## Abstract

A two-way coupled Lagrangian moment approximation method for the simulation of Brownian fiber suspensions in turbulence is proposed. The flow equations are solved in an Eulerian manner. The influence of fibers on the fluid flow is taken into account by a non-Newtonian stress tensor. The fiber conformation and stresses are computed in a Lagrangian manner using the moment approximation method. The new method is used to simulate turbulent drag reduction in a plane channel. The results are compared with those of a direct Monte–Carlo solution of the Fokker–Planck equation, and a very good agreement is established. In comparison with the Newtonian flow case, the logarithmic region of the mean velocity profile shows a shift toward higher velocities, and velocity fluctuations in the streamwise direction are amplified, whereas the spanwise and wall-normal velocity fluctuations are attenuated, and the viscous sublayer is thickened. Small discrepancies between the results of the presented method and the reference data are conjectured to be mostly a consequence of the errors associated with the closure modeling, as also observed in previous Eulerian simulations.

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Moosaie, A. DNS of Microfiber-Induced Drag Reduction Using a Two-Way Coupled Lagrangian Moment Approximation Method.
*Iran J Sci Technol Trans Mech Eng* **45**, 245–254 (2021). https://doi.org/10.1007/s40997-020-00387-0

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DOI: https://doi.org/10.1007/s40997-020-00387-0