An alternate composite representation of the velocity profile in the zpg turbulent boundary layer

TL;DR

This paper introduces a new composite model for the turbulent boundary layer velocity profile, combining a universal law of the wall with a smooth transition to the outer flow, validated against DNS and experimental data.

Contribution

It presents a novel composite representation that accurately models the velocity profile in turbulent boundary layers, integrating recent interpolation methods with a simple analytical transition.

Findings

The model fits DNS and experimental data well.

It provides insights into the asymptotic approach of velocity to its inviscid value.

The approach enhances understanding of turbulent boundary layer behavior.

Abstract

A composite representation of the turbulent boundary-layer velocity profile is proposed, which combines a recently determined accurate interpolation of the universal law of the wall with a simple analytical expression of the smooth transition of velocity to a constant value in the outer stream. Several examples are given of application of this representation to DNS and experimental data from the literature, and a conjecture is offered for the asymptotic approach of the velocity to its constant inviscid value.