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New thickness and shape parameters for describing the thermal boundary layerformed by 2-D fluid flow along a heated (cooled) wall are presented. Theparameters are based on probability distribution function methodology in whichthe thermal profile thickness and shape are described by central moments of thethermal profile. The moment based parameters are simple integrals of thetemperature profile. The usefulness of the new method is demonstrated byapplying the description to laminar and turbulent boundary layer datasets.