Abstract
The flow around different prolate (needle-like) and oblate (disc-like) spheroids is studied using a multi-relaxation-Time lattice Boltzmann method. We compute the mean drag coefficient at different incident angles for a wide range of Reynolds numbers . We show that the sine-squared drag law holds up to large Reynolds numbers, . Further, we explore the physical origin behind the sine-squared law, and reveal that, surprisingly, this does not occur due to linearity of flow fields. Instead, it occurs due to an interesting pattern of pressure distribution contributing to the drag at higher for different incident angles. The present results demonstrate that it is possible to perform just two simulations at and for a given and obtain particle-shape-specific at arbitrary incident angles. However, the model has limited applicability to flatter oblate spheroids, which do not exhibit the sine-squared interpolation, even for , due to stronger wake-induced drag. Regarding lift coefficients, we find that the equivalent theoretical equation can provide a reasonable approximation, even at high , for prolate spheroids.
Original language | English |
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Article number | R1 |
Number of pages | 13 |
Journal | Journal of Fluid Mechanics |
Volume | 820 |
DOIs | |
Publication status | Published - 10 Jun 2017 |
Funding
The authors thank the European Research Council for its financial support under its consolidator grant scheme, contract no. 615906 (NonSphereFlow).
Keywords
- multiphase and particle-laden flows
- particle/fluid flow