Self-Similar Intermediate Structures in Turbulent Boundary Layers At Large Reynolds Numbers

Self-similarIntermediateStructures

inTurbulentBoundaryLayers

atLargeReynoldsNumbers

arXiv:math/9908044v1 [math.NA] 10 Aug 1999G.I.Barenblatt,A.J.ChorinDepartmentofMathematicsandLawrenceBerkeleyNationalLaboratoryUniversityofCaliforniaBerkeley,California94720,USAandV.M.ProstokishinP.P.ShirshovInstituteofOceanologyRussianAcademyofSciences36NakhimovProspectMoscow117218,RussiaAbstract.Processingthedatafromalargevarietyofzero-pressure-gradientboundarylayer owsshowsthattheReynolds-number-dependentscalinglaw,whichthepresentauthorsobtainedearlierforpipes,givesanaccuratedescriptionofthevelocitydistributioninaself-similarintermediateregionofdistancesfromthewalladjacenttotheviscoussublayer.The

appropriatelengthscalethatentersthede nitionoftheboundarylayerReynoldsnumberisfoundforallthe owsunderinvestigation.

Anotherintermediateself-similarregionbetweenthefreestreamandthe rstintermedi-ateregionisfoundunderconditionsofweakfreestreamturbulence.Thee ectsofturbulenceinthefreestreamandofwallroughnessareassessed,andconclusionsaredrawn.