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Forces and torques on a prolate spheroid: low-Reynolds-number and attack angle effects

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Abstract

The three-dimensional flow field around a prolate spheroid has been obtained by integration of the full Navier–Stokes equations at Reynolds numbers 0.1, 1.0, and 10. The 6:1 spheroid was embedded in a Cartesian mesh by means of an immersed boundary method. In the low-Re range, due to the dominance of viscous stresses, an exceptionally wide computational domain was required, together with a substantial grid refinement in the vicinity of the surface of the immersed spheroid. Flow fields in equatorial and meridional planes were visualized by means of streamlines to illustrate Reynolds number and attack angle effects. Drag and lift forces and torques were computed and compared with the most recent correlation formulas. The largest discrepancies were observed for the moment coefficient, whereas the drag coefficient compared reasonably well.

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Acknowledgements

This work has been supported by the Research Council of Norway through grants of computing time on the national HPC infrastructure (Programme for Supercomputing, projects nn9191k and nn2469k) and by research grant No. 250744 Plankton in oceanic turbulence. FJ acknowledges funding from the Future Industry’s Leading Technology Development Program (No. 10042430) of MOTIE/KEIT of Korea.

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  1. Department of Energy and Process Engineering, Norwegian University of Science and Technology (NTNU), 7491, Trondheim, Norway

    Helge I. Andersson

  2. Department of Marine Technology, NTNU, 7491, Trondheim, Norway

    Fengjian Jiang

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Andersson, H.I., Jiang, F. Forces and torques on a prolate spheroid: low-Reynolds-number and attack angle effects. Acta Mech 230, 431–447 (2019). https://doi.org/10.1007/s00707-018-2325-x

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  • DOI: https://doi.org/10.1007/s00707-018-2325-x

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