Abstract
This work investigates the dynamic behavior of finite hydrodynamic journal bearings lubricated by ferrofluids based on the Shliomis model that considers the rotational viscosity effects of ferromagnetic particles and their magnetic moment. A finite wire located out of the journal bearing system produces the applied magnetic field. The pressure field is computed by solving the modified Reynolds equation, obtained from Navier–Stokes equations for this kind of fluids, to evaluate the journal bearing dynamic characteristics. The evaluation of dynamic coefficients is based on the numerical perturbation approach. These allow obtaining the whirling frequency, critical mass and the threshold speed to determine the stability zone of the journal bearing. The resolution method is first validated in the particular case of a Newtonian fluid. Excellent agreement with the numerical results from the literature was observed.
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References
Lund JW, Thomsen KK (1978) A calculation method and data for the dynamic coefficients of oil lubricated journal bearings. Topics in Fluid Film Bearing and Rotor Bearing System Design and Optimization, ASME, New York, 1–28
Ebrat O, Mourelatos ZP, Hu K, Vlahopoulos N, Vaidyanathan K (2004) Calculation of journal bearing dynamic characteristics including journal misalignment and bearing structural deformation. Trib Trans 47:94–102. https://doi.org/10.1080/05698190490278994
Zheng T, Hasebe N (2000) Calculation of equilibrium position and dynamic coefficients of a journal bearing using free boundary theory. ASME J of Tribo 122:616–621. https://doi.org/10.1115/1.555410
Hekmat MH, Biukpour GA (2019) Numerical study of the oil whirl phenomenon in a hydrodynamic journal bearing. J Braz Soc Mech Sci Eng 41:218. https://doi.org/10.1007/s40430-019-1724-9
Rao TVVLN, Rani AMA, Awang M, Hashim FM (2017) Stability evaluation of three-layered journal bearing with slip/partial slip. Indus Lubri and Tribo 69(3):334–341. https://doi.org/10.1108/ILT-08-2016-0184
Singhal AK, Athavale MM, Li H, Jiang Y (2002) Mathematical basis and validation of the full cavitation model. ASME J Fluids Eng 124(3):617–624. https://doi.org/10.1115/1.1486223
Chen Y, Feng J, Sun Y, Peng X, Dai Q, Yu C (2020) Effect of groove shape on the hydrodynamic lubrication of journal bearing considering cavitation. Eng Comput 37(5):1557–1576. https://doi.org/10.1108/EC-06-2019-0287
Meng F, Yang T (2013) Preliminary study on mechanism of cavitation in lubricant of textured sliding bearing. Proc. Inst. Mechanical Eng. Part J: J. Eng. Tribol. 227(7):695–708. https://doi.org/10.1177/1350650112468560
Huang W, Wang X (2015) Ferrofluids lubrication: a status report. Lubri Sci 28(1):3–26. https://doi.org/10.1002/ls.1291
Martinez L, Cecelja F, Rakowski R (2005) A novel magneto-optic ferrofluid material for sensor applications. Sens and Actua A 123–124:438–443. https://doi.org/10.1016/j.sna.2005.05.003
Bajkowski J, Nachman J, Shillor M, Sofonea M (2008) A model for a magnetorheological damper. Math Comput Model 48:56–68. https://doi.org/10.1016/j.mcm.2007.08.014
Philip J, Jaykumar T, Kalyanasundaram P, Raj B (2003) A tunable optical filter. Meas Sci Technol 14:1289–1294. https://doi.org/10.1088/0957-0233/14/8/314
Zhang P, Gu B, Zhou J, Wei L (2018) On hydrodynamic lubrication characteristics of ferrofluid film in a spiral groove mechanical seal. Indus Lubri and Tribo 70(9):1783–1797. https://doi.org/10.1108/ILT-07-2017-0186
Soltanipour H, Gharegöz A, Oskooee MB (2020) Numerical study of magnetic field effect on the ferrofluid forced convection and entropy generation in a curved pipe. J Braz Soc Mech Sci Eng 42:135. https://doi.org/10.1007/s40430-020-2218-5
Zeng J, Deng Y, Vedantam P, Tzeng TR, Xuan X (2013) Magnetic separation of particles and cells in ferrofluid flow through a straight microchannel using two offset magnets. J of Magn and Magn Mater 346:118–123. https://doi.org/10.1016/j.jmmm.2013.07.021
Vékás L, Raşa M, Bica D (2000) Physical properties of magnetic fluids and nanoparticles from magnetic and magneto-rheological measurements. J of Coll and Inter Sci 231:247–254. https://doi.org/10.1006/jcis.2000.7123
Bompos DA, Nikolakopoulos PG (2016) Rotordynamic analysis of a shaft using magnetorheological and nanomagnetorheological fluid journal bearings. Tribo Trans 59(1):108–111. https://doi.org/10.1080/10402004.2015.1050137
Osman TA, Nada GS, Safar ZS (2001) Static and dynamic characteristics of magnetized journal bearings lubricated with ferrofluids. Tribo Inter 34:369–380. https://doi.org/10.1016/S0301-679X(01)00017-2
Laghrabli S, El Khlifi M, Nabhani M, Bou-saïd B (2017) Static characteristics of ferrofluid finite journal bearing considering rotational viscosity effect. Lubri Sci 29(4):203–226. https://doi.org/10.1002/ls.1364
Laghrabli S, El Khlifi M, Nabhani M, Bou-saïd B (2017) Ferrofluid lubrication of finite journal bearings using Jenkins model. Lubri Sci 29(7):441–454. https://doi.org/10.1002/ls.1379
Patel NS, Vakharia D, Deheri G (2017) Hydrodynamic journal bearing lubricated with a ferrofluid. Indus Lubri and Tribo 69(5):754–760. https://doi.org/10.1108/ILT-08-2016-0179
Wang X, Li H, Lu W (2017) Stiffness and damping properties of (semi) floating ring bearing using magnetorheological fluids as lubricant. J Tribol 139(5):05170. https://doi.org/10.1115/1.4035773
Shliomis MI (1972) Effective viscosity of magnetic suspensions. Soviet Phys 34(6):1291–1294
Shliomis MI (1974) Magnetic fluids. Sov Phys 17:153–169. https://doi.org/10.1070/PU1974v017n02ABEH004332
Montazeri H (2009) Numerical analysis of hydrodynamic journal bearings lubricated with ferrofluid. Intelli Mater Syst and Struc 222(1):51–60. https://doi.org/10.1243/13506501JET314
Niklas M (1987) Influence of magnetic field on Taylor vortex formation in magnetic fluid. Z.Phys. B-Condensed Matter 68:493–501. https://doi.org/10.1007/BF01471080
Christopherson DG (1941) A new mathematical method for the solution of film lubrication problems. Procee of the Insti of Mecha Eng 146(1):126–135. https://doi.org/10.1243/PIME_PROC_1941_146_027_02
Lund JW (1964) Spring and damping coefficients for the tilting pad journal bearing. ASLE Trans 7:342–352. https://doi.org/10.1080/05698196408972064
Lin JR, Li PJ, Hung TC (2013) Effects of non-newtonian ferrofluids on the performance characteristics of long journal bearings. Flui Dyna and Mater Proc 9(4):419–434. https://doi.org/10.3970/fdmp.2013.009.419
Tipei N (1983) Overall characteristics of bearings lubricated with ferrofluids. ASME Lubri Techno 105(3):466–475. https://doi.org/10.1115/1.3254645
Frêne J, Nicolas D, Degueurce B, Berthe D, Godet M (1997) Dynamic characteristics of journal bearings. Dowson, D. (Eds), Hydrodynamic Lubrication: Bearings and Thrust Bearings, Elsevier Science, Great Britain. 172–211. ISBN:978–0–08–053431–2
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Atlassi, K., Nabhani, M. & Khlifi, M.E. Rotational viscosity effect on the stability of finite journal bearings lubricated by ferrofluids. J Braz. Soc. Mech. Sci. Eng. 43, 548 (2021). https://doi.org/10.1007/s40430-021-03264-2
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DOI: https://doi.org/10.1007/s40430-021-03264-2