## Experimental Investigation of the Reynolds Number’S Effect on the Aerodynamic Characteristics of a Horizontal Axis Wind Turbine of the Göttingen 188 Airfoil Type

**Zied Driss**^{1,}, **Sarhan Karray**^{1}, **Ali Damak**^{1}, **Mohamed Salah Abid**^{1}

^{1}Laboratory of Electro-Mechanic Systems (LASEM), National School of Engineers of Sfax (ENIS), University of Sfax (US), Tunisia

### Abstract

In this paper, a study of the effect of Reynolds number on the aerodynamic characteristics of a horizontal axis wind turbine equipped by three adjustable blades of the Göttingen 188 airfoil has been developed. Particularly, different aerodynamic regimes defined by Reynolds numbers were investigated. To achieve this, an open wind tunnel has been used to determine the global characteristics of the wind turbine. The obtained results consist of the recovered power, the exerted torque on the rotor in static and in dynamic modes as well as power coefficient and torque coefficient. This work has been developed at Laboratory of Electro-Mechanic Systems (LASEM) of the National School of Engineers of Sfax (ENIS).

### At a glance: Figures

**Keywords:** Göttingen 188 airfoil, wind turbine, horizontal axis, aerodynamic characteristics, wind tunnel

*American Journal of Mechanical Engineering*, 2013 1 (5),
pp 143-148.

DOI: 10.12691/ajme-1-5-7

Received October 10, 2013; Revised October 23, 2013; Accepted October 24, 2013

**Copyright:**© 2013 Science and Education Publishing. All Rights Reserved.

### Cite this article:

- Driss, Zied, et al. "Experimental Investigation of the Reynolds Number’S Effect on the Aerodynamic Characteristics of a Horizontal Axis Wind Turbine of the Göttingen 188 Airfoil Type."
*American Journal of Mechanical Engineering*1.5 (2013): 143-148.

- Driss, Z. , Karray, S. , Damak, A. , & Abid, M. S. (2013). Experimental Investigation of the Reynolds Number’S Effect on the Aerodynamic Characteristics of a Horizontal Axis Wind Turbine of the Göttingen 188 Airfoil Type.
*American Journal of Mechanical Engineering*,*1*(5), 143-148.

- Driss, Zied, Sarhan Karray, Ali Damak, and Mohamed Salah Abid. "Experimental Investigation of the Reynolds Number’S Effect on the Aerodynamic Characteristics of a Horizontal Axis Wind Turbine of the Göttingen 188 Airfoil Type."
*American Journal of Mechanical Engineering*1, no. 5 (2013): 143-148.

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### 1. Introduction

Wind energy is one such energy source that has little environmental impact, little adverse health effects, negligible security concerns, and is completely renewable. Currently wind energy is the fastest growing source of energy. Wind energy has proven itself as a viable source. Nowadays, subsidy programs were required, to stimulate the installation of such a large wind energy capacity. As such, there is still a lot of work needed to develop the technology, so that it is cost competitive with conventional sources. In this context, HU ^{[1]} developed an experimental investigation on the properties of the near wake behind the rotor of a Horizontal-Axis Wind Turbine (HAWT) at model scale. Measurements were made with a stationary slanted hot-wire anemometer using the technique of phase-locked averaging. The primary aim is to study the formation and development of the three-dimensional wake. Five axial locations were chosen within four chord lengths of the blades over a range of tip speed ratios. The results show that during the downstream development of the wake, the wake centre traces a helical curve with its rotation direction opposite to that of the rotor. The distribution of mean velocity behind the HAWT rotor reveals an expansion and a decay of the three-dimensional wake. The shapes of the mean velocity distribution are similar along the blades span at the same downstream axial location. It is shown that the turbulence levels in the wake are higher than those in the non-wake region. The circumferential component and the radial component of the turbulence intensity are higher than the axial component. This study offers some food of thought for better understanding of the physical features of the flow field as well as the performance of HAWT. Grant et al. ^{[2]} described a wind-tunnel study of the wake dynamics of an operational, horizontal-axis wind turbine. The behaviour of the vorticity trailing from the turbine blade tips and the effect of was interference on wake development were considered. Laser sheet visualisation (LSV) techniques were used to measure the trajectories of the trailing vorticity under various conditions of turbine yaw and blade azimuth. Selected results obtained in the experimental study were compared with the predictions of a prescribed wake model and are being used in the further development of the method. Barnsley and Wellicome ^{[3]} made surface pressure and near rotor velocity measurements, using a laser Doppler facility, at six radial positions for a 1m diameter two-bladed rotor, over the stalling range of tip speed ratios at typical Reynolds' numbers of 300 000. Velocity measurements have been used to quantify local incidence and results illustrate clearly the development of enhanced lift incidence due to a delay in the loss of leading edge suction peaks compared to 2D behaviour. Static hysteresis in the stall behaviour has also been identified. Power comparisons with full scale data indicate fairly good agreement in peak power coefficient and tip speed ratio at the onset of stall but also show significant Reynolds number effects in the stalling and post stall regions. Ting et al. ^{[4]} developed wind chiller in CCT Lab. Directly uses wind force to drive refrigeration system and hence reduces two times energy conversions between mechanical and electrical energies. The wind chiller needs high wind speed for its effective work due to the large working torque is required by the compressor. For the purpose of enlarging the applied wind field by the wind machine, this work aims to develop a dual system of wind chiller integrated with wind generator. The integrated wind generator can use the wind energy which cannot effectively drive the compressor. Therefore, the new developed dual system can apply larger range of the wind field and further increase the total working efficiency of the wind machine. A programmable logic controller (PLC) is applied in this wind forced dual system to select the wind chiller or the wind generator separately in terms of the rotational speed of the wind machine. In this work, the wind chiller is switched on while the accelerated rotational speed reaches 80 rpm and off while the decelerated rotational speed reaches 60 rpm. The integrated wind generator is switched on while the decelerated rotational speed reaches 60 rpm and off while the decelerated rotational speed reaches 40 rpm. The two apparatuses in the dual system always work separately. The results show that there is ca. 18.5% increment of effective working efficiency which is captured by the wind generator. According to these studies, we can confirm that there are several areas for further development in the design of wind turbines. There are many opportunities to improve the mechanical, structural and electrical systems. The greatest potential for improvement, in both short and long term development, is in the field of aerodynamics. Chen and Liou ^{[5]} quantitatively investigated the effects of tunnel blockage on the turbine power coefficient in wind tunnel tests of small horizontal-axis wind turbines (HAWTs). The blockage factor was determined by measuring the tunnel velocities with and without rotors using a pitot-static tube under various test conditions. Results showed that the BF depends strongly on the rotor tip speed ratio, the blade pitch angle, and the tunnel blockage ratio. This study also showed that the blockage correction is less than 5% for a BR of 10%, which confirms that no blockage correction for a BR less than 10% in literatures is acceptable. Driss et al. ^{[6]} studied the effect of the 913 wind turbine airfoils. The numerical results obtained in the cases of the airfoils type SD2030 and BM4640 are particularly predicted and analyzed. The results, from application of the computational fluid dynamics (CFD) code "Fluent", are presented in the transversal and longitudinal planes of the considered control volume. The Navier-Stokes equations are solved by a finite volume discretization method. The turbulence model used is the RNG k-ε. The objective is to study the effect of the airfoil type on the aerodynamic structure flow around the horizontal-axis wind turbine. Driss and Abid ^{[7]} studied the aerodynamic characteristics on an open circuit tunnel. They are interested to verify that the test vein provides a uniform out flow, a high-speed and a low-turbulence. The numerical results from the application of the CFD code are presented in the transversal and longitudinal planes of the wind tunnel. The comparison between the numerical results and the global experimental results, conducted within a hot wire anemometry AM-4204 model, confirm the validity of the numerical method ^{[8, 9, 10]}.

On the basis of the previous studies, it appears that there is paucity on the study of small horizontal axis wind turbine and particularly on the Göttingen airfoil type. For this reason, an experimental investigation is presented in this paper to study the effect of the Reynolds number on the aerodynamic characteristics of a horizontal axis wind turbine equipped by three adjustable blades of the Göttingen 188 airfoil.

### 2. Geometrical Arrangement

The present work focuses on the horizontal axis wind turbine. The wind turbine is constituted of three adjustable blades of the Göttingen 188 airfoil. In this application, the airfoil is characterised by a blade length equal to l = 100 mm and a chord length equal to C = 43 mm. The radius rotor is equal to R = 157 mm (Figure 1). Indeed, the wind turbine is equipped by a system to change the wedging angle β, measured between the blade rotation plane and the chorde. The experimental investigation has been developed using wind tunnel. The wind turbine has been introduced through a hole situated on the top of the test vein. Particularly, a vertical axis is used to maintain the rotor. This installation permits to study the effect of the wedging angle and the Reynolds number on the global characteristics of the wind turbine (Figure 2).

**Fig**

**ure**

**1**

**.**Horizontal axis wind turbine equipped by three adjustable blades of the Göttingen 188 airfoil

**Fig**

**ure**

**2.**Wind tunnel equipped by a horizontal axis wind turbine

### 3. Experimental Method

**Fig**

**ure**

**3.**Calibration curve of the dynamic torque with the electric current

In this study, an experimental investigation is conducted on an open wind tunnel designed and realized in our Laboratory of Electro-Mechanic Systems at National School of Engineers of Sfax ^{[7, 8, 9, 10]}. To do this, the necessary equipments for the global characterization of the horizontal axis wind turbines have been installed. This involved the manufacture of an open wind tunnel and its instrumentation. This system has been designed and realised to establish the aerodynamic characteristics of small wind turbines. It mainly consists of five compartments: a settling chamber, a collector, a test vein, a diffuser and a drive section. A vacuum cleaner with variable speed draws the air through the test vein. The honeycomb placed at the input of this room provides a uniform airflow. The hot wire anemometry technique has been used to justify the nature of the flow generated by the system and to ensure a uniform airflow in the test vein. The experimental device has been used to predict the aerodynamic behaviour and investigate the conditions experienced by the wind turbines placed in the air flow. The rotor axis has been placed in the middle of the test vein having a cross section area of 400 mm x 400 mm. By changing the rotation frequency of the vacuum cleaner SV0081C5-1F type, the wind tunnel exit-air velocity was controlled. The entire tests have been conducted within a hot wire anemometry AM-4204 model to measure the air velocity. In the test vein, the maximum air velocity value is equal to 12.7 m/s. The rotational speed of the wind turbine rotor was measured with a digital tachometer CA-27 model. To measure the static torque on the rotor shaft, a torque meter TQ-8800 model has been used. The dynamic torque exerted on the rotor shaft was measured with a DC generator which transforms the torque on its axis at an electrical current. For that the generator, coupled to the dynamometer RZR-2102 model, display simultaneously the shape speed and the dynamic torque. This dynamometer has been used to provide mechanical power to the generator which delivers an electric current in a resistive load. Torque measurement integrated into the dynamometer, allows tracing the calibration curve that connects the electric current supplied by the generator to the dynamic torque (Figure 3). This calibration curve serves for determination of the dynamic torque after referring to the value of the electric current supplied by the generator. This strategy offered a comprehensive understanding of aerodynamic characteristics of different configurations.

### 4. Experimental Results

In this study, different flow regimes defined by the Reynolds numbers equals to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403 are investigated.

**4.1. Power**

Figure 4 presents the variation of the recovered power depending on the revolution speed Ω of the horizontal axis-wind turbine for different Reynolds numbers equals to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403. According to these results, the presented curve shows a parabolic branch. The recovered power decreases with the increase of the revolution speed. Indeed, it’s noted that the Reynolds number has a direct effect on the results. In these conditions, the recovered power increases with the increase of the Reynolds number. The maximal values of the recovered power increase also with the increase of the Reynolds number. Particularly, for the Reynolds number Re = 165093, the maximal value of the recovered power is equal to P = 8.4 W for a revolution speed equal to Ω = 885 rpm. Indeed, the minimal and maximal revolution speeds increase with the increase of the Reynolds number. In fact, for a Reynolds number Re = 165093, the revolution speed of the wind turbine varies between Ω = 885 rpm and Ω = 1090 rpm. This interval variation increases for a Reynolds number equal to Re = 265403. In this case, the revolution speed varies between Ω = 2010 rpm and Ω = 2100 rpm.

**Fig**

**ure**

**4**

**.**

**Variation of the power depending on the revolution speed Ω**

**4.2. Power Coefficient**

Figure 5 presents the variation of the power coefficient depending on the specific velocity λ of the horizontal axis-wind turbine for different Reynolds numbers equal to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403. According to these results, the presented curve shows a parabolic branch. Indeed, it’s noted that the Reynolds number has a direct effect on the results. Particularly, the power coefficient increases with the increase of the Reynolds number at the same specific velocity λ. In these conditions, for the Reynolds number Re = 165093, the maximal value of the power coefficient is equal to C_{p} = 0.21 for a specific velocity equal to λ = 2. Indeed, the minimal and maximal specific velocity values increase with the increase of the Reynolds number. In fact, for a Reynolds number Re = 165093, the specific velocity of the wind turbine varies between λ = 2 and λ = 2.3. However, with a Reynolds number Re = 265403, the specific velocity varies between λ = 2.63 and λ = 2.72.

**Fig**

**ure**

**5.**Variation of the power coefficient depending on the specific velocity λ

**Fig**

**ure**

**6.**Variation of the dynamic torque depending on the revolution speed Ω

**4.3. Dynamic Torque**

Figure 6 presents the variation of the dynamic torque depending on the revolution speed Ω of the horizontal axis-wind turbine for different Reynolds numbers equal to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403. According to these results, the dynamic torque value decreases with the increase of the revolution speed Ω. Also, it’s clear that the Reynolds number has a direct effect on the cartographies presentation. Particularly, the dynamic torque value increases with the increase of the Reynolds number at the same revolution speed Ω. In fact, the maximal value of the dynamic torque reaches M_{d} = 0,072 N.m for the Reynolds number equal to Re = 165093 and a revolution speed equal to Ω = 925 rpm. However, the maximal value of the dynamic torque reaches M_{d} = 0,088 N.m for the Reynolds number equal to Re = 265403 and a revolution speed equal to Ω = 2002 rpm. This confirms that the maximal value increases with the increase of the Reynolds number. Indeed, it’s clear that the minimal value of the dynamic torque increases with the increase of the Reynolds number. For example, the minimal value of the dynamic torque reaches M_{d} = 0,008 N.m for the Reynolds number equal to Re = 265403 and a revolution speed equal to Ω = 2140 rpm.

**4.4. Dynamic Torque Coefficient**

Figure 7 presents the variation of the dynamic torque coefficient depending on the specific velocity λ of the horizontal axis-wind turbine for different Reynolds numbers equal to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403. According to these results, it’s noted that the presented curve shows a parabolic branch. In these conditions, the dynamic torque coefficient decreases with the increase of the specific velocity λ. Indeed, it’s clear that the Reynolds number has a direct effect on the cartographies presentation. The maximal values of the dynamic torque coefficient decrease also with the increase of the Reynolds number. In fact, for the Reynolds number Re = 165093, the maximal value of the dynamic torque coefficient is equal to C_{Md} = 0.108 for a specific velocity equal to λ = 1.94. However, for the Reynolds number Re = 265403, the maximal value of the dynamic torque coefficient is equal to C_{Md} = 0.059 for a specific velocity equal to λ = 2.52.

**Fig**

**ure**

**7**

**.**Variation of the dynamic torque coefficient depending on the specific velocity λ

**4.5. Static Torque**

Figure 8 presents the variation of the static torque depending on the wedging angle β of the horizontal axis-wind turbine for different Reynolds numbers equals to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403. According to these results, the presented curve shows a parabolic branch. Indeed, it’s noted that the Reynolds number has a direct effect on the cartographies presentation.

In these conditions, the static torque increases with the increase of the Reynolds number. Particularly, the maximal values of the static torque increase with the increase of the Reynolds number. In fact, for the Reynolds number Re = 165093, the maximal value of the static torque is equal to M_{s} = 2.8 N.m for a wedging angle equal to β = 50°.

**Fig**

**ure**

**8.**Variation of the static torque depending on the wedging angle β

**Fig**

**ure**

**9.**Variation of the static torque coefficient depending on the wedging angle β

**4.6. Static Torque Coefficient**

Figure 9 presents the variation of the static torque coefficient depending on the wedging angle β of the horizontal axis-wind turbine for different Reynolds numbers equal to Re = 165093, Re = 194350, Re = 217338, Re = 242415, Re = 257044 and Re = 265403. According to these results, it’s noted that the presented curve shows a parabolic branch. Indeed, it’s clear that the Reynolds number hasn’t an effect on the cartographies presentation. In these conditions, the maximal value of the static torque coefficient value is equal to C_{Ms} = 0.06 for a wedging angle equal to β = 50°. Indeed, the static torque coefficient value becomes null for a wedging angle equal to β = 0°.

### 5. Conclusion

In this paper, an experimental investigation has been developed to study the Reynolds numbers effect on the global characteristics of the horizontal axis wind turbine equipped by three adjustable blades of the Göttingen 188 airfoil. Evaluation of the rotor performance based on the power and torque produced is reported to optimize and to improve the experimental conditions of the wind turbine. According to the experimental results, it’s noted that the Reynolds number has a direct effect on the global characteristics, except the static torque coefficient.

In the future, we intend to change the blade profiles to optimize the output of the wind turbines. Therefore, we propose to develop an experimental investigation within a particle image velocimetry laser (PIV) system for a finer survey of the local out-flow features. Also, it is interested to find the necessary material for the manufacture of the wind turbines.

### Nomenclature

A: Swept area of the rotor (m^{2})

C: chord length** **(m)

D: diameter of the rotor (m)

l: length of the blade (m)

M: Torque (N.m)

P: power (W)

R: radius of the rotor (m)

V: Speed of air (m/s)

### Greek Letters

β: wedging angle (°)

μ: dynamic viscosity of the fluide (Pa.s)

Ω: revolution speed of the rotor (rpm)

ρ: density of fluid (kg.m^{-3})

### Adimensionnels numbers

: Reynolds number

_{ }: Specific velocity

: Coefficient of power

:_{ }Coefficient of torque

### Indices

s: static

d: dynamic

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