AnanalyticalsolutionofvelocityprofilesforNon-Newtonianfluidsdescribedbythepower-lawequationinaxiallaminarflowthrougheccentricannuliispresented.Theexpressionsoflimitvelocitiesandcontoursofequalvelocityareobtained.Themainapproaches,claimedinthispaper,arethatthetermTrz/rinthedifferentialequationofflowandthenon-symmetricalvelocitydistributionaboutthegeometriccenteroftheradialclearanceareconsidered.