Toward the development of a hydrofoil tailored to passively reduce its lift response to fluid load
Introduction
The International Moth is a single-handed ultra-lightweight foiling development class boat (International Moth Class, 2013). When foiling the mass of the boat and helm remains constant but the lift produced by the daggerboard and rudder T-foils increases with the square of the boat speed. The daggerboard T-foil is formed of two elements with an adjustable rear flap to modify the lift produced based on the vessel ride height. This constant movement of the rear foil changes the viscous drag of the whole foil section. Meanwhile, the angle of attack of the forward main element is slightly adjusted with dynamic body movements of the helm. The importance of being a lightweight sailing boat enhanced the use of composite materials. Using composite materials it is possible to design a structure tailored to a certain load, in this case the mass of the boat plus the crew. Introducing plies oriented at angles different than zero, 90 or 45° that are normally used in quasi-isotropic structures, it is possible to change the response of a composite structure under load.
Moreover, with the recent increase of foiling boats there is still a lack of accurate measures of structural response and shape of the hydrofoils. This gives rise to scientific questions on whether there is a manufacturing consistency between the port and starboard foil on a catamaran or different batches of foils on mono-hulls.
The aim of the current research is therefore to develop numerical and experimental tools capable of accurately describing the structural response of a foil under fluid-load and to design and develop a foil structure tailored to decrease its lift coefficient as the flow speed increases. In order to do so a coupled CFD and FEA methodology is developed and validated using full-field measurement techniques within a wind tunnel environment.
Those techniques are described in section 2 together with the advantages of developing a robust and repeatible Fluid Structure Interaction (FSI) experimental methodology. The FSI experimental technique was initially developed at the University of Southampton (Banks et al., 2015; Marimon Giovannetti et al., 2017; Marimon Giovannetti, 2017) and provides not only a measure of synchronised structural deformation and fluid response but also the uncertainty values associated with coupling the two optical systems.
Moreover, in section 3 two techniques that can be used to change the performance profile of an hydrofoil are described, namely Passive Adaptive Composites (PAC) that tailors the response of a structure by changing the orientation of the composite plies (Veers et al., 1998) and Differential Stiffness Bend-Twist (DSBT) that utilises the internal stiffness of a structure to change the aero-hydrodynamic response to fluid load (Raither et al., 2012). These two techniques, if used in parallel, can substantially change the effective angle of attack of a foil structure under load. The current research presents the first steps in investigating the possibilities of applying those techniques to the design of a daggerboard T-foil of the International Moth. PAC have been researched in applications for wind-turbine blades (De Goeij et al., 1999; Lin and Lai, 2010; Maheri and Isikveren, 2009), tidal turbines (Nicholls-Lee et al., 2009; Barber, 2017), propeller blades (Khan et al., 2000; Young and Motley, 2011) and Micro Air Vehicles (Hu et al., 2008; Tamai et al., 2008), so it is now possible to use the knowledge from other applications for high performance sailing boats.
After the two background sections, an idealised section that can be adapted in future research to high speeds boats such as the International Moth is presented. Utilising the inherent flexibility of PAC at high speeds and relatively large tip deflections the angle of attack can be passively reduced to decrease the induced drag. Twisting an aerofoil section toward feather indeed reduces the effective angle of attack of the foil. The equations of an analytical model that relates the lift force to the plies orientation within the structure are also described.
The design of the flexible aerofoil is presented in section 5. The position and layup of the internal stiffener are presented as well as the manufacturing techniques.
Finally, the full-scale experimental and numerical setup as well as the results from an idealised section are presented to demonstrate the passive-adaptive response to fluid load. This research merely represents the findings on FSI of a full-scale flexible model. Those results can be used in future projects as base to build a main element foil of the International Moth.
Section snippets
Background on FSI experimental measures
Within the available literature there is a lack of analytical solutions and experimental measures of FSI problems (de Borst et al., 2013; Hou et al., 2012). Therefore, research in this area has mainly focused on coupled numerical solutions or approximations extensively utilising Blade Element Momentum (BEM) theory, Computational Fluid Dynamics (CFD) and structural Finite Element Analysis (FEA) simulations. Even though numerical studies have been extensive, especially in recent years with the
Background on bend-twist coupling
In developing the design of a single-element foil that can twist toward feather with increased flow-speed, two bent-twist techniques are brought together: the bend-twist coupling due to the orientation of the plies utilising Passive Adaptive Composites and the bend-twist coupling due to stiffness variation along the aerofoil chord utilising Differential Stiffness Bend-Twist (DSBT).
PAC presents fibres oriented in the same direction at opposite sides of the neutral axis, introducing an
Optimised design for bend-twist coupling
Conventional foil design assume a rigid shape, therefore the lift and drag coefficients are measured in experimental and numerical simulations for rigid sections. However, once analysing composite flexible foils, it is important to understand the effects of deflections on performance outcome. The International Moth horizontal foil provides the lift necessary to counteract the crew-hull weight, as presented in Fig. 1. The produced force is dependent on the pitch angle as well as the boat speed
Design of a PAC foil
From herein an idealised flexible aerofoil is described and analysed numerically and experimentally. The purpose of this study is to understand the effects of introducing a PAC stiffener inside an aero-hydrodynamic structure capable of changing the performances of said structures with the introduction of bend-twist coupling plies.
In order to achieve a level of twist high enough to reduce the rate of change of lift with speed, it is necessary to maximise the distance between the shear centre and
Numerical and experimental set-up
Given the high costs involved in experimental campaigns, it was necessary to achieve enough confidence in the response of the foil prior to entering the wind tunnel. Therefore, the numerical tools, validated against experimental values for an earlier design case, were used as design and developing tools to ensure a tailored response to load. The aerofoil shown in Fig. 7 was modelled in the numerical environment. The structural model was solved using the numerical software ABAQUS 6.14, coupled
FSI results
Fig. 11 presents the lift force response for and a range of wind speeds. The two internal structures are compared. It is possible to see that the glass-carbon C-beam, being more flexible and prone to twist, allows a larger reduction in lift over velocity slope. This response is possible due to the larger bend-twist coupling effects occurring in the structure with less bending and torsional stiffness.
Both the numerical and wind tunnel data show that it is possible to design a structure
Conclusions
A fluid-structure interaction numerical model was developed to allow the design and evaluation of passively adaptive hydrofoils for high-performance sailing boats. This combined an FEA model of a bend-twist coupled composite foil structure with a RANS CFD model to predict the performance of flexible foils. The numerical method was used to design a simplified hydrofoil geometry that passively reduces its angle of attack as the flow speed increased. To validate this method the designed foil
Acknowledgements
The authors would like to acknowledge the EPSRC for funding this research under the grant number EP/I009876/1. The authors would also thank the University of Southampton, the members of the TSRL and Dave Marshall and his team in the R. J. Mitchell wind tunnel. Moreover, we would like to thank Dr Nila from LaVision for his assistance with the DIC and PIV set-up.
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