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    Laminar Flow

    Rodney Bajnath, Beverly Beasley, Mike Cavanaugh

    AOE 4124March 29, 2004

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    Introduction

    Why laminar flow?

    Less skin friction Lower drag

    Skin Friction: Laminar vs. Turbulent

    0

    0.002

    0.004

    0.006

    0.008

    0.01

    1.0E+05 1.0E+06 1.0E+07

    Reynolds Number

    Laminar

    Turbulent

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    Natural Laminar Flow NACA 6-Series Airfoils

    Developed by conformal transformations, 30 50% laminar flow

    Advantages: Low drag over small operatingrange, high Clmax

    Disadvantages: Poor stall characteristics,susceptible to roughness, high pitch moment,very thin near TE

    Drag bucket: pressure distributions causetransition to move forward suddenly at end oflow-drag Cl range

    Minimum pressure at transition location

    NACA Report No. 824

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    Natural Laminar Flow

    NACA 6A-Series

    30 - 50% laminar flow

    Eliminated TE cuspEssentially same lift and

    drag characteristics as 6-

    series

    NACA Report No. 903

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    Comparison of NACA 6- and 6A-Series PressureDistributions

    -1

    -0.5

    0

    0.5

    0 0.2 0.4 0.6 0.8 1

    x/c

    NACA 64-012

    NACA 64-012A

    Natural Laminar Flow

    NACA 64-012: xtrupper = 0.5932, xtrlower = 0.5932

    NACA 64-012A: xtrupper = 0.6214, xtrlower = 0.6215

    XFOIL

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    Natural Laminar Flow NLF Airfoils

    Aft-loaded airfoils with cusp at TE (Wortmann or Eppler sailplane airfoils) Front-loaded airfoil sections with low pitching moments (Roncz-developed

    used on Rutan designs or canards)

    Also NASA NLF- and HSNLF-series, DU-, FX-, and HQ- airfoils

    Inverse airfoil design based on desired pressure distribution, capitalize onavailability of composites

    Low speed and high speed applications

    Codes used for design include Eppler/Somers and PROFOIL

    Up to 65% laminar flow

    Drag as low as 30 counts

    1. NASA Contractor Report No. 201686, 1997.

    2. Lutz, Airfoil Design and Optimization, 2000.

    3. Garrison, Shape of Wings to Come,Flying1984.

    4. NASA Technical Memorandum 85788, 1984.

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    Natural Laminar Flow: Case Study

    SHM-1 Airfoil for the Honda Jet

    Lightweight business jet, airfoil inversely designed, testedin low-speed and transonic wind tunnels, and flight tested

    Designed to exactly match HJ requirements High drag-divergence Mach number

    Small nose-down pitching moment

    Low drag for high cruise efficiency

    High Clmax

    Docile stall characteristics

    Insensitivity to LE contamination

    Fujino et al, Natural-Laminar-

    Flow Airfoil Development forthe Honda Jet.

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    Natural Laminar Flow: Case Study

    (Continued)

    Requirements

    Clmax = 1.6 for Re = 4.8x106, M = 0.134

    Loss of Cl less than 7% due to contamination

    Cm > -0.04 at Cl = 0.38, Re = 7.93x106, M = 0.7

    Airfoil thickness = 15%

    MDD > 0.70 at Cl = 0.38

    Low drag at cruise

    Fujino et al, Natural-Laminar-

    Flow Airfoil Development forthe Honda Jet.

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    Natural Laminar Flow: Case Study

    (Continued)

    Design MethodEppler Airfoil Design and Analysis Code

    Conformal mapping, each section designedindependently for different conditions

    MCARF and MSES Codes Analyzed and modified airfoil

    Improved Clmax and high speed characteristics Transition-location study

    Shock formation

    Drag divergence Fujino et al, Natural-Laminar-Flow Airfoil Development for

    the Honda Jet.

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    Natural Laminar Flow: Case Study

    (Continued) Specifications:

    Clmax = 1.66 for Re = 4.8x106, M = 0.134

    5.6% loss in Clmax due to LE contamination (WT)

    Cm = -0.03 at Cl = 0.2, Re = 16.7x106

    (Flight) Cm = -0.025 at Cl = 0.4, Re = 8x10

    6 (TWT)

    MDD = 0.718 at Cl = 0.30 (TWT)

    MDD = 0.707 at Cl = 0.40 (TWT)

    Cd = 0.0051 at Cl = 0.26, Re = 13.2x106

    (TWT) Cd = 0.0049 at Cl = 0.35, Re = 10.3x10

    6 (WT)

    Fujino et al, Natural-Laminar-

    Flow Airfoil Development for

    the Honda Jet.

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    Laminar Flow Control

    stabilize laminar boundary using distributed suction through a perforated

    surface or thin transverse slots

    plenum chamber

    outer skin

    inner skin

    Boundary layer thins and becomes fuller across slot

    Benefits

    A laminar b.l. has a lower skin friction coefficient (and thus lower drag)

    A thin b.l. delays separation and allows a higher CLmaxto be achieved

    Ref: McCormick, Aerodynamics, Aeronautics and Flight Mechanics, pg. 202.

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    Notable Laminar Flow Control Flight Test Programs

    Date Aircraft Test Configuration LF Result Comments

    1940 Douglas B-18

    (NACA)

    2-engine prop

    bomber

    NACA 35-215

    10x17 wing glove section

    suction slots first 45% chord

    LF to 45% chord

    (LF to min Cp)

    RC = 30x106

    Engine/prop noise

    effected LFsurface quality issues

    1955 Vampire

    (RAE)

    single engine jet

    upper surface wing glove

    suction - porous surface

    full chord suction

    full chord LF

    M~0.7 / RC=30x106

    Monel/Nylon cloth

    0.007 perforations

    1954-

    1957

    F-94(Northrup/USAF)

    jet fighter

    NACA 63-213

    upper surface wing glove

    suction 12, 69, 81 slots

    Full chord LF

    0.6 < M < 0.7

    RC = 36x106

    at Mlocal >1.09 shocks

    caused loss of LF

    1963-1965

    X-21(Northrup/USAF)

    jet bomber

    30 sweep

    new LF wings for program

    suction through nearly full spanslots both wings

    full chord LF

    RC = 47x106

    effects of sweep on LFencountered

    1985-1986

    JetStar

    (NASA)

    4-engine business jet

    two leading edge gloves

    Lockheed slot suction & liquidleading edge protection

    McDD perforated skin & andbug deflector

    LF maintained to frontspar through two years

    of simulated airlineservice

    no special maintenancerequired lost LF in

    clouds & during icing

    LE protection effective

    Ref: Applied Aerodynamic Drag Reduction Short Course Notes, Williamsburg,VA 1990.

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    Why Does LFC Reduces Drag?

    removes turbulent boundary layer

    XFOIL output

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    Why Does LFC Increases CLMAX?

    move boundary layer separation point aft

    x - ft

    -1.0 -0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0

    Cp

    0.0

    0.2

    0.4

    0.6

    0.8

    1.0

    -1.0(2196)

    -0.25(759)

    -0.0625(276) -0.015625(108)

    m = 1/4

    x0

    = 1.0 ft

    x0

    = 0.25 ft

    x0

    = 0.0625 ft

    x0

    = 0.015625 ftReynolds Number = 6x10

    6

    Ref: A.M.O. Smith, High Lift Aerodynamics, Journal of Aircraft, Vol. 12, No. 6, June 1975

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    Raspet Flight Research Laboratory Powered Lift Aircraft

    Piper L-21 Super Cub (1954)

    distributed suction - perforated skins

    CLMAX= 2.16 4.0

    2.0 Hp required for suction(Ref: Joseph Cornish, A Summary of the Present State of the Art inLow Speed Aerodynamics, MSU Aerophysics Dept., 1963.)

    Cessna L-19 Birddog (1956)

    distributed suction - perforated skins

    CLMAX= 2.5 5.0

    7.0 Hp required for suction(Ref: Joseph Cornish, A Summary of the Present State of the Art inLow Speed Aerodynamics, MSU Aerophysics Dept., 1963.)

    Photographs Courtesy of the Raspet Flight Research Laboratory

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    Suction Power Required for 23012 Cruise Condition

    leading edge x (ft) trailing edge

    0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

    -0.4

    -0.3

    -0.2

    -0.1

    0.0

    NACA 23012

    cruise CL = 0.410,000 ft.180 kts (303.6 ft/s)

    adverse pressure gradient

    dx

    dUv

    e

    w= 18.2

    Suction velocity required to maintainincipient separation of the laminar b.l

    and prevent flow reversal is given by:

    Joseph Schetz, Boundary Layer Analysis, Equation (2-37)

    0.035

    0.0025 dia

    45 chord

    12span45 x 12 grid 439,470 holes

    Preq = .00318 Hp / foot of span*

    *assumes:use highest vw and p in calculation

    discharge coefficient of 0.5pump efficiency of 60%

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    Laminar Flow Control Approaches

    leading edge x (ft) trailing edge

    0.0 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0

    -0.4

    -0.3

    -0.2

    -0.1

    0.0

    NACA 23012cruise C

    L= 0.4

    10,000 ft.180 kts (303.6 ft/s)

    adverse pressure gradient

    1). Leading Edge Protection

    2). Distributed Suction (perforated skin or slots)

    3). Hybrid Laminar Flow ControlRef: Applied Aerodynamic Drag Reduction Short Course Notes,.Williamsburg,VA 1990.

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    Laminar Flow Control Problems/Obstacles

    Sweep

    Attachment line contamination (fuselage boundary layer)

    Crossflow instabilities (boundary layer crossflow vortices)

    Manufacturing tolerances / structure

    Steps, gaps, waviness

    Structural deformations in flight

    System complexity

    Ducting and plenums

    Hole quantity and individual hole finish

    Surface contamination Bypass transition (3-D roughness)

    Insects, dirt, erosion, rain, ice crystals

    Ref: Applied Aerodynamic Drag Reduction Short Course Notes, Williamsburg,VA 1990.

    Ref: Mark Drela, XFOIL 6.9 User Guide, MIT Aero & Astro, 2001

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    Boundary Layer Transition Flight Tests on GlasAir

    Oil flow tests on GlasAir (N189WB)

    Raspet Flight Research Laboratory

    August 1995

    200 KIAS

    5500 ft pressure altitude

    Airfoil: LS(1)-0413mod GAW(2)

    Mean aerodynamic chord: 44.1 in.

    Re 7.5x106

    Cruise CL 0.2

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    Drag Benefit of Laminar Flow

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    CENTURIA

    4 Passenger Single Jet Engine GA Aircraft

    CompetitionCirrus SR22Cessna 182

    Targets existing General Aviation pilots

    Cost ~ $750,000

    International Senior Design ProjectVirginia Tech and Loughborough University

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    Centuria Design Details Cruise altitude 10,000ft

    Cruise Speed 185kts

    Range 770nm

    Take-off run 1575ft Aspect Ratio 9.0

    Wing Area 12.3m2/132.39ft2

    Thrust 2.877kN/647lbs

    MTOW 1360kg/2998lb

    Fuel Volume 773 litres/194 USG

    Stall Speed 68kts (Clean) 55kts (Flap)

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    Drawing byAnne Ocheltree & Nick Smalley

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    Calculating Laminar Flow60%

    100%Laminar Turbulent

    Laminar Turbulent

    Wing & Tail

    Fuselage

    0005.0Re

    328.1

    0032.0)144.01(Re)(log

    455.065.0258.2

    10

    ==

    =+

    =

    40% 100%

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    Fuselage Laminar to max thickness

    Wing60% LM flow upper and lower surface

    V-Tail60% LM flow upper and lower surface

    Structure SWET (in2

    ) Turb C d Lam C d % Reduction

    Wing 224.89 0.00875 0.00268 69.41

    Tail 58.39 0.00211 0.00070 67.05

    Fuselage 295.87 0.00975 0.00473 51.51

    SREF (in2

    ) 132.72

    Mcruise 0.29

    Recruise 5.88E+06

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    Reduction in Drag from Laminar flow

    0

    0.005

    0.01

    0.015

    0.02

    0.025

    Turb Cd Lam Cd

    Cd

    Fuselage

    Tail

    Wing

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    Centuria NLF Manufacturing Tolerances

    Rh,crit hcrit (in.)

    900 0.0072 inches

    1800 0.0143 inches

    2700 0.0215 inches

    15,000 0.1195 inches

    Carmichaels waviness 0.0139 inch/inchcriteria

    Ref: A.L. Braslow, Applied Aspects of Laminar-Flow Technology, AIAA 1990

    h

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    Conclusions

    Natural Laminar Flow Improvement of materials and computational methods allows

    inverse airfoil design for desired characteristics or specific

    configurations

    Laminar Flow Control LFC is a mature technology that has yet to become

    commercially viable

    Drag Benefit on Centuria

    61% reduction in skin friction drag due use of laminar flowon wings, tail and fuselage

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    ReferencesAbbott, I.,H., Von Doenhoff, A.,E., Stivers, L.,S., Summary of Airfoil Data, NACA Report 824, 1945.

    Loftin, L., K., Theoretical and Experimental Data for a Number of NACA 6A-Series Airfoil Sections, NACA Report 903, 1948.

    Drela, M., XFOIL 6.9 User Guide, MIT Aero & Astro, 2001.

    Green, Bradford, An Approach to the Constrained Design of Natural Laminar Flow Airfoils, NASA Contractor Report No. 201686, 1997.

    Lutz, Th.,Airfoil Design and Optimization, Institute of Aerodynamics and Gas Dynamics, University of Stuttgart, 2000.

    Garrison, P., The Shape of Wings to Come, Flying Magazine, November 1984.McGhee,R.,J., Viken, J.,K., Pfenninger, W., Beasley, W.,D., Harvey, W.,D., Experimental Results for a Flapped Natural-Laminar-Flow Airfoil with HighLift/Drag Ratio, NASA TM 85788, 1984.

    Fujino, M., Yoshizaki, Y., Kawamura, Y., Natural-Laminar-Flow Airfoil Development for the Honda Jet, AIAA 2003-2530, 2003.

    McCormick, B.,W.,Aerodynamics, Aeronautics and Flight Mechanics, 2nd Edition, John Wiley & Sons, New York, 1995.

    Applied Aerodynamic Drag Reduction Short Course, University of Kansas Division of Continuing Education, Williamsburg, VA 1990.

    Smith, A.,M.,O., High-Lift Aerodynamics, Journal of Aircraft, Volume 12, Number 6, June 1975.

    Schetz, J.,A.,Boundary Layer Analysis, Prentice Hall, Upper Saddle River, New Jersey, 1993.

    Cornish, J.,J., A Summary of the Present State of the Art in Low Speed Aerodynamics, Mississippi State University Aerophysics Department Internal

    Memorandum, 1963.Raymer, D.,P.,Aircraft Design: A Conceptual Approach , AIAA Education Series, 1989.

    Braslow, A.,L., Maddalon, D.,V., Bartlett, D.,W., Wagner, R.,D., Collier, F.,S., Applied Aspects of Laminar-Flow Technology, Appears in Viscous DragReduction in Boundary Layers, AIAA Progress in Astronautics and Aeronautics, Volume 123, 1990.