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An analytical blockage correction model for high-solidity turbines

Published online by Cambridge University Press:  20 September 2022

K. Steiros Open the ORCID record for K. Steiros [Opens in a new window] ,
N. Bempedelis Open the ORCID record for N. Bempedelis [Opens in a new window]  and
M.M. Cicolin Open the ORCID record for M.M. Cicolin [Opens in a new window]
K. Steiros*
Affiliation:
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
N. Bempedelis
Affiliation:
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
M.M. Cicolin
Affiliation:
Department of Aeronautics, Imperial College London, London SW7 2AZ, UK
*
†Email address for correspondence: k.steiros@imperial.ac.uk
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Abstract

A significant challenge in the experimental or computational characterisation of porous bodies and wind turbines is the correction of the obtained flow quantities for wall interference effects. Conventional corrective models are based on the Rankine–Froude theory, which is valid when the body solidity, or turbine induction factor, is sufficiently low. To resolve this issue, this work presents a new corrective model that builds on an extension of the Rankine–Froude theory, valid at arbitrary solidities, coupled with the method of mirror images to account for the existence of channel walls. The predictions of the new model are validated using laboratory and numerical experiments of porous plates and wind turbines. The results show that the new model performs equally as well as conventional ones when the solidity is low, but becomes increasingly more accurate as the latter grows.

JFM classification

Wakes/Jets: Wakes Nonlinear Dynamical Systems: Low-dimensional models

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JFM Papers
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Journal of Fluid Mechanics , Volume 948 , 10 October 2022 , A57
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Copyright
© The Author(s), 2022. Published by Cambridge University Press

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References

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