AERODYNAMICS
AIRFOIL NACA 0010
Design a wind turbine rotor for a power plant that produces 112 watts of power at a speed of
6.5 m/s. The airfoil used for the rotor is the NACA 0010 airfoil with Re 360,000. Cp used is
0.4, and the efficiency of the combination of the drive and generator transmission is 0.9. The
density of the air taken is 1.20 kg/m3.
Calculation Parameters
1. Electrical power (𝑊𝑒) : 112 Watt
2. Velocity (𝑣) : 6.5 m/s
3. Reynolds : 360000
4. 𝜌. Air : 1,20 kg/m3
5. 𝜂 Transmission : 0,9
6. 𝜂 Generator : 0,9
7. 𝜂 Controller : 0,9
8. 𝜂 Blade : 0,3 – 0,4
9. Radius (R) : 0,53 meters
10. r. Partial (a) : 0,25 (Element 0 / Hub to
Innermost)
, The Calculation Results :
1. Total Efficiency (K)
Formula : 𝜂 Blade x 𝜂 Generator x 𝜂 Transmission
a. Upper limit
Total : 0,3 x 0,9 x 0,9 x 0,9 = 0,2187 = 0,22
b. Lower limit
Total : 0,4 x 0,9 x 0,9 x 0,9 = 0,2916 = 0,29
2. Wind Power (𝑾𝒂)
𝑊𝑒
Formula :
𝐾
a. Upper limit
𝑊𝑎 = ,22 = 509,1
b. Lower limit
𝑊𝑎 = ,29 = 386,2
3. Swept Area
2𝑊𝑎
Formula : A = 3
𝜌.𝑉𝑚𝑎𝑥
a. Upper limit
A = 2 (509,1) / 1,2 (6,5)3 = 3,062 m2
b. Lower limit
A = 2 (386,2) / 1,2 (6,5)3 = 2,551 m2
4. Radius
𝐴
Formula : R = √
𝜋
a. Upper limit
R= √3,062 : 3,14 = 0,55
b. Lower limit
R= √2,552 : 3,14 = 0,51
AIRFOIL NACA 0010
Design a wind turbine rotor for a power plant that produces 112 watts of power at a speed of
6.5 m/s. The airfoil used for the rotor is the NACA 0010 airfoil with Re 360,000. Cp used is
0.4, and the efficiency of the combination of the drive and generator transmission is 0.9. The
density of the air taken is 1.20 kg/m3.
Calculation Parameters
1. Electrical power (𝑊𝑒) : 112 Watt
2. Velocity (𝑣) : 6.5 m/s
3. Reynolds : 360000
4. 𝜌. Air : 1,20 kg/m3
5. 𝜂 Transmission : 0,9
6. 𝜂 Generator : 0,9
7. 𝜂 Controller : 0,9
8. 𝜂 Blade : 0,3 – 0,4
9. Radius (R) : 0,53 meters
10. r. Partial (a) : 0,25 (Element 0 / Hub to
Innermost)
, The Calculation Results :
1. Total Efficiency (K)
Formula : 𝜂 Blade x 𝜂 Generator x 𝜂 Transmission
a. Upper limit
Total : 0,3 x 0,9 x 0,9 x 0,9 = 0,2187 = 0,22
b. Lower limit
Total : 0,4 x 0,9 x 0,9 x 0,9 = 0,2916 = 0,29
2. Wind Power (𝑾𝒂)
𝑊𝑒
Formula :
𝐾
a. Upper limit
𝑊𝑎 = ,22 = 509,1
b. Lower limit
𝑊𝑎 = ,29 = 386,2
3. Swept Area
2𝑊𝑎
Formula : A = 3
𝜌.𝑉𝑚𝑎𝑥
a. Upper limit
A = 2 (509,1) / 1,2 (6,5)3 = 3,062 m2
b. Lower limit
A = 2 (386,2) / 1,2 (6,5)3 = 2,551 m2
4. Radius
𝐴
Formula : R = √
𝜋
a. Upper limit
R= √3,062 : 3,14 = 0,55
b. Lower limit
R= √2,552 : 3,14 = 0,51