Alignment statistics of rods with the Lagrangian stretching direction in a channel flow

In homogeneous isotropic turbulence, slender rods are known to align with the Lagrangian stretching direction. However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the...

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Veröffentlicht in:Journal of fluid mechanics 2020-10, Vol.901, Article 16
Hauptverfasser: Cui, Z., Dubey, A., Zhao, L., Mehlig, B.
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Dubey, A.
Zhao, L.
Mehlig, B.
description In homogeneous isotropic turbulence, slender rods are known to align with the Lagrangian stretching direction. However, how the degree of alignment depends on the aspect ratio of the rod is not understood. Moreover, particle-laden flows are often anisotropic and inhomogeneous. Therefore we study the alignment of rods with the Lagrangian stretching direction in a channel flow, which is approximately homogeneous and isotropic near the centre but inhomogeneous and anisotropic near the walls. Our main question is how the distribution of relative angles between a rod and the Lagrangian stretching direction depends on the aspect ratio of the rod and upon the distance of the rod from the channel wall. We find that this distribution exhibits two regimes: a plateau at small angles corresponding to random uncorrelated motion, and power-law tails due to large excursions. We find that slender rods near the channel centre align better with the Lagrangian stretching direction compared with those near the channel wall. These observations are explained in terms of simple statistical models based on Jeffery's equation, qualitatively near the channel centre and quantitatively near the channel wall. Lastly we discuss the consequences of our results for the distribution of relative angles between the orientations of nearby rods (Zhao et al., Phys. Rev. Fluids, vol. 4, 2019, 054602).
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source Web of Science - Science Citation Index Expanded - 2020<img src="https://exlibris-pub.s3.amazonaws.com/fromwos-v2.jpg" />; Cambridge University Press Journals Complete
subjects Alignment
Anisotropy
Aspect ratio
Bacteria
Channel flow
Computational fluid dynamics
Direction
Distribution
dynamics
ellipsoidal particles
Fluid flow
Fluid mechanics
Fluids
Fysik
Isotropic turbulence
JFM Papers
Laboratories
Mathematical models
Mechanics
motion
particle/fluid flow
Physical Sciences
Physics
Physics, Fluids & Plasmas
Rods
Science & Technology
Statistical analysis
Statistical methods
Statistical models
Stretching
Symmetry
Technology
Turbulence
turbulence simulation
Velocity
title Alignment statistics of rods with the Lagrangian stretching direction in a channel flow
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