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Chapter 5 Airfoils Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Airfoil geometric characteristics include: 1- Mean camber line : The locus of points halfway between  the upper and lower surfaces as measured perpendicular  to the mean camber line. 2- Leading & trailing edges: The most forward and rearward  points of the mean camber line. 3- Chord line: The straight line connecting the leading and  trailing edges.
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Camber in percentage of chord  y c  = 0.02 C Position of camber in tenths of chord   x c  = 0.4 C Maximum thickness (t ) in percentage of chord (t/c) max  = 0.12 x c y c C
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University When multiplied by 3/2 yields the design lift coefficient C l  in tenths.  C l  = 0.3  When divided by 2, gives the position of the camber in percent of chord x c  = 0.15 C Maximum thickness (t ) in percentage of chord (t/c) max  = 0.12
[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Series designation 6 Location of minimum pressure in tenths of chord (0.4 C) Design lift coefficient in tenths (0.2) Maximum thickness (t ) in percentage of chord (t/c) max  = 0.12 ► Note that this is the series of laminar airfoils .  Comparison of conventional and laminar flow airfoils  is shown in the following Figure.
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Conventional Airfoil Pressure distribution On upper surface
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Laminar Airfoil Pressure distribution On  upper surface
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Assignment 1 : Meaning of numbering system for NACA 1-series, NACA 7-Series, and NACA 8- Series.
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University #  Moment on Airfoil
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University M c/4  is function of angle of attack  α , i.e. its value depends on  α  .
[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University For an airplane in flight, L, D, and M depend on: 1- Angle of attack  α 2- Free-stream velocity V ∞ 3- Free-stream density  ρ ∞  , that is, altitude 4- Viscosity coefficient µ ∞ 5- Compressibility of the airflow which is governed by
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University L α (V ∞ ,  ρ ∞ , µ ∞  , a ∞ , S) = const 1 L V ∞ 2 3 ρ ∞ 4 5 6 L L L L µ ∞ a ∞ S Therefore, 6 experiments are required for each dependent variable. ( α ,  ρ ∞ , µ ∞  , a ∞ , S) ( α ,  V ∞ , µ ∞  , a ∞ , S) = const = const ( α ,  V ∞ ,  ρ ∞ , a ∞ , S) = const ( α ,  V ∞ ,  ρ ∞ ,  µ ∞ , S) = const ( α ,  V ∞ ,  ρ ∞ ,  µ ∞ ,  a ∞ ) = const
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University - C M = M/ q ∞ S C = Moment coefficient and  q ∞  = ½  ρ ∞  V 2 ∞  , C = Airfoil chord  - Re =  ρ ∞  V ∞  C/ μ ∞  = Reynolds number - M ∞  = V ∞  / a ∞  = Mach number ► Note : 1- For airfoil ( 2D flow )  S = C x 1 2- C L   c l  ,   L  l 3- C D   c d  ,  D  d 4- C M   c m   ,  M  m Dynamic similarity parameters Per unit span
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University c l  and c m,c/4  versus  α NACA 2415 Mach number is not included
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University c d  and c m,ac  versus c l NACA 2415 Mach number is not included
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Mach number is not included
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Mach number is not included
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Flow mechanism associated with stalling Separated flow
[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Separated flow *It is of critical importance  in airplane design. *It is caused by flow  separation on the upper  surface of the airfoil due to  high adverse pressure  gradient. *When separation occurs,  the lift decreases  drastically, and the drag  increases suddenly.
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
Prof. Galal Bahgat Salem Aerospace Dept. Cairo University v/v ∞ s 1 /d 1  , s 2 /d 2 ,[object Object],[object Object],[object Object],[object Object],[object Object]
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Prof. Galal Bahgat Salem Aerospace Dept. Cairo University

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Aer 101 chapter 5

  • 1. Chapter 5 Airfoils Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
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  • 3. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
  • 4. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Airfoil geometric characteristics include: 1- Mean camber line : The locus of points halfway between the upper and lower surfaces as measured perpendicular to the mean camber line. 2- Leading & trailing edges: The most forward and rearward points of the mean camber line. 3- Chord line: The straight line connecting the leading and trailing edges.
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  • 9. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
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  • 12. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Conventional Airfoil Pressure distribution On upper surface
  • 13. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Laminar Airfoil Pressure distribution On upper surface
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  • 19. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University M c/4 is function of angle of attack α , i.e. its value depends on α .
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  • 23. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University L α (V ∞ , ρ ∞ , µ ∞ , a ∞ , S) = const 1 L V ∞ 2 3 ρ ∞ 4 5 6 L L L L µ ∞ a ∞ S Therefore, 6 experiments are required for each dependent variable. ( α , ρ ∞ , µ ∞ , a ∞ , S) ( α , V ∞ , µ ∞ , a ∞ , S) = const = const ( α , V ∞ , ρ ∞ , a ∞ , S) = const ( α , V ∞ , ρ ∞ , µ ∞ , S) = const ( α , V ∞ , ρ ∞ , µ ∞ , a ∞ ) = const
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  • 28. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
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  • 31. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University c d and c m,ac versus c l NACA 2415 Mach number is not included
  • 32. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Mach number is not included
  • 33. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University Mach number is not included
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  • 38. Prof. Galal Bahgat Salem Aerospace Dept. Cairo University
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