Aiplane Aerodynamics

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    DANGER

    JET

    INTAKE

    Centerof Gravity

    AerodynamicCenter

    LIFT

    WEIGHT

    DRAGTHRUST

    High Ratio

    Low Ratio

    High

    Low

    L

    AOA

    C

    THICKNESS-TO-CHORD RATIO

    AOA

    CL

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    PRESSURETEMPERATURE

    DENSITY

    ALTITUDE

    36,000 FT

    LC max

    LC

    StallRegion

    AOA

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    Cdi=

    (CL)2

    AR

    DRAG

    Fixed Wing

    VELOCITY (KIAS)Low

    AOA

    High

    Total

    Drag

    L/DMax

    Parasite Drag

    Induced Drag

    LowHigh

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    Roll

    LATERALAXIS

    VERTICALAXIS

    LONGITUDINALAXIS

    Pitch

    Yaw

    CENTER OF GRAVITY

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    TIMETIMEDISPLACEMENT

    DISPLACEMENT

    NON-OSCILLATORY OSCILLATORY

    POSITIVE STATIC STABILITY

    Equilibrium

    Tendency to Return to Equilibrium

    POSITIVE DYNAMIC STABILITY:

    DISPLACEMENT

    Initial Displacement

    (Positive Static)(Positive Dynamic)

    (Positive Static)(Positive Dynamic)D

    ISPLACEMENT

    TIMETIMEDISPLACEMEN

    T

    DISPLACEMEN

    T

    NON-OSCILLATORY OSCILLATORY

    NEGATIVE STATIC STABILITY

    Equilibrium

    Tendency to Continuein Displacement Direction

    NEGATIVE DYNAMIC STABILITY:

    TIMETIMEDISPLACEME

    NT

    DISPLACEME

    NT

    NON-OSCILLATORY OSCILLATORY

    NEUTRAL DYNAMIC STABILITY:

    (Neutral Static)(Neutral Dynamic)

    (Positive Static)(Neutral Dynamic)

    NEUTRAL STATIC STABILITY

    Equilibrium Encounteredat Any Point of Displacement

    the amplitude of motion of a disturbed objectdecreases with time.

    the amplitude of motion of a disturbedobject remains constant with time.

    the amplitude of motion of a disturbedobject increases with time.

    (Positive Static)(Negative Dynamic)

    (Negative Static)(Negative Dynamic)

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    STABLE

    Center ofGravity

    AerodynamicCenter

    Pitching Moment

    NEUTRAL

    Center ofGravity

    AerodynamicCenter

    Pitching Moment

    UNSTABLE

    Center ofGravity

    Pitching Moment

    AerodynamicCenter

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    WITH DIHEDRAL

    Less Lift

    More Lift

    More Stable

    WITHOUT DIHEDRAL

    Destabilizing

    Neutral

    Stabilizing

    Center ofGravity

    Centerof Lift

    Center

    of Lift

    Center ofGravity

    Centerof Lift

    Center ofGravity

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    AerodynamicLimitNegative

    +AerodynamicLimitPositive

    LOADFACTORG FORCE

    0

    VELOCITY INCREASE

    0

    Stall

    Stall

    DAMAGE

    DAMAGE

    ULTIMATE STRUCTURAL LIMIT, POSITIVE

    ULTIMATE STRUCTURAL LIMIT, NEGATIVE

    STRUCTURAL LIMIT, POSITIVE

    FAILURE

    FAILURE

    _

    STRUCTURAL LIMIT, NEGATIVE

    AeroelasticLimit

    CorneringSpeed

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    DIRECTION OF MOTIONAll waves generated at equal time intervals

    Point Source for Pressure Waves

    NO MOTION SUBSONIC SONIC (MACH 1.0)a. b. c.

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    Bow Wave

    SubsonicFlow

    ObliqueShock

    Waves

    Turbulent Air(Subsonic)

    Turbulent BoundaryLayer (Subsonic)

    SupersonicFlow

    ExpansionWave Fan

    M = 1.05

    Expansion Wave Fan

    60

    10

    20

    30

    40

    50

    40200-20-40-60-80

    Temperature (C)

    Speed of Sound (Knots)

    Temperature

    Speed of SoundPressureAltitude

    (1,000 Ft.)

    0

    570 600 630 660

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    MAXIMUM LOCAL VELOCITY IS LESS THAN SONIC

    MCRIT = .80 Mach for T-45

    Flow Accelerates to above Flight Mach

    Sonic Flow (m = 1)

    FLIGHT MACH IS LESS THAN ONE

    SupersonicFlow

    Normal Shock Wave

    Subsonic Possible Separation

    Force Divergent Mach Number = 0.85 for T-45

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    Normal Shock Wave

    SupersonicFlow

    Normal Shock Wave

    Separation

    Supersonic Flow

    Separation

    Supersonic Flow

    ObliqueShock Wave

    ObliqueShock Wave

    Force Divergent Mach Number

    VELOCITY

    0.8 0.85 1.0 1.2

    DRAGCOEFFICIENT

    MCRIT

    CD

    CD

    Total Drag

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    Force Divergent Mach Number

    VELOCITY

    0.8 0.85 1.0 1.2

    DRAGCOEFFICIENT

    MCRIT

    CD

    CD

    Total Drag

    Supersonic Flow

    Supersonic Flow

    Oblique

    Shock Wave

    Oblique

    Shock Wave

    Lower

    SupersonicFlow

    Separation

    Subsonic

    Bow Wave

    Supersonic Flow

    Supersonic Flow

    Separation

    Oblique

    Shock

    Wave

    ObliqueShock

    Wave

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    Compression Wave

    Vortex

    LiftCoefficient

    Span LocationRoot Tip

    TransonicLiftDistribution

    SmoothLiftDistribution

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    HIGH THICKNESS - TO - CHORD RATIO

    LOW THICKNESS - TO - CHORD RATIO

    Wing Horizontal Tail

    IncreasedDownwash

    WingHorizontal Tail

    Vortex

    ResultantFlow

    TypicalFlow

    T/C RATIO

    1:2

    T/C RATIO

    1:1

    5 5

    510

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    0 1.0 2.0 3.0

    0

    30

    45

    60

    MACH NUMBER, M

    DRAGCOEFFICIENT

    CD

    SWEEP ANGLE,

    C

    SWEPT WING

    STRAIGHT WING SWEPT WING

    Flow OverWing

    Spanwise Flow

    Flow Producing Lift

    DP

    V

    STRAIGHT WING

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    Separation

    Ineffective

    Effective

    Effective

    Ineffective

    Separation

    Separation

    IneffectiveEffective

    Effective Ineffective

    Separation

    No direct feedback between the stick andcontrol surface. Stick input ports hydraulic fluidto the actuator effecting control surface

    Control stick "feel" is artificial.

    IRREVERSIBLE(NO FEEDBACK FROM CONTROL SURFACES)

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    Direct mechanical connection between

    rudder pedals and control surface.

    NO HYDRAULIC ASSIST TO CONTROL INPUTS.

    FEEDBACK PROVIDED BY DIRECT LINKAGE.

    SupersonicAirflow

    NormalShock

    Wave

    ObliqueShock

    Wave

    SlowerSupersonic Subsonic Engine

    ENGINE INLET

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    30

    VORTEX GENERATOR

    SIDE VIEW

    NOTE: All Dimensions in mm51.

    17.

    CL

    12 3 4 5 6 7 8 9

    10

    11

    12

    13

    14

    15

    16

    17

    18

    19

    PLANFORM VIEWNot To Scale

    BL 2120.

    BL 2408.

    BL 4052.

    BL 4589.5

    144.

    137.

    107.5

    10

    25%CHORD

    BL 4698.

    20

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    With Stabilization Strips

    Added to Tail and Rudder

    Bow Wave

    StabilizedShock Wave

    Stabilized

    Shock Wave

    Rudder

    Without Stabilization Strips

    Bow Wave

    MovingShock Wave

    Rudder

    MovingShock Wave

    0.20"

    0.70"

    Cross Section ofRudder Shock

    Stabilization Strip

    VERTICAL FIN

    PLANFORM VIEW

    50% Chord

    Rudder Shock

    Stabilization Strips

    2.0"

    AS SHOCK WAVE APPEARS,AERODYNAMIC CENTER MOVES AFT

    Shock Wave

    Center ofGravity

    Aerodynamic Center

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    SmoothLiftDistribution

    LiftCoefficient

    Root Span Location Tip

    TransonicLiftDistribution

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    +

    +Stall Point

    Stall Develops

    Stall Begins Deep Stall

    Straight Wing

    Swept Wing

    AOA0

    LIFT

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    Unstable

    Region of Stall

    Center of Pressure

    Center of Gravity

    Aerodynamic Center

    Slat Leading Edge

    Stall Strip

    WUSS Stall Strip

    AIRFLOW

    Stall Strip

    Leading Edge

    of Main Wing

    Slat Leading Edge

    Stall Strip

    Slat Leading Edge

    WUS

    S

    Slat

    WING

    WUSS Stall Strip

    Wing Leading Edge

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    3 1/2

    CL

    ConstantIncidence

    Wing

    AOA in Degrees

    ROOT

    TIP

    CL

    Tip WithoutGeometric Twist

    Root WithoutStall Strips

    AOA

    CL

    AOA

    Root WithStall Strips

    Tip WithGeometric Twist

    Adding Stall Strips tothe Root Causes theRoot to Stall Earlier (Ata Lower AOA)

    Adding GeometricTwist Causes the Tip toStall Later (At a HigherAOA)

    3 1/2

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    CL

    WING

    WINGWITHFLAP

    S

    AOA in Degrees

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    STABILATORVANE

    (CL) max

    (CL) max

    STRAIGHTWING

    SWEPTWING

    (CL)

    Coefficientof Lift

    Angle Of Attack (AOA)

    CL

    AIRFLOWAOA in Degrees

    DOWNWASH

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    ARTIFICIAL STALL

    WARNINGSTALL BUFFET STALL

    NOTE: All Speeds Are KIAS Above Stall Speed

    CLEAN

    APPROACH

    21.5 Units / 10 KIAS 25 Units / 1-2 KIAS 26 Units / 0 KIAS

    29-30 Units / 0 KIAS28 Units / 1 KIAS21.5 Units / 10 KIAS

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    PHASE COCKPIT INDICATIONS

    Normal FlightENTRYINPUT

    RECOVER

    Y

    AOA above stallREDUCE

    STICK FORCESTALL

    DEPARTUREAircraft no longer responds tocontrol inputs

    NEUTRAL

    CONTROLS

    INDUCED YAW

    POST - STALLGYRATIONS

    AOA turn needle,and airspeed oscillation

    NEUTRAL

    CONTROLS

    INCIPIENT

    SPIN

    AOA and turn needle

    pegged; airspeed oscillation ANTI - SPIN

    CONTROLSAOA and turn needlepegged; airspeed steady oroscillating slightly

    STEADY -STATESPIN

    SUSTAINED YAW

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    RUDDER

    AIRFLOW

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    45-DEGREE TRUE AOA SPIN INDICATIONS30-DEGREE TRUE AOA SPIN INDICATIONS

    28 Units or More AOA

    Positive G

    Turn Needle in Direction of Spin

    180 KIAS

    1,200 Feet / Turn

    10 Turns / Minute

    30 Units AOA

    Positive G

    Turn Needle in Direction of Spin

    100 to 110 KIAS

    1,000 Feet / Turn

    15 Turns / Minute30

    45

    45

    60

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    Altitude Loss Per Turn 1,000 ft

    Airspeed 50 to 120 kts

    15 - 20 Turns / Minute

    -60AOA

    -30 Pitch-60AOA Spin

    -40AOA Spin-50Pitch

    Airspeed 100 - 160 kts

    15 - 20 Turns / Minute

    Altitude Loss Per Turn 1,000 ft

    -40AOA

    -25AOA Spin

    -65Pitch

    Airspeed 140 - 200 kts

    10 Turns / Minute

    Altitude Loss Per Turn 1,100 ft

    0 Units AOA

    Negative G

    Turn Needle in Direction of Spin

    Steady State IAS

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    PHASE COCKPIT INDICATIONS

    Normal FlightENTRYINPUT

    R

    ECOVERY

    AOA above stallREDUCE

    STICK FORCESTALL

    DEPARTURE Aircraft no longer responds tocontrol inputs

    NEUTRAL

    CONTROLS

    INDUCED YAW

    POST - STALLGYRATIONS

    AOA turn needle,and airspeed oscillation

    NEUTRAL

    CONTROLS

    INCIPIENTSPIN

    AOA and turn needlepegged; airspeed oscillation ANTI - SPIN

    CONTROLSAOA and turn needlepegged; airspeed steady oroscillating slightly

    STEADY -STATESPIN

    SUSTAINED YAW

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    30

    1010

    20

    0ANGL

    E

    OFATT

    ACK

    OFF

    WHEELS

    Transmitter ProbeCarrierApproachLights

    AOA Indexer

    AOA Indicator

    ADIDisplay

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    T- 45A T- 45C

    Digital AOA

    AOA Bracket

    Waterline

    Digital AOA

    AOA Bracket

    Velocity Vector

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    AN AIRCRAFT MUST POSSESS ADEQUATE

    STABILITY TO MAINTAIN A FLIGHT PATH

    AND

    BE MANEUVERABLE ENOUGH TO

    ACCOMPLISH ITS MISSION

    CONTROL STABILITY

    CONTROLLABILITY AND STABILITY

    ARE A TRADEOFF

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    13,500

    13,000

    12,500

    12,000

    11,500

    11,000

    10,500

    10,000

    9 11 13 15 17 19 21 23 25

    AftGearUp

    AftGearDown

    Upper

    FuselageFuel

    LowerFuselage

    Fuel

    OuterWing

    Fuel

    CenterWingFuel

    Forward

    Limit

    2Crew

    Mem

    bers

    GearUp

    GearDown

    (less

    than

    0.8

    Mac

    h)

    C. G. - %M.A.C.

    AIRCRAFTWEIGHT(LBS.)

    Mean

    AerodynamicChord

    AERODYNAMIC CENTER

    CENTER OF PRESSURE

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    STABILATORVANE

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    Yawing Moment AboutDownwind Gear

    Less Drag

    WIND

    More Drag

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    ExhaustCombustion

    Section

    VinorV1

    VexhorV2

    Compressor

    Section

    Turbine

    N1Compressor

    N

    Compressor2 NN 2 1

    Turbines

    Section

    Exhaust

    Section

    AfterburnerCombustion

    Section

    VariableExhaust

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    N1Compressor

    N

    Compressor2

    Fan(Outboard)

    Combustion

    Section

    NN

    21

    Turbines

    Section

    Exhaust

    AirCombustionand Exhaust

    Bypass Duct

    Bypass Duct

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    20 30 40 50 60 70 80 90 100

    20

    40

    55

    75

    90

    100

    % RPM

    %T

    hrustAvailable

    T-45

    Theoretical

    SEA LEVEL STANDARD DAY

    JET ENGINE RPM THRUSTVS.

    100

    100

    99

    97

    95

    84

    90

    69

    80

    46

    70

    29

    % of MAXRPM

    % of MAXTHRUST

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    0 100 200 300 400 500 600 700 800

    5,200

    5,400

    5,600

    5,800

    6,000

    Calibrated Airspeed - Knots

    Thrust(lbs.)

    5,000

    Actual

    Theoretical

    Ta= Q (V2- V1)

    AIRSPEED

    THRUST

    Ta

    V2- V1EFFECT

    RAM EFFECT (Q)

    ALTI

    TUDE

    0.4 0.6 0.8 1.0SEALEVEL

    5,000

    10,000

    15,000

    20,000

    25,000

    30,000

    35,000

    40,000

    45,000

    50,000

    THRUST

    DENSITY

    TROPOPAUSE

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    THRUST

    KTAS

    T SEA LEVEL

    T FL 350

    SEA LEVEL

    FL 350

    r

    r

    Vmr

    Vmr

    30 40 50 60 70 80 90 100 110

    1,000

    2,000

    3,000

    4,000

    5,000

    % RPM

    Thrust(lbs.)

    - 42F. Day

    Standard Day

    0

    105F. Day

    6,000

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    (L/D)MAX

    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    ThrustorDrag(lbs.)

    0

    6,000

    200 300 400 500 600

    DT= Tr

    SEA LEVEL

    STANDARD DAY

    (CLEAN)

    (L/D)MAX

    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thrus

    t(lbs.)

    0

    6,000

    200 300 400 500 600

    SEA LEVELSTANDARD DAY

    (CLEAN)

    VMR

    Tr

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    (L/D)MAX

    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thrust(lbs.)

    0

    6,000

    200 300 400 500 600

    T

    SEA LEVEL

    STANDARD DAY(CLEAN)

    T at Sea Level

    VH

    a

    r

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thrust(lbs.)

    0

    6,000

    Region ofNormal

    Command

    Total Drag

    Region ofReverse

    Command Tr

    (L/D)MAX

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    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thru

    st(lbs.)

    0

    6,000

    200 300 400 500 600

    at Sea Level

    10,000 LBS.

    12,000 LBS.

    (L/D)MAX

    aT

    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thrus

    t(lbs.)

    0

    6,000

    200 300 400 500 600

    -SL

    T at Sea Level

    VMRFL 350

    TrTr

    a

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    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thrus

    t(lbs.)

    0

    6,000

    200 300 400 500 600

    at Sea Level

    TrHIGHER DRAG

    (L/D)MAX

    TrLOW DRAG

    aT

    0 100

    1,000

    2,000

    3,000

    4,000

    5,000

    TRUE AIRSPEED - KNOTS

    Thrus

    t(lbs.)

    0

    6,000

    200 300 400 500 600

    at Sea Level

    14 units

    23 unitsCLEAN

    APPROACHCONFIGURATION

    17 units

    aT

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