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Updated: Dec 5, 2025

Visually Based Characterization of the Incipient Particle Motion in Regular Substrates: From Laminar to Turbulent Conditions
Published on: February 22, 2018
Linearly forced isotropic turbulence at low Reynolds numbers
Wouter J T Bos1, Faouzi Laadhari1, Wesley Agoua1
1LMFA-Ecole Centrale de Lyon, CNRS-Univ. Claude Bernard Lyon 1, Univ. Lyon, 36 Avenue Guy de Collongue, F-69134 Ecully, France.
Abstract:
We investigate the forcing strength needed to sustain a flow using linear forcing. A critical Reynolds number R_{c} is determined, based on the longest wavelength allowed by the system, the forcing strength and the viscosity. A simple model is proposed for the dissipation rate, leading to a closed expression for the kinetic energy of the flow as a function of the Reynolds number. The dissipation model and the prediction for the kinetic energy are assessed using direct numerical simulations and two-point closure integrations. An analysis of the dissipation-rate equation and the triadic structure of the nonlinear transfer allows to refine the model in order to reproduce the low-Reynolds-number asymptotic behavior, where the kinetic energy is proportional to R-R_{c}.
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