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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??
 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
 National Advisory Committee for Aeronautics (NACA).
 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
• Correction due to thickness
• Correction due to angle of attack
• Correction due to Camber
S=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-new)* CL,OLD -
Correction=(S)- CL,New
(𝐯/𝐕)𝑵𝒆𝒘 = ((𝐯/𝐕)𝒐𝒍𝒅
-1)*(𝐭)𝐧𝐞𝐰/(𝐭)𝐨𝐥𝐝 ]+1
Correction=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-old)
(∆𝐯/𝐕)𝑵𝒆𝒘 = (∆𝐯/𝐕)𝒐𝒍𝒅∗ 𝑪𝒐𝒓𝒓𝒆𝒄𝒕𝒊𝒐𝒏
(∆va/V)𝑁𝑒𝑤 = (∆v/V)𝑜𝑙𝑑∗ 𝐶𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛
Corrections and Formula Represent the angle of attack, lift coefficient CL
Represent the thickness
Represent the thickness of camber
Back (B)
Face (F)
• ∆ v V 𝐵𝑎𝑐𝑘 =
𝑣
𝑉
+
∆va
V
+ ∆ v V
• ∆ v V 𝐹𝑎𝑐𝑒 =
𝑣
𝑉
−
∆va
V
− ∆ v V
• ∆ p q 𝐵𝑎𝑐𝑘 = 1 − ∆ ve V 𝐵𝑎𝑐𝑘^2
• ∆ p q 𝐹𝑎𝑐𝑒 = 1 − ∆ v𝑒 V 𝐹𝑎𝑐𝑒^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
∆ v𝑒 V 𝐵𝑎𝑐𝑘
0.926
0.978
1.025
1.137
1.174
+0.153*0.685-
4/6*0.137
∆ ve V 𝐹𝑎𝑐𝑒
-0.249
-0.532
-0.687
-0.535
-0.349
∆ p q 𝐵𝑎𝑐𝑘
0.142
0.043
-0.05
-0.292
-0.408
∆ p q 𝐹𝑎𝑐𝑒
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
(∆va/V)𝑁𝑒𝑤 = (∆va/V)𝑜𝑙𝑑∗ 𝐶𝑜𝑟𝑟𝑒𝑐𝑡𝑖𝑜𝑛
Correction=(Max. of camber thickness NACA-new/ Max. of camber thickness NACA-old) =4/6
∆ p q
𝑐%
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)