New thickness and shape parameters for describing the thermal boundary layer

TL;DR

This paper introduces new parameters based on probability distribution functions to describe the thermal boundary layer's thickness and shape, providing a simple integral-based method applicable to both laminar and turbulent flows.

Contribution

It presents novel moment-based parameters for thermal boundary layer characterization, enhancing simplicity and applicability over existing methods.

Findings

Parameters effectively describe thermal boundary layer profiles.

Method applicable to laminar and turbulent boundary layers.

Demonstrated usefulness with real datasets.

Abstract

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