Working Paper Article Version 1 This version is not peer-reviewed

# Revisiting and Revising Tatarskii’s Formulation for the Temperature Structure Parameter ($C_T^2$) in Atmospheric Flows

Version 1 : Received: 20 May 2021 / Approved: 21 May 2021 / Online: 21 May 2021 (09:41:42 CEST)

How to cite: Basu, S.; Holtslag, A.A.M. Revisiting and Revising Tatarskii’s Formulation for the Temperature Structure Parameter ($C_T^2$) in Atmospheric Flows. Preprints 2021, 2021050511 Basu, S.; Holtslag, A.A.M. Revisiting and Revising Tatarskii’s Formulation for the Temperature Structure Parameter ($C_T^2$) in Atmospheric Flows. Preprints 2021, 2021050511

## Abstract

In this paper, we revisit a well-known formulation of temperature structure parameter ($C_T^2$), originally proposed by Tatarskii. We point out its limitations and propose a revised formulation based on turbulence variance and flux budget equations. Our formulation includes a novel physically-based outer length scale which can be estimated from routine meteorological data.

## Subject Areas

Bolgiano scaling; buoyancy-range; inertial-range; optical turbulence; outer length scale

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