2010 Simplified model of Reynolds equation with linearized flow rate for ultra-thin gas film lubrication in hard disk drives英文文献资料

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1、MicrosystTechnol(2010)16:1727–1734DOI10.1007/s00542-010-1107-8TECHNICALPAPERSimplifiedmodelofReynoldsequationwithlinearizedflowrateforultra-thingasfilmlubricationinharddiskdrivesBao-JunShi•Ting-YiYangReceived:5December2009/Accepted:1June2010/Publishedonline:13June20

2、10ÓSpringer-Verlag2010AbstractInaharddiskdrive(HDD),whenthespacingGuptaandBogy2005;Shietal.2009).Becauseofthebetweentheflyingheadandtherotatingdiskapproximatesextremelynarrowspacingbetweenthesliderandthedisk,themolecularmean-freepathorless,thegasdynamicsthegasinth

3、espacing(microscopiclevelgasflow)iscannotbedescribedfromthecontinuumtransporttheoryextremelyrarefiedandthegasmoleculesatasolidsur-directly,andthegaseousrarefactioneffectsmustbetakenfacenolongerexperiencethesamevelocityasthesolidintoaccountinthiscase.Inthispaperwest

4、artfromasurfacedoes,i.e.,thereisslipping.TheconvectionalwidelyusedFKmodelofReynoldsequationandproposealubricationtheory(macroscopiclevelgasflow)developedsimplifiedmodel,calledlinearizedflowrateReynoldsforgasbearingscannotbeappliedtothesetypesofequation,tosimulatethe

5、ultra-thingasfilmlubricationinbearingsincethefluidinsidethegasfilmcannotbeHDDs.Weuseapiecewisecontinuouslinearfunctiontotreatedstrictlyasacontinuum.Therefore,whentheapproximatetheflowrate.ThissimplifiedmodelofRey-spacingbetweentheflyinghead/sliderandtherotatingnoldsequ

6、ationpossessessimplermathematicalformthandiskapproximatesthemolecularmean-freepathorless,thatofFKmodel.Thissimplifiedmodelissolvedbyusingthegasdynamicscannotbedescribedfromthecontinuumthefinitevolumemethodandtheresultantnumericaltransporttheorydirectly,andthegaseou

7、srarefactionsolutionsarecomparedwiththoseofFKmodel.Wefindeffectsmustbetakenintoaccountinthiscase(Bhushanthattheirnumericalresultsofthesetwomodelsareinvery1990;Grossetal.1980).goodagreementwithverysmallrelativeerrors,whiletheThemicroscopiclevelgasflowistypicallyclas

8、sifiedsimplifiedmodelhashighercomputationalefficiencythanintofourflowregimesaccordingtotheirKnudsennumber,thatofFKmodel.whichisdefinedastheratioofthemolecularmeanfr