Post on 31-May-2020
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
Dr. HDr. Hui Huui Hu
Department of Aerospace EngineeringDepartment of Aerospace EngineeringIowa State University Iowa State University
Ames, Iowa 50011, U.S.AAmes, Iowa 50011, U.S.A
Lecture # 08: Boundary Layer Flows and DragLecture # 08: Boundary Layer Flows and Drag
AerEAerE 311L & AerE343L Lecture Notes311L & AerE343L Lecture Notes
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
AerE343L #4: Hot wire measurements in the wake of an airfoilAerE343L #4: Hot wire measurements in the wake of an airfoil
yy
xx
80 mm80 mm
Pressure rake with 41 total pressure probes(the distance between the probes d=2mm)
Hotwire probe
Test conditions: Velocity: V=15 m/sAngle of attack: AOA=0, and 12 deg.Date sampling rate: f=1000HzNumber of samples: 10,000 (10s in time)No. of points: 20~25 pointsGap between points: ~0.2 inches
Lab#3Lab#3
Lab#4Lab#4
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AerE343L #4: Hot wire measurements in the wake of an airfoilAerE343L #4: Hot wire measurements in the wake of an airfoil
Hotwire probeLab#4Lab#4
FFT 0
4
8
12
16
20
0 1000 2000 3000 4000
time sequence with data sampling rate of 1000 HzFo
rce
-Z c
ompo
nent
(N)
0500
10001500200025003000
5 10 15 20 25 30
Freqency (Hz)
arbi
tary
sca
le
X/C *100
Y/C
*100
-40 -20 0 20 40 60 80 100 120 140
-60
-40
-20
0
20
40
60
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
AerE343L #4: Hot wire measurements in the wake of an airfoilAerE343L #4: Hot wire measurements in the wake of an airfoil
Hotwire probe
Lab#4Lab#4
Required data for the lab report: 1. Wake velocity profiles at AOA =0 and 12 deg2. Wake turbulence intensity profiles at AOA =0 and 12 deg.3. Estimated drag coefficients at AOA=0, and 12 deg.4. FFT transformation to find vortex shedding frequency in the wake of the airfoil5. Discussions based on the measurement results
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
Boundary Layer FlowsBoundary Layer Flows
wallw y
U∂∂
= μτ
XXYY
Which one will induce Which one will induce more drag? more drag? Laminar boundary layer? Laminar boundary layer? Turbulent boundary layer? Turbulent boundary layer?
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CONVENTIONAL AIRFOILS and LAMINAR FLOW AIRFOILS
• Laminar flow airfoils are usually thinner than the conventional airfoil.
• The leading edge is more pointed and its upper and lower surfaces are nearly symmetrical.
• The major and most important difference between the two types of airfoil is this, the thickest part of a laminar wing occurs at 50% chord while in the conventional design the thickest part is at 25% chord.
• Drag is considerably reduced since the laminar airfoil takes less energy to slide through the air.
• Extensive laminar flow is usually only experienced over a very small range of angles-of-attack, on the order of 4 to 6 degrees.
• Once you break out of that optimal angle range, the drag increases by as much as 40% depending on the airfoil
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Flow SeparationFlow Separation
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Aerodynamic Performance of An AirfoilAerodynamic Performance of An Airfoil
X/C *100
Y/C
*100
-20 0 20 40 60 80 100 120
-40
-20
0
20
40
60
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
0.2
0.4
0.6
0.8
1.0
1.2
1.4
0 2 4 6 8 10 12 14 16 18 20
CL=2παExperimental data
Angle of Attack (degrees)
Lift
Coe
ffici
ent,
Cl
0
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
0 2 4 6 8 10 12 14 16 18 20
Experimental data
Angle of Attack (degrees)
Dra
g C
oeffi
cien
t, C
d
X/C *100
Y/C
*100
-40 -20 0 20 40 60 80 100 120 140
-60
-40
-20
0
20
40
60
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
Airfoil stallAirfoil stall
Airfoil stallAirfoil stall
Before stallBefore stall
After stallAfter stallcV
DCd2
21
∞
=ρ
cV
LCl2
21
∞
=ρ
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
Flow Separation and Transition on LowFlow Separation and Transition on Low--ReynoldsReynolds--number Airfoilsnumber Airfoils
•• LowLow--ReynoldsReynolds--number airfoil (with number airfoil (with Re<500,000) aerodynamics is important for Re<500,000) aerodynamics is important for both both military military and and civiliancivilian applicationsapplications, such as , such as propellers, sailplanes, ultrapropellers, sailplanes, ultra--light manlight man--carrying/mancarrying/man--powered aircraft, highpowered aircraft, high--altitude altitude vehicles, wind turbines, unmanned aerial vehicles, wind turbines, unmanned aerial vehicles (vehicles (UAVsUAVs) and Micro) and Micro--AirAir--Vehicles Vehicles ((MAVsMAVs).).
•• Since Since laminar boundary layerslaminar boundary layers are are unable tounable towithstand withstand any significant any significant adverse pressure adverse pressure gradientgradient, laminar flow separation is usually , laminar flow separation is usually found on lowfound on low--ReynoldsReynolds--number airfoils. number airfoils. PostPost--separation behaviorseparation behavior of the laminar boundary of the laminar boundary layers would affect the aerodynamic layers would affect the aerodynamic performances of the lowperformances of the low--ReynoldsReynolds--number number airfoils significantlyairfoils significantly
• Separation bubbles are usually found to formon the upper surfaces of lowlow--ReynoldsReynolds--number number airfoilsairfoils . Separation bubble would burstsuddenly to cause airfoil stall at high AOA when the adverse pressure gradient becoming too big.
0.1
0.3
0.5
0.7
0.9
1.1
1.3
1.5
1.7
1.9
4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
0.1
0.3
0.5
0.7
0.9
1.1
1.3
1.5
1.7
1.9
Thin airfoil theoryCL (Re=68,000)CD (Re=68,000)
angle of attack (degree)
C L
CD
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-0.10-0.05
00.050.100.15
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0
X/C
Y/C
-3 .0
-2 .5
-2 .0
-1 .5
-1 .0
-0 .5
0
0 .5
1 .0
1 .50 0 .1 0 .2 0 .3 0 .4 0 .5 0 .6 0 .7 0 .8 0 .9 1 .0
A O A = 06 degA O A = 08 degA O A = 09 degA O A = 10 degA O A = 11 degA O A = 12 degA O A = 14 deg
X / CC
P
Separation pointSeparation point
Turbulence transitionTurbulence transition
Reattachment pointReattachment point
Surface Pressure Coefficient distributions (Re=68,000)Surface Pressure Coefficient distributions (Re=68,000)
Typical surface pressure distribution when a laminar Typical surface pressure distribution when a laminar separation bubble is formed (Russell, 1979)separation bubble is formed (Russell, 1979)
7 .5
8 .0
8 .5
9 .0
9 .5
10 .0
10 .5
11 .0
11 .5
12 .0
0 0 .05 0 .10 0 .15 0 .20 0 .25 0 .30 0 .35 0 .40 0 .4 5 0 .50
T ra n s itio n R e a tta ch m e n tS e p a ra tio n
X /C
AOA
(deg
ree)
GA (W)GA (W)--1 airfoil1 airfoil(also labeled as NASA LS(1)(also labeled as NASA LS(1)--0417 )0417 )
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
Laminar Separation Bubble on a LowLaminar Separation Bubble on a Low--ReynoldsReynolds--number Airfoilnumber Airfoil
PIV measurement results at AOA = 10 deg, Re=68,000 PIV measurement results at AOA = 10 deg, Re=68,000
X/C*100
Y/C
*100
-5 0 5 10 15 20 25 30 35
0
5
10
-18.0 -14.0 -10.0 -6.0 -2.0 2.0 6.0 10.0 14.0 18.0
10 m/sGA (W)-1 airfoilSpawisevorticity
X/C*100
Y/C
*100
-5 0 5 10 15 20 25 30 35
0
5
10
U m/s: 2.0 4.0 6.0 8.0 10.0 12.0 14.0 16.0 18.0
GA (W)-1 airfoilreattachmentseparation
X/C*100
Y/C
*100
18 20 22 24 26 28 30 32 343
4
5
6
7
8
9
10
11
U m/s: 2.00 4.00 6.00 8.00 10.00 12.00 14.00 16.00 18.00
10 m/sReattachment
X/C*100
Y/C
*100
18 20 22 24 26 28 30 32 343
4
5
6
7
8
9
10
11
-25.0 -20.0 -15.0 -10.0 -5.0 0.0 5.0 10.0 15.0 20.0 25.0
SpanwiseVorticity(1/s * 103)
10 m/s
Instantaneous flow field Instantaneous flow field EnsembleEnsemble--averaged flow field averaged flow field
(Hu et al., ASME Journal of Fluid Engineering, 2008)(Hu et al., ASME Journal of Fluid Engineering, 2008)
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
Stall Hysteresis PhenomenaStall Hysteresis Phenomena
• Stall hysteresis, a phenomenon where stall inception and stall recovery do not occur at the same angle of attack, has been found to be relatively common in low-Reynolds-number airfoils.
• When stall hysteresis occurs, the coefficients of lift, drag, and moment of the airfoil are found to be multiple-valued rather than single-valued functions of the angle of attack.
• Stall hysteresis is of practical importance because it produces widely different values of lift coefficient and lift-to-drag ratio for a given airfoil at a given angle of attack. It could also affect the recovery from stall and/or spin flight conditions.
Increasing AOA
decreasing AOA
AOA – Angle of Attack
Lift
coef
ficie
nt
Lift coefficient curve of a “typical” airfoil Lift coefficient curve with stall hysteresisAOA – Angle of Attack
Increasing AOA
decreasing AOA
Lift
coef
ficie
nt
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Measured airfoil lift and drag coefficient profilesMeasured airfoil lift and drag coefficient profiles
-0.2
0
0.2
0.4
0.6
0.8
1.0
1.2
1.4
1.6
-4 -2 0 2 4 6 8 10 12 14 16 18 20
AOA increasingAOA decreasing
Angle of Attack (degree)
Lift
Coe
ffici
ent,
Cl
Hysteresis Hysteresis looploop
0
0.05
0.10
0.15
0.20
0.25
0.30
0.35
0.40
-4 -2 0 2 4 6 8 10 12 14 16 18 20
AOA increasingAOA decreasing
Angle of Attack (degree)
Dra
g C
oeffi
cien
t, C
d
HysteresisHysteresislooploop
•• The hysteresis loop was found to be The hysteresis loop was found to be clockwise in the lift coefficient profilesclockwise in the lift coefficient profiles, and , and countercounter--clockwise in the clockwise in the drag coefficient profilesdrag coefficient profiles. .
•• The aerodynamic hysteresis resulted in The aerodynamic hysteresis resulted in significant variations of significant variations of lift coefficient, lift coefficient, CCll, and lift, and lift--toto--drag ratio, l/d,drag ratio, l/d,for the airfoil at a given angle of attack. for the airfoil at a given angle of attack.
•• The lift coefficient and liftThe lift coefficient and lift--toto--drag ratio at drag ratio at AOA = 14.0AOA = 14.0 degrees were found to be degrees were found to be CCll = 1.33 and l/d = 23.5= 1.33 and l/d = 23.5when the angle is at the when the angle is at the increasing angle branch of the hysteresis loopincreasing angle branch of the hysteresis loop. .
•• The values were found to become The values were found to become CCll = 0.8= 0.8 and and l/d = 3.66l/d = 3.66 for the for the same AOA=14.0 degreessame AOA=14.0 degrees when the angle is when the angle is at the at the deceasing angle branch of the hysteresis loop deceasing angle branch of the hysteresis loop
GA(W)GA(W)--1 airfoil, 1 airfoil, ReReCC = 160,000= 160,000
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
8 9 10 11 12 13 14 15 16 17 18 19 20
AOA decreasing
AOA increasing
Angle of Attack (degree)
Lift
Coe
ffici
ent,
Cl
PIV Measurement resultsPIV Measurement results
X/C *100
Y/C
*100
-40 -20 0 20 40 60 80 100 120 140
-60
-40
-20
0
20
40
60
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
X/C *100
Y/C
*100
-20 0 20 40 60 80 100 120
-40
-20
0
20
40
60
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
X/C *100
Y/C
*100
-20 0 20 40 60 80 100 120
-40
-20
0
20
40
60
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
separation bubble
X/C *100
Y/C
*100
-40 -20 0 20 40 60 80 100 120 140
-60
-40
-20
0
20
40
vort: -4.5 -3.5 -2.5 -1.5 -0.5 0.5 1.5 2.5 3.5 4.5
shadow region
GA(W)-1 airfoil
25 m/s
(Hu, Yang, Igarashi, Journal of Aircraft, Vol. 44. No. 6 , 2007)(Hu, Yang, Igarashi, Journal of Aircraft, Vol. 44. No. 6 , 2007)
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2
1.3
1.4
1.5
8 9 10 11 12 13 14 15 16 17 18 19 20
AOA decreasing
AOA increasing
Angle of Attack (degree)
Lift
Coe
ffici
ent,
Cl
Refined PIV Measurement ResultsRefined PIV Measurement Results
X/C *100
Y/C
*100
-5 0 5 10 15 20 25 30 35-10
-5
0
5
10
15
20
25
-18.0 -14.0 -10.0 -6.0 -2.0 2.0 6.0
GA(W)-1 airfoil 25 m/s
X/C *100
Y/C
*100
-5 0 5 10 15 20 25 30 35-10
-5
0
5
10
15
20
25
vort: -18.0 -14.0 -10.0 -6.0 -2.0 2.0 6.0
GA(W)-1 airfoil 25 m/s
X/C *100
Y/C
*100
-5 0 5 10 15 20 25 30 35
-5
0
5
10
15
20
vort: -18.0 -14.0 -10.0 -6.0 -2.0 2.0 6.0
GA(W)-1 airfoil25 m/s
X/C *100
Y/C
*100
-5 0 5 10 15 20 25 30 35
-10
-5
0
5
10
15
20
vort: -18.0 -14.0 -10.0 -6.0 -2.0 2.0 6.0
GA(W)-1 airfoil25 m/s
(Hu, Yang, Igarashi, Journal of Aircraft, Vol. 44. No. 6 , 2007)(Hu, Yang, Igarashi, Journal of Aircraft, Vol. 44. No. 6 , 2007)
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!
Aerodynamics of Golf BallAerodynamics of Golf Ball
Copyright Copyright ©© by Dr. Hui Hu @ Iowa State University. All Rights Reserved!by Dr. Hui Hu @ Iowa State University. All Rights Reserved!X/D
Y/D
-101234
-1
0
1
2
U m/s: -10 -5 0 5 10 15 20 25 30 35 40
X/D
Y/D
-101234
-1
0
1
2 U m/s: -10 -5 0 5 10 15 20 25 30 35 40
X/D
Y/D
-101234
-1
0
1
2 U m/s: -10 -5 0 5 10 15 20 25 30 35 40
Smooth ball Rough ball Golf ball
-0.4
-0.2
0
0.2
0.4
0.6
0.8
1.0
-2.0 -1.5 -1.0 -0.5 0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
smooth-ballrough-ballgolf-ball
Distance (X/D)
Cen
terli
ne V
eloc
ity (U
/U∞)
Laminar Flows and Turbulence Flows
Re=100,000Re=100,000