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On the role of the history force for inertial particles in turbulence

Published online by Cambridge University Press:  09 October 2015

Anton Daitche
Anton Daitche*
Affiliation:
Institute for Theoretical Physics, Westfälische Wilhelms-Universität, 48149 Münster, Germany Theoretical Physics/Complex Systems, ICBM, Carl von Ossietzky University of Oldenburg, 26129 Oldenburg, Germany
*
†Email address for correspondence: anton.d@wwu.de
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Abstract

The history force is one of the hydrodynamic forces that act on a particle moving through a fluid. It is an integral over the full time history of the particle’s motion and significantly complicates the equations of motion (accordingly it is often neglected). We present here a study of the influence of this force on particles moving in a turbulent flow, for a wide range of particle parameters. It is shown that the magnitude of the history force can be significant and that it can have a considerable effect on the particles’ slip velocity, acceleration, preferential concentration and collision rate. We also investigate the parameter dependence of the strength of these effects.

JFM classification

Multiphase and Particle-laden Flows: Multiphase and Particle-laden Flows Turbulent Flows: Turbulent Flows
Type
Papers
Information
Journal of Fluid Mechanics , Volume 782 , 10 November 2015 , pp. 567 - 593
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Copyright
© 2015 Cambridge University Press 

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