简介：Asymmetrictree-likebranchednetworksareexploredbygeometricalgorithms.Basedonthenetwork,ananalysisofthethermalconductivityispresented.Therelationshipbetweeneffectivethermalconductivityandgeometricstructuresisobtainedbyusingthethermal-electricalanalogytechnique.Inallstudiedcases,aclearbehaviourisobserved,whereangle(δ,θ)amongparentbranchingextendedlines,branchesandparameterofthegeometricstructureshavestrongereffectsontheeffectivethermalconductivity.Whentheangleδisfixed,theopticaldiameterratioβisdependentonangleθ.Moreover,γandmarenotrelatedtoβ.Thelongerthebranchis,thesmallertheeffectivethermalconductivitywillbe.Itisalsofoundthatwhentheangleθ<δ/2,thehighertheiterationmis,thelowerthethermalconductivitywillbeandittendstozero,otherwise,itisbiggerthanzero.Whenthediameterratioβ1<0.707andangleδisbigger,theoptimalkoftheperfectratioincreaseswiththeincreaseoftheangleδ;whenβ1>0.707,theoptimalkdecreases.Inaddition,theeffectivethermalconductivityisalwayslessthanthatofsinglechannelmaterial.Thepresentresultsalsoshowthattheeffectivethermalconductivityoftheasymmetrictree-likebranchednetworksdoesnotobeyMurray'slaw.