Determining Effective Thermal Conductivity of Fabrics.pdf

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1、IntJThermophys(2010)31:612619DOI10.1007/s10765-010-0741-9DeterminingEffectiveThermalConductivityofFabricsbyUsingFractalMethodFanglongZhu·KejingLiReceived:15October2009/Accepted:14April2010/Publishedonline:6May2010©SpringerScience+BusinessMedia,LLC2010AbstractInthisarticl

2、e,afractaleffectivethermalconductivitymodelforwovenfabricswithmultiplelayersisdeveloped.Structuralmodelsofyarnandplainwovenfabricarederivedbasedonthefractalcharacteristicsofmacro-pores(gaporchannel)betweentheyarnsandmicro-poresinsidetheyarns.Thefractaleffectivethermalcon

3、-ductivitymodelcanbeexpressedasafunctionoftheporestructure(fractaldimension)andarchitecturalparametersofthewovenfabric.Goodagreementisfoundbetweenthefractalmodelandthethermalconductivitymeasurementsinthegeneralporos-ityranges.Itisexpectedthatthemodelwillbehelpfulintheeva

4、luationofthermalcomfortforwovenfabricinthewholerangeofporosity.KeywordsFabrics·Fractal·Fractaldimension·Thermalconductivity1IntroductionTheeffectivethermalconductivityandmoisturetransfercharacteristicsofsinglelayerormultilayeredfabricsaregreatlyrelatedtothecomfortofcloth

5、ing[13].Asiswidelyknown,heatconductioninporousmaterialssuchasfabricsisusuallydescribedmac-roscopicallybyaveragingthemicroscopicheattransferprocessesoverarepresen-tativeelementaryvolume[46].Therefore,someheatconductionmodelshavebeenproposedtocalculatetheeffectivethermalco

6、nductivityforfabricsandotherporousmediabasedontheporosityaveragemethod[710].However,thedisorderedandhet-erogeneousinnerstructurewillresultinagreaterrorinthepredictionoftheeffectivethermalconductivityasaresultoftheutilizationoftheaveragevolumetricporosity.F.Zhu(B)·K.LiCol

7、legeofTextileandClothing,ZhongyuanUniversityofTechnology,450007Zhengzhou,PeoplesRepublicofChinae-mail:pigzhu7979@163.com123IntJThermophys(2010)31:612619613Thefabricmicrostructuresrevealaconsiderablydisordereddistributionofwefts,warps,andchannels(orgaps)duetothein-planedi

8、splacementwhenmultiplelayersoffabricsarestackedtogether[11].Theseporesandtheirstructuraldistributionsar