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Direct Monte Carlo simulation of turbulent drag reduction by rigid fibers in a channel flow

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Abstract

A two-way coupled simulation technique for a dilute suspension of rigid fibers in turbulent flows is proposed. It is based on an Eulerian direct numerical simulation of the incompressible Navier–Stokes equations and a Lagrangian direct Monte Carlo simulation of the fiber orientational conformation. The numerical methods are explained in detail. The developed simulation tool is employed to study the turbulent drag reduction by rigid fibers in a fully developed channel flow at a nominal shear Reynolds number Re τ = 180. We use 1283 grid cells to resolve the Eulerian field and 6.55 × 107 Lagrangian particle clusters each of which containing 100 fibers to compute the fiber conformation. This results in a total number of 6.55 × 109 fibers. Turbulence statistics of the fibrous drag-reduced channel flow using a direct solver are reported for the first time. Previously reported features of a fibrous drag-reduced channel flow are confirmed by our simulation. We present the mean flow quantities. In particular, turbulence intensities are investigated by considering the probability density function of the fluctuating velocities.

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  1. A. Moosaie

    Present address: Department of Mechanical Engineering, Yasouj University, Yasouj, Iran

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  1. Fachgebiet Hydromechanik, Technische Universität München, Arcisstrasse 21, 80333, Munich, Germany

    A. Moosaie & M. Manhart

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Moosaie, A., Manhart, M. Direct Monte Carlo simulation of turbulent drag reduction by rigid fibers in a channel flow. Acta Mech 224, 2385–2413 (2013). https://doi.org/10.1007/s00707-013-0919-x

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