Theoretical analysis of droplet transition from Cassie to Wenzel state

(整期优先)网络出版时间:2015-11-21
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WhetherdropletstransitfromtheCassietotheWenzelstate(C–W)onatexturedsurfaceisthetouchstonethatthesuperhydrophobicityofthesurfaceisstillmaintained.However,theC–Wtransitionmechanism,especiallythespontaneoustransitionofsmalldroplets,isstillnotverycleartodate.TheinterfacefreeenergygradientofasmalldropletisfirstlyproposedandderivedasthedrivingforceforitsC–Wevolutioninthisstudybasedontheenergyandgradientanalysis.ThenthephysicalandmathematicalmodeloftheC–WtransitionisfoundaftertheC–Wdrivingforceortransitionpressure,theresistance,andtheparametersofthemeniscusbeneaththedropletareformulated.Theresultsshowthatthemicro/nanostructuralparameterssignificantlyaffecttheC–Wdrivingforceandresistance.Thesmallerthepillardiameterandpitch,theminortheC–Wtransitionpressure,andthelargertheresistance.Consequently,theC–Wtransitionisdifficulttobecompletedforthedropletsonnano-texturedsurfaces.Meanwhileifthepostsaretooshort,thefrontofthecurvedliquid–airinterfacebelowthedropletwilltouchthestructuralsubstrateeasilyeventhoughthethreephasecontactline(TPCL)hasnotdepinned.Whenthepostsarehighenough,theTPCLbeneaththedropmustmovefirstlybeforethemeniscuscanreachthesubstrate.Asaresult,thedropletonatexturedsurfacewithshortpillarsiseasytocompleteitsC–Wevolution.Ontheotherhand,thesmallerthedroplet,theeasiertheC–Wshift,sincethetransitionpressurebecomeslarger,whichwellexplainswhyanevaporatingdropwillcollapsespontaneouslyfromcompositetoWenzelstate.Besides,bothintrinsicandadvancingcontactanglesaffecttheC–Wtransitionaswell.Thegreaterthetwoangles,thehardertheC–Wtransition.Intheend,theC–Wtransitionparametersandthecriticalconditionsmeasuredinliteraturesarecalculatedandcompared,andthecalculationsaccordwellwiththeexperimentalresults.