Theaimofthispaperistopresentananalyticalexpressionforthestreamwisevelocitydistributioninanon-uniformflowinthepresenceofwaves;thecorrelationbetweenthehorizontalandverticalvelocitycomponentshasbeencomprehensivelyexamined.Differentfrompreviousresearcheswhichattributedthedeviationofvelocityfromtheclassicallog-lawtothewaveReynoldsstress,i.e.-ρ(uv)only,thisstudydemonstratesthatthemomentumfluxcausedbymeanvelocities,i.e.,(u)and(v),isalsoresponsibleforthevelocitydeviation,anditisfoundthatthestreamwisevelocityforaflowinthepresenceofnon-zerowall-normalvelocitydoesnotfollowtheclassicallog-law,butthemodifiedlog-lawproposedinthisstudybasedonsimplifiedmixing-lengththeorem.Thevalidityofthemodifiedlog-lawhasbeenverifiedbyuseofavailableexperimentaldatafrompublishedsourcesforcombinedwave-currentflows,andgoodagreementbetweenthepredictedandobservedvelocityprofileshasbeenachieved.
