-reports/technical-report-6-air-bearings-for-high-power-turbomachinery/, 2014.

[9]

Lee C C, You H I. Geometrical design considerations on externally pressurized porous gas bearings. Tribol Trans 53(3): 386-391 (2010)

DOI Google Scholar

[10]

Lee C C, You H I. Characteristics of externally pressurized porous gas bearings considering structure permeability. Tribol Trans 52(6): 768-776 (2009)

DOI Google Scholar

[11]

Chang C W, Chen C K. Chaotic response and bifurcation analysis of a flexible rotor supported by porous and non-porous bearings with nonlinear suspension. Nonlinear Anal: Real World Appl 10(2): 1114-1138 (2009)

DOI Google Scholar

[12]

Cui H L, Wang Y, Yue X B, Huang M, Wang W. Effects of manufacturing errors on the static characteristics of aerostatic journal bearings with porous restrictor. Tribol Int 115: 246-260 (2017)

DOI Google Scholar

[13]

Cui H L, Wang Y, Yue X B, Huang M, Wang W, Jiang Z Y. Numerical analysis and experimental investigation into the effects of manufacturing errors on the running accuracy of the aerostatic porous spindle. Tribol Int 118: 20-36 (2018)

DOI Google Scholar

[14]

Kurotani Y, Tanaka H. A novel physical mechanism of liquid flow slippage on a solid surface. Sci Adv 6(13): eaaz0504 (2020)

DOI Google Scholar

[15]

Nicoletti R, Silveira Z C, Purquerio B M. Modified Reynolds equation for aerostatic porous radial bearings with quadratic forchheimer pressure-flow assumption. J Tribol 130(3): 031701 (2008)

DOI Google Scholar

[16]

Rao T V V L N, Rani A M A, Awang M, Nagarajan T, Hashim F M. Stability analysis of double porous and surface porous layer journal bearing. Tribol - Mater Surfaces Interfaces 10(1): 19-25 (2016)

DOI Google Scholar

[17]

Prakash J, Gururajan K. Effect of velocity slip in an infinitely long rough porous journal bearing. Tribol Trans 42(3): 661-667 (1999)

DOI Google Scholar

[18]

Kalavathi G K, Dinesh P A, Gururajan K. Influence of roughness on porous finite journal bearing with heterogeneous slip/no-slip surface. Tribol Int 102: 174-181 (2016)

DOI Google Scholar

[19]

Le N T P, Roohi E, Tran T N. Comprehensive assessment of newly-developed slip-jump boundary conditions in high-speed rarefied gas flow simulations. Aerosp Sci Technol 91: 656-668 (2019)

DOI Google Scholar

[20]

Jebauer S, Czerwińska J. Implementation of Velocity Slip and Temperature Jump Boundary Conditions for Microfluidic Devices. Warsaw (Poland): Instytut Podstawowych Problemów Techniki PAN, 2007.

[21]

Su J C T, You H I, Lai J X. Numerical analysis on externally pressurized high-speed gas-lubricated porous journal bearings. Ind Lubr Tribol 55(5): 244-250 (2003)

DOI Google Scholar

[22]

Wang N Z, Chen H Y. A two-stage multiobjective optimization algorithm for porous air bearing design. Tribol Int 93: 355-363 (2016)

DOI Google Scholar

[23]

Jiang S Y, Lin S Y, Xu C D. Static and dynamic characteristics of externally pressurized porous gas journal bearing with four degrees-of-freedom. J Tribol 140(1): 011702 (2018)

DOI Google Scholar

[24]

Cui Y W. Thermal characteristic analysis and rotordynamic experimental study of aerostaticporous journal bearings. Ph.D. Thesis. Changsha (China): Hunan University, 2017.

[25]

Saha N, Majumdar B C. Study of externally-pressurized gas-lubricated two-layered porous journal bearings: A steady state analysis. Proc Inst Mech Eng Part J: J Eng Tribol 216(3): 151-158 (2002)

DOI Google Scholar

[26]

Paidoussis M, Price S, de Langre E. Fluid-structure Interactions. Cambridge (UK): Cambridge University Press, 2009.

DOI

[27]

Ji F Z, Bao Y P, Zhou Y, Du F R, Zhu H J, Zhao S, Li G, Zhu X F, Ding S T. Investigation on performance and implementation of Tesla turbine in engine waste heat recovery. Energy Convers Manag 179: 326-338 (2019)

DOI Google Scholar

[28]

Jin Y Z, Chen F, Xu J M, Yuan X Y. Nonlinear dynamic analysis of low viscosity fluid-lubricated tilting-pad journal bearing for different design parameters. Friction 8(5): 930-944 (2020)

DOI Google Scholar

[29]

Hu Y Q, Meng Y G. Numerical modeling and analysis of plasmonic flying head for rotary near-field lithography technology. Friction 6(4): 443-456 (2018)

DOI Google Scholar

[30]

Lin W. A slip model for rarefied gas flows at arbitrary Knudsen number. Appl Phys Lett 93(25): 253103 (2008)

DOI Google Scholar

[31]

Liang H, Guo D, Luo J B. Film forming behavior in thin film lubrication at high speeds. Friction 6(2): 156-163 (2018)

DOI Google Scholar

[32]

Zhang S H, Qiao Y J, Liu Y H, Ma L R, Luo J B. Molecular behaviors in thin film lubrication—Part one: Film formation for different polarities of molecules. Friction 7(4): 372-387 (2019)

DOI Google Scholar

[33]

Tang Z Q, Zhou D D, Jia T, Pan D, Zhang C W. Investigation of lubricant transfer and distribution at head/disk interface in air-helium gas mixtures. Friction 7(6): 564-571 (2019)

DOI Google Scholar

[34]

Ma L R, Luo J B. Thin film lubrication in the past 20 years. Friction 4(4): 280-302 (2016)

DOI Google Scholar

[35]

Gao M, Li H Y, Ma L R, Gao Y, Ma L W, Luo J B. Molecular behaviors in thin film lubrication—Part two: Direct observation of the molecular orientation near the solid surface. Friction 7(5): 479-488 (2019)

DOI Google Scholar

[36]

Beskok A, Karniadakis G E, Trimmer W. Rarefaction and compressibility effects in gas microflows. J Fluids Eng 118(3): 448-456 (1996)

DOI Google Scholar

[37]

Bailey NY, Hibberd S, Power H. Evaluation of the minimum face clearance of a high-speed gas-lubricated bearing with Navier slip boundary conditions under random excitations. J Eng Math 112(1): 17-35 (2018)

DOI Google Scholar

[38]

Zhang X B, Ding S T, Du F R, Ji F Z, Guo S G. Numerical simulation on aerodynamic performance of ram air turbine based on mixed flow field. In Proceedings of the ASME 2018 International Mechanical Engineering Congress and Exposition, Pittsburgh, PA, USA, 2018: 88304.

DOI Google Scholar

[39]

Zhu J C, Chen H, Chen X D. Large eddy simulation of vortex shedding and pressure fluctuation in aerostatic bearings. J Fluids Struct 40: 42-51 (2013)

DOI Google Scholar

[40]

Wang W, He Y Y, Zhao J, Mao J Y, Hu Y T, Luo J B. Optimization of groove texture profile to improve hydrodynamic lubrication performance: Theory and experiments. Friction 8(1): 83-94 (2020)

DOI Google Scholar

[41]

Leclercq T, de Langre E. Vortex-induced vibrations of cylinders bent by the flow. J Fluids Struct 80: 77-93 (2018)

DOI Google Scholar

[42]

Ji F Z, Zhang X B, Du F R, Ding S T, Zhao Y H, Xu Z, Wang Y, Zhou Y. Experimental and numerical investigation on micro gas turbine as a range extender for electric vehicle. Appl Therm Eng 173: 115236 (2020)

DOI Google Scholar

[43]

Oshkai P, Velikorodny A. Flow-acoustic coupling in coaxial side branch resonators with rectangular splitter plates. J Fluids Struct 38: 22-39 (2013)

DOI Google Scholar

[44]

Lam K, Lin Y F, Zou L, Liu Y. Investigation of turbulent flow past a yawed wavy cylinder. J Fluids Struct 26(7-8): 1078-1097 (2010)

DOI Google Scholar

[45]

Zhang W M, Yan H, Peng Z K, Meng G. Finite volume modeling of gas flow in microbearings with rough surface topography. Tribol Trans 59(1): 99-107 (2016)

DOI Google Scholar

[46]

Ji F Z, Pan Y, Zhou Y, Du F R, Zhang Q, Li G. Energy recovery based on pedal situation for regenerative braking system of electric vehicle. Veh Syst Dyn 58(1): 144-173 (2020)

DOI Google Scholar

[47]

Cha M, Glavatskih S. Nonlinear dynamic behaviour of vertical and horizontal rotors in compliant liner tilting pad journal bearings: Some design considerations. Tribol Int 82: 142-152 (2015)

DOI Google Scholar

[48]

Wu Y H. Theoretical analysis and experimental investigation on rotordynamic performance of a rigid rotor supported on porous tiliting pad bearings. Ph.D. Thesis. Changsha (China): Hunan University, 2019.

[49]

Cui H L. Study on the influence mechanism of the dynamic characteristics of porous aerostatic bearings. Ph.D. Thesis. Mianyang (China): China Academy of Engineering Physics, 2018.

[50]

Wu Y S, Pruess K, Persoff P. Gas flow in porous media with klinkenberg effects. Transp Porous Media 32(1): 117-137 (1998)

DOI Google Scholar

[51]

Joseph J, Kuntikana G, Singh D N. Investigations on gas permeability in porous media. J Nat Gas Sci Eng 64: 81-92 (2019)

DOI Google Scholar

[52]

Balasoiu A M, Braun M J, Moldovan S I. A parametric study of a porous self-circulating hydrodynamic bearing. Tribol Int 61: 176-193 (2013)

DOI Google Scholar

[53]

Zhou Y, Xing T, Song Y, Li Y J, Zhu X F, Li G, Ding S T. Digital-twin-driven geometric optimization of centrifugal impeller with free-form blades for five-axis flank milling. J Manuf Syst 58: 22-35 (2021)

DOI Google Scholar

[54]

Wu J, Wen B, Zhou Y, Zhang Q, Ding S T, Du F R, Zhang S G. Eddy current sensor system for blade tip clearance measurement based on a speed adjustment model. Sensors 19(4): 761 (2019)

DOI Google Scholar

[55]

Xu Z, Ji F Z, Ding S T, Zhao Y H, Zhang X B, Zhou Y, Zhang Q, Du F R. High-altitude performance and improvement methods of poppet valves 2-stroke aircraft diesel engine. Appl Energy 276: 115471 (2020)

DOI Google Scholar

[56]

Zhou Y, Shao L T, Zhang C, Ji F Z, Liu J, Li G, Ding S T, Zhang Q, Du F R. Numerical and experimental investigation on dynamic performance of bump foil journal bearing based on journal orbit. Chinese J Aeronaut 34(2): 586-600 (2021)

DOI Google Scholar

[57]

Hsu T C, Chen J H, Chiang H L, Chou T L. Lubrication performance of short journal bearings considering the effects of surface roughness and magnetic field. Tribol Int 61: 169-175 (2013)

DOI Google Scholar

[58]

Xu Z, Ji F Z, Ding S T, Zhao Y H, Zhou Y, Zhang Q, Du F R. Digital twin-driven optimization of gas exchange system of 2-stroke heavy fuel aircraft engine. J Manuf Syst 58: 132-145 (2021)

DOI Google Scholar

[59]

Information. https://www.iso.org/standard/50461.html, 1995.

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Acknowledgements

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Publication history

Received: 19 August 2020

Revised: 27 January 2021

Accepted: 17 February 2021

Published: 05 June 2021

Issue date: June 2022

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Acknowledgements

This study was funded by the National Natural Science Foundation of China (Grant Nos. 51775025 and 51175018), China Automobile Industry Innovation and Development Joint Fund (Grant No. U1664257), China Key Research and Development plan (Grant Nos. 2017YFB0102102 and 2018YFB0104100), and the Beijing Natural Science Foundation (Grant No. 3113030).

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