Abstract

Abstract

Highlights

  • The use of porosity as an adaptation to traditional rigid impermeable aerofoils is a commonplace area of interest for minimising aerofoil–turbulence interaction noise (Geyer, Sarradj & Giesler 2012; Roger, Schram & De Santana 2013; Ayton 2016; Chaitanya et al 2020)

  • The steady aerodynamics of partially porous aerofoils have previously been predicted theoretically by Iosilevskii (2011), which has been extended to aerofoils with porosity gradients by Hajian & Jaworski (2017)

  • Five wings of the barn owl and nine wings of the common buzzard were investigated to obtain the data used in the present study

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Summary

Introduction

The use of porosity as an adaptation to traditional rigid impermeable aerofoils is a commonplace area of interest for minimising aerofoil–turbulence interaction noise (Geyer, Sarradj & Giesler 2012; Roger, Schram & De Santana 2013; Ayton 2016; Chaitanya et al 2020). These investigations, theoretical (Ayton 2016), numerical (Cavalieri, Wolf & Jaworski 2016; Bae & Moon 2011) and experimental (Geyer et al 2010; Geyer & Sarradj 2019), focus on using one uniform material to impose the porosity, with chordwise variations achieved only through the use of partially porous aerofoils wherein there is an unavoidable and instantaneous variation of the boundary from impermeable to permeable At this junction, additional noise is generated by edge scattering (Rienstra & Peake 2005; Ayton 2016). Throughout this paper, we pay particular attention to monotonic porosity distributions as inspired by two species of birds: barn owls (tyto alba), known for their silent flight (Graham 1934; Lilley 1998), and common buzzards (buteo buteo) We recreate these chordwise-varying porosity distributions in our flat-plate model as an initial study into the effects of porosity distributions on both aerofoil–turbulence interaction noise and potential lift, before considering more general monotonic distributions.

Mathematical model for the acoustics
Mathieu function expansion
Employing the boundary conditions
Avoiding numerical cancellations
Theoretical calculation of lift
Experimental measurements
Theoretical modelling
Bio-inspired distributions
Numerical convergence and validation of methods
Bio-inspired results
Monotonic distributions
Conclusions
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