Evaluation and Comparison of Different Models for Estimating the Rotational Force of a Hovering Flapping Wing Using the Blade Element Method

Document Type : Original Article

Authors

1 Mechanical Engineering Department Ferdowsi University of Mashhad

2 Mech. Engg. Dept. Faculty of Engg. Ferdowsi University of Mashhad

Abstract

In this research three different models of rotational force are evaluated in the study of a hovering fruit fly inspired wing, with combined flapping and pitching motions, using a quasi-static simulation by the blade element method, and the results achieved thereby, are compared with previously published results. Then these models are compared with each other, and the model which has the lowest relative error is introduced. The traditional rotational force model, which depends on the wing's translational velocity, does not consider any rotational force at the beginning and end of the stroke. The new rotational force models which are designed to accurately predict this force also consider a second component for this force which is due solely to wing pitching. In this research, the instantaneous and mean coefficients in the blade element method are compared with published computational fluid dynamics and experimental results. The models are compared in terms of the error in predicting the maximum point on the instantaneous force coefficients curve. The root-mean-square error analysis shows that one of the rotational force models, which includes the two force components described by the Kutta-Joukowski theorem and the force due solely to wing pitching, has higher relative accuracy than other models and can be proposed for quasi-static simulations.

Keywords

References

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Fluid Mechanics & Aerodynamics
Volume 9, Issue 2 - Serial Number 26
November 2021
Pages 141-157

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History

  • Receive Date: 08 May 2021
  • Revise Date: 04 June 2021
  • Accept Date: 12 July 2021
  • Publish Date: 29 November 2021

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