Thescalingandsimilarityofwallboundedturbulentflowwerestudied.Thepropertiesofsuchflowsandtherelationshipbetweenapowerlawandalogarithmictypeofvelocitydistributionwereinvestigated.Basedonthephysicalmechanisminvolved,ourresultsshowthatthepowerlawandthelogarithmicdistributionareonlydifferentformswiththesamehypothesisandholdonlyintheouterflowzone.Thus,auniversalexplanationforvariousempiricalformulaeofvelocitydistributionwasobtained.Manning’sformulawasstudiedtoexplaintheoreticallytheexperientialresultthattheroughnesscoefficientisonlyacomprehensiveparameterofthewholesystemwithoutacorrespondingphysicalfactor.Thephysicalmechanismofthevelocitydistributionofparalleltowallboundedflowwasexplored,theresultsshowthattheparametersintheformulaofvelocitydistributionareindicesofthesystemrespondingtoflowingenvironmentalfactorstorepresentgeneralcaseofboundaryroughnessandtheflowingstate,correspondingphysicalmechanismisvortexmotion.
