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E-mail: Hussein.Mohamed@eng.psu.edu.eg
Mobil: +2 01555 96 888 1
Ph.D. and M.Sc. In Ship Hydrodynamics
What is Aero foil??
๏ƒ˜ An airfoil or aerofoil is the cross-sectional shape of a wing
blade of a propeller rotor or turbine; or sail as seen in cross-
section
Applications
Aero plan Wing Marine Propeller Rudder
Aero foil Types
Aims of Aero foil
General Definitions
General Definitions
Aero foil Code
๏ถ National Advisory Committee for Aeronautics (NACA).
๏ถ It is defined by series with four digit xxxx or five digit xxxxx
Max. camber percentage of chord
Max. Thickness of chord %
Position of Maximum Thickness of chord%
Problem
โ€ข Correction due to thickness
โ€ข Correction due to angle of attack
โ€ข Correction due to Camber
S=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-new)* CL,OLD -
Correction=(S)- CL,New
(๐ฏ/๐•)๐‘ต๐’†๐’˜ = ((๐ฏ/๐•)๐’๐’๐’…
-1)*(๐ญ)๐ง๐ž๐ฐ/(๐ญ)๐จ๐ฅ๐ ]+1
Correction=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-old)
(โˆ†๐ฏ/๐•)๐‘ต๐’†๐’˜ = (โˆ†๐ฏ/๐•)๐’๐’๐’…โˆ— ๐‘ช๐’๐’“๐’“๐’†๐’„๐’•๐’Š๐’๐’
(โˆ†va/V)๐‘๐‘’๐‘ค = (โˆ†v/V)๐‘œ๐‘™๐‘‘โˆ— ๐ถ๐‘œ๐‘Ÿ๐‘Ÿ๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘›
Corrections and Formula Represent the angle of attack, lift coefficient CL
Represent the thickness
Represent the thickness of camber
Back (B)
Face (F)
โ€ข โˆ† v V ๐ต๐‘Ž๐‘๐‘˜ =
๐‘ฃ
๐‘‰
+
โˆ†va
V
+ โˆ† v V
โ€ข โˆ† v V ๐น๐‘Ž๐‘๐‘’ =
๐‘ฃ
๐‘‰
โˆ’
โˆ†va
V
โˆ’ โˆ† v V
โ€ข โˆ† p q ๐ต๐‘Ž๐‘๐‘˜ = 1 โˆ’ โˆ† ve V ๐ต๐‘Ž๐‘๐‘˜^2
โ€ข โˆ† p q ๐น๐‘Ž๐‘๐‘’ = 1 โˆ’ โˆ† v๐‘’ V ๐น๐‘Ž๐‘๐‘’^2
Corrections and Formula
Problem
Solution
80
50
30
10
5
C%
1.022
1.108
1.162
1.188
1.174
v/V
=-0.153*0.068
=-0.153*0.149
=-0.153*0.239
=-0.153*0.479
=-0.153*0.685
=4/6*0.159
=4/6*0.228
=4/6*0.260
=4/6*0.187
=4/6*0.137
1.118
1.238
1.299
1.239
1.174
-0.153*0.685+
4/6*0.137
โˆ† v๐‘’ V ๐ต๐‘Ž๐‘๐‘˜
0.926
0.978
1.025
1.137
1.174
+0.153*0.685-
4/6*0.137
โˆ† ve V ๐น๐‘Ž๐‘๐‘’
-0.249
-0.532
-0.687
-0.535
-0.349
โˆ† p q ๐ต๐‘Ž๐‘๐‘˜
0.142
0.043
-0.05
-0.292
-0.408
โˆ† p q ๐น๐‘Ž๐‘๐‘’
Solution
S=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-new)* CL,OLD - 4/6*0.76
Correction=(S)- CL,New
=(4/6*0.76)-0.66=-0.1053
(โˆ†va/V)๐‘๐‘’๐‘ค = (โˆ†va/V)๐‘œ๐‘™๐‘‘โˆ— ๐ถ๐‘œ๐‘Ÿ๐‘Ÿ๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘›
Correction=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-old) =4/6
โˆ† p q
๐‘%
5 10
20 30 50 70 80
-0.1
0.0
-0.2
-0.3
-0.4
-0.5
-0.6
-0.7
1
0.1
0.2
0.3
0.4
0.5
0.6
0.7
1.0
Back
Face
E-mail: Hussein.Mohamed@eng.psu.edu.eg
Mobil: +2 01555 96 888 1
Ph.D. and M.Sc. In Ship Hydrodynamics

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Pressure Distribution Along Aero-foil (NACA)

  • 1. E-mail: Hussein.Mohamed@eng.psu.edu.eg Mobil: +2 01555 96 888 1 Ph.D. and M.Sc. In Ship Hydrodynamics
  • 2. What is Aero foil?? ๏ƒ˜ An airfoil or aerofoil is the cross-sectional shape of a wing blade of a propeller rotor or turbine; or sail as seen in cross- section
  • 3. Applications Aero plan Wing Marine Propeller Rudder
  • 8. Aero foil Code ๏ถ National Advisory Committee for Aeronautics (NACA). ๏ถ It is defined by series with four digit xxxx or five digit xxxxx Max. camber percentage of chord Max. Thickness of chord % Position of Maximum Thickness of chord%
  • 10.
  • 11. โ€ข Correction due to thickness โ€ข Correction due to angle of attack โ€ข Correction due to Camber S=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-new)* CL,OLD - Correction=(S)- CL,New (๐ฏ/๐•)๐‘ต๐’†๐’˜ = ((๐ฏ/๐•)๐’๐’๐’… -1)*(๐ญ)๐ง๐ž๐ฐ/(๐ญ)๐จ๐ฅ๐ ]+1 Correction=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-old) (โˆ†๐ฏ/๐•)๐‘ต๐’†๐’˜ = (โˆ†๐ฏ/๐•)๐’๐’๐’…โˆ— ๐‘ช๐’๐’“๐’“๐’†๐’„๐’•๐’Š๐’๐’ (โˆ†va/V)๐‘๐‘’๐‘ค = (โˆ†v/V)๐‘œ๐‘™๐‘‘โˆ— ๐ถ๐‘œ๐‘Ÿ๐‘Ÿ๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘› Corrections and Formula Represent the angle of attack, lift coefficient CL Represent the thickness Represent the thickness of camber
  • 12. Back (B) Face (F) โ€ข โˆ† v V ๐ต๐‘Ž๐‘๐‘˜ = ๐‘ฃ ๐‘‰ + โˆ†va V + โˆ† v V โ€ข โˆ† v V ๐น๐‘Ž๐‘๐‘’ = ๐‘ฃ ๐‘‰ โˆ’ โˆ†va V โˆ’ โˆ† v V โ€ข โˆ† p q ๐ต๐‘Ž๐‘๐‘˜ = 1 โˆ’ โˆ† ve V ๐ต๐‘Ž๐‘๐‘˜^2 โ€ข โˆ† p q ๐น๐‘Ž๐‘๐‘’ = 1 โˆ’ โˆ† v๐‘’ V ๐น๐‘Ž๐‘๐‘’^2 Corrections and Formula
  • 14. Solution 80 50 30 10 5 C% 1.022 1.108 1.162 1.188 1.174 v/V =-0.153*0.068 =-0.153*0.149 =-0.153*0.239 =-0.153*0.479 =-0.153*0.685 =4/6*0.159 =4/6*0.228 =4/6*0.260 =4/6*0.187 =4/6*0.137 1.118 1.238 1.299 1.239 1.174 -0.153*0.685+ 4/6*0.137 โˆ† v๐‘’ V ๐ต๐‘Ž๐‘๐‘˜ 0.926 0.978 1.025 1.137 1.174 +0.153*0.685- 4/6*0.137 โˆ† ve V ๐น๐‘Ž๐‘๐‘’ -0.249 -0.532 -0.687 -0.535 -0.349 โˆ† p q ๐ต๐‘Ž๐‘๐‘˜ 0.142 0.043 -0.05 -0.292 -0.408 โˆ† p q ๐น๐‘Ž๐‘๐‘’
  • 15. Solution S=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-new)* CL,OLD - 4/6*0.76 Correction=(S)- CL,New =(4/6*0.76)-0.66=-0.1053 (โˆ†va/V)๐‘๐‘’๐‘ค = (โˆ†va/V)๐‘œ๐‘™๐‘‘โˆ— ๐ถ๐‘œ๐‘Ÿ๐‘Ÿ๐‘’๐‘๐‘ก๐‘–๐‘œ๐‘› Correction=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-old) =4/6
  • 16. โˆ† p q ๐‘% 5 10 20 30 50 70 80 -0.1 0.0 -0.2 -0.3 -0.4 -0.5 -0.6 -0.7 1 0.1 0.2 0.3 0.4 0.5 0.6 0.7 1.0 Back Face
  • 17. E-mail: Hussein.Mohamed@eng.psu.edu.eg Mobil: +2 01555 96 888 1 Ph.D. and M.Sc. In Ship Hydrodynamics