平行板微管道间maxwell流体非定常电渗流动

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1、UnsteadyelectroosmoticflowofMaxwellfluidsthroughaparallelplatemicro—channelAbstractMicrofluidflowistheprobleminthemicroscalepipeline，whichiswidelyusedintheareaofphysics，biology,chemistryandSOon．Usuallytheionintheelectrolytesolutionandmicroinpipewallareprocudedbytheinteraction

2、andeventuallyformelectricdoublelayer(EDL)．Bytheinfluenceoftheextranalelectricfield，thefreeionswillmovetonearbymotionoffluidparticlesastheviscosityofthefluid，eventuallytheelectroosmoticflow(EOF)forms．ThestudyaboutEOFofNewtonianfluidhasbecomeamaturetechnologyintheoryandexperime

3、nt．Inthispaper，werepresentananalyticalsolutionoftransientvelocityforunsteadyelectroosmoticflowofMaxwellfluidsthroughmicro—parallelchannelusingthemethodofLaplacetransform．TheconstitutiverelationsoflinearviscoelasticissimulatedbythemodelofMaxwellfluids．Wesolvetheproblemincludin

4、gthelinearizedPoisson—Boltzmannequation，theCauchymomentumequationandMaxwellconstitutiveequation．WeanalyzeelectroosmoticflowvelocitybytheinfluenceofdimensionlessReynoldsnumber,RelaxationtimeandelectricwidthK．Wegetthesemi—analyticalsolutionsbyinverseLaplacenumericalcalculationi

5、nparallelplatemicro—channel．IIITheresultsshowthatthevelocityofMaxwellfluidsstronglydependsonrelaxationtime五anddimensionlesstimeidrivenbyDirectcullrem(DC)．W汕theincreasingofrelaxationtime，thefluidtendstobesteadyandslowDCEOF．Withtheincreasingofdimensionlesstime；，thevelocityofele

6、ctroosmoticflowtendstobesteadyDCEOEvelocityofDCEOFismainlyconcentratedinaslitarea．velocityofMaxwellfluidsstronglydependsonrelaxationtime，ReynoldsnumberanddimensionlesstimeTdrivenbyAlternatingCurrent(AC)．ForthegivenReynoldsnumber,thevelocityamplitudechangesfastastheincreasingo

7、frelaxationtime五．Forthegivenrelaxationtime，thevelocityamplitudechangesfastastheincreasingofReynoldsnumber．ThevelocityofACEOFchangesobviousinthegivenrelaxationtime五thatthevelocityamplitudeincreaseswiththedimensionlesstime／-．ThevelocityofACEOFispresentedperiodicchangeandtheshar

8、pflucttuation．velocityofMaxwellfluidsstronglydependsonrelaxationtime