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Correlations for inclined prolates based on highly resolved simulations

Published online by Cambridge University Press:  19 August 2020

Konstantin Fröhlich Open the ORCID record for Konstantin Fröhlich [Opens in a new window] ,
Matthias Meinke  and
Wolfgang Schröder
Konstantin Fröhlich*
Affiliation:
Institute of Aerodynamics, RWTH Aachen University, Wüllnerstr. 5a, 52062Aachen, Germany
Matthias Meinke
Affiliation:
Institute of Aerodynamics, RWTH Aachen University, Wüllnerstr. 5a, 52062Aachen, Germany JARA–CSD, RWTH Aachen University, 52074Aachen, Germany
Wolfgang Schröder
Affiliation:
Institute of Aerodynamics, RWTH Aachen University, Wüllnerstr. 5a, 52062Aachen, Germany JARA–CSD, RWTH Aachen University, 52074Aachen, Germany
*
†Email address for correspondence: k.froehlich@aia.rwth-aachen.de
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Abstract

Efficient solution-adaptive simulations are conducted by a Cartesian cut-cell method to analyse the flow field of prolate ellipsoids in uniform flow. The parameter space defined by Reynolds numbers $1 \leq Re \leq 100$, aspect ratios $1 \leq \beta \leq 8$ and inclination angles $0^\circ \leq \phi \leq 90^\circ$ is covered by approximately 4400 simulations. Flow visualizations and skin friction distributions are presented for selected configurations. Aspect ratios $1\leq \beta \lesssim 3$ are identified as transitional geometries to fibres. For $\beta \gtrsim 3$, the flow topology is qualitatively unaffected by higher aspect ratios. If the major axis is aligned with the free stream, i.e. $\phi = 0^\circ$, the ellipsoids are slender bodies, whereas for $\phi = 90^\circ$ a bluff body flow is observed. Conditions for the onset of flow separation are reported. The data base is used to determine correlations for drag, lift and torque. The correlations are incorporated into dynamic equations for ellipsoidal Lagrangian models and limitations are discussed.

JFM classification

Multiphase and Particle-laden Flows: Multiphase flow Multiphase and Particle-laden Flows: Particle/fluid flow
Type
JFM Papers
Information
Journal of Fluid Mechanics , Volume 901 , 25 October 2020 , A5
Copyright
© The Author(s), 2020. Published by Cambridge University Press

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References

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