One-dimensional energy spectra in three-dimensional incompressible homogeneous isotropic turbulence

TL;DR

This paper analyzes the one-dimensional energy spectra in 3D isotropic turbulence using the Karman-Howarth equation, examining spectral scaling and its consistency with experimental data at low Reynolds numbers.

Contribution

It provides an exact theoretical analysis of energy spectra in isotropic turbulence and compares the spectral scaling with experimental observations.

Findings

Spectral scaling can collapse spectral data in certain conditions

The theory aligns with experimental data at low Reynolds numbers

Insights into the spectral features of isotropic turbulence

Abstract

The paper investigates the detailed features of one-dimensional energy spectra in three-dimensional isotropic turbulence, based on the exact solution of Karman-Howarth equation. Particular interest will be paid on the degree to which spectral scaling can lead the spectral data to be collapsed. The theory appears to be consistent with the wealth of experimental data (G.Comte-Bellot and S. Corrsin, 1971) at least in low Taylor microscale Reynolds number.