Enhancing Aerodynamic Performance Estimate in small Aircraft Development using Object-Oriented Technique

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    Thesis TitleThesis TitleThesis TitleThesis Title

    Kwame Nkrumah University of Science andTechnology, Kumasi

    Department of Mechanical Engineering

    n anc ng ero ynam c er ormanceEstimate in small Aircraft Development

    using Object-Oriented Technique

    By

    YESUENYEAGBE ATSU KWABLA FIAGBE

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    Presentation Outline

    Background Information

    Research Problem Literature Survey

    -

    Research Goal & Objectives

    Research Activities

    Aircraft Performance Analysis Results

    Conclusion & Recommendations

    30-Mar-10 2

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    Background of Study Future of Small Aircraft Transportation

    The SATS Project (1985-Present, NASA and partners)

    High-volume operations at airports without control towers or terminal radarfacilities are possible

    Available Technologies enabling safe landings at more airports. Integration of Small aircrafts into a higher capacity air traffic control system

    Improved single-pilot ability to function competently in evolving, complexnational airspace

    Expected Leapfrog in Small Aircraft use Performance Estimate is based on Wing Profile

    30-Mar-10 3

    A SATS Aircraft Candidate, Hearst Corp. A New Civil Aviation Industry, NASA

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    Research Problem Performance Estimate is based on Wing Profile

    Lift & Drag coefficients & derived coefficient

    Aircraft Design ConceptF=F Fixed, Desi n

    30-Mar-10 4

    Performance Analysis

    Creation of Objects,Numerical wind

    Tunnel Development

    Subsonic Aircraft Design

    Mission Optimized Design ConfigurationObject Oriented Implementationof Design Concept

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    USAF: Digital DATCOM developed and used mainly for the controlsystem design

    Turevskiy at el, (1999) used combination of free and commercial off-the-shelf(COTS) modeling and simulation software and Digital Datcom for flightvehicle design process.

    Raymer, D. (2002) in his doctoral thesis uses Multidisciplinary Optimization(MDO) technique to enhance the conceptual design process of the aircraftdesign. He employed various techniques such as orthogonal steepest descent

    -

    Literature Survey as Related to Research

    Some Review of Related Works

    , ,

    options with his design code called RDS - selection of various components Neufeld, D et al (2007) developed Multi-Objective Genetic Algorithm

    (MOGA) optimizer to assist in the design process for Very Light Jet (VLJ) andUnmanned Aerial Vehicle (UAV). The total lift was projected from the winggeometry.

    Trevor S. Ferguson, (2007) Used Microsoft Excel spreadsheet to create anumerical RC design tool (Master thesis)

    In all these cases, the aerodynamic analysis is based on the wing geometryand coefficients to determine the projected lift and drag.

    30-Mar-10 5

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    Aircraft Shape & InfluenceConfiguration = Function(Aerodynamic*, Propulsion, Structure, Mission)

    30-Mar-10 6

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    Discipline of Aircraft Design Multidisciplinary Process

    Aerodynamics

    Structural Mechanics

    System Controls

    Propulsion

    Materials Engineering

    o ers

    Aircraft Design Stages

    Conceptual Design: shape, arrangement of componentsand such features as, size, weight and general performance are

    consideredPreliminary Design: specialists in areas e.g.. structures, landing

    gear, and control systems will design and analyze aircraft portion

    Detail Design: actual pieces to be fabricated are designed30-Mar-10 8

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    Object-Oriented Programming

    Object-Oriented programming (OOP) is a programming

    model that uses "objects" and their interactions to design

    applications and computer programs.

    30-Mar-10 9

    , ,

    and sending messages to other objects

    Each object is viewed as an independent little machine

    with a distinct role or responsibility

    Advantages: Makes program discrete units and re-usable,

    expandable and maintainable.

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    Research Goal & Objectives

    GoalDevelop Subsonic Aircraft Configurations with Optimal

    Performance Capability and Improve estimation ofAerodynamics Performance parameters

    Major Objectives:1. Develop Subsonic Aircraft Design Concept

    30-Mar-10 10

    2. Identify & Exploit Engineering Design Parameters toConstruct Aircraft Configurations with Optimal Capability

    3. Develop Object Oriented Program/Code to Implement theDesign Concept

    4. Develop Aerodynamic Analysis Tools to Evaluate theintegrated Aircraft Configurations

    5. Validate (Individual) Aircraft Subsystems & Tools

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    To achieve Objective 1: Develop Subsonic Aircraft Design Concept

    parameterDesignparametersFixedx_

    _

    )(xfF =

    ),( DragLiftePerformanc

    GeometryF

    Aircraft Design Concept

    30-Mar-10 11

    =s

    dsfFeperformanc

    ),( Pff=

    Euler Equation

    Boundary LayerEquation

    kSjLiDF ++=

    Drag Lift Slip force

    routings

    ononstructeometry

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    Vertical Tail

    LuggageCabin

    Tail Boom Aircraft

    Wing Fuselage EmpennageLanding

    Gear

    Mapping Aircraft Reality into OOP Environment

    To achieve Objective 3. Develop an Object Oriented Program/Code to Implements ADC

    30-Mar-10 12

    Nose

    Nose-CabinInterface

    Wing

    Cabin

    Horizontal TailPropeller

    NoseNoseCabin

    InterfaceCabin

    LuggageCabin

    HorizontalTail

    VerticalTail

    Tail Boom

    OO Implementation of the Design Concept (FORTRAN 95)Functions Development

    Module Development

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    To achieve Objective 2. Identify & Exploit Engineering Design Parameters to ConstructAircraft Configurations with Optimal Capability

    1

    2

    3

    a

    65

    Design Variables Definition

    30-Mar-10 13

    NOSE NOSE-CABIN INTERFACE CABIN

    8

    9

    LUGGAGE CABIN

    10

    Tail Boom

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    18 15

    To achieve Objective 2. Identify & Exploit Engineering Design Parameters to ConstructAircraft Configurations with Optimal Capability

    Design Variables Definition

    30-Mar-10 14

    17

    19

    Wing/horizontal tail

    Vertical Tail

    14

    16

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    Illustration of Required Design Variables

    Component Fixed Parameter ControllingDimension

    Design Parameter Symbol Range

    Aircraft Length L 1.0

    Mach Number M 0.01 0.30

    Altitude A Upto 5.0km

    Nose Nose tip diameter Nose Length Nose Length to Plane Lengthratio

    1 0.05 0.30

    Location End Height End Height to Plane Length ratio 2 0.05 0.20

    End Width End Width to Plane Length ratio 3 0.05 0.40

    1

    2

    3

    a

    30-Mar-10 15

    Interface

    (from Nose)

    -4

    . .

    Width Height to Plane Length ratio 5 0.05 0.40

    Offset Height Offset Height to Length ratio 6 0.0 0 0.20

    Cabin Start coordinates

    (from Nose-Cabin

    Interface)

    Length Cabin Length to Plane- Length

    ratio7 0.10 0.40

    Luggage Cabin Start coordinates

    (from Cabin)

    Length Length to Plane-Length ratio 8 0.1 0.25

    End Diameter End Diameter to Plane-Length

    ratio9 0.05 0.20

    Tail Boom Start coordinates

    (from Luggage Cabin)

    End Diameter End Diameter to Plane-Length

    ratio

    10 0.01 0.05

    4

    6

    5

    7

    8

    9

    1

    0

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    Component Fixed Parameter Controlling

    Dimension

    Design Parameter Symbol Range

    Horizontal Tail Profile Span Span to Plane-Length ratio 11 0.15 0.50

    Angle of Attack Root Chord Root-Chord to Plane-Length

    ratio

    12 0.05 0.15

    Sweep angle Tip Chord Tip Chord to Root-Chord

    ratio

    13 0.25 1.00

    Dihedral angle

    Vertical Tail Profile Span Span to Plane-Length ratio 14 0.07 0.25

    Angle of Attack Root Chord Root-Chord to Plane-Length 15 0.05 0.15

    Cont

    1

    7

    1

    9

    1

    8

    Illustration of Required Design Variables

    30-Mar-10 16

    ratio

    Sweep angle Tip Chord Tip Chord to Root-Chord

    ratio

    16 0.25 1.00

    Dihedral angle

    Wing Profile Span Span to Plane-Length ratio 17 0. 50 2.00

    Angle of Attack Root Chord Root-Chord to Plane-Lengthratio

    18 0.10 0.25

    Sweep angle Tip Chord Tip Chord to Root-Chord

    ratio

    19 0.25 1.00

    Dihedral angle

    1

    7

    1

    9

    1

    8

    1

    4

    1

    6

    1

    5

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    Start

    Input Data

    Wing

    NumericalWind Tunnel

    Surface

    Integration

    (Area)

    Empenna

    ge

    Horizontal

    Tail

    Vertical Tail

    Surface

    Integration

    (Area)

    Aircraft Design Flow Chart

    Numerical

    Wind

    Tunnel

    Fuselage

    Nose

    Nose-Cabin

    Interface

    Surface

    Integration

    (Area)

    Cabin

    Luggage-

    Cabin

    Tail Boom

    NumericalWind

    Tunnel

    L, D

    L, D

    L, D

    L, D

    End30-Mar-10 17

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    Create NoseGeometry

    Input Data

    A

    Surface

    Create Nose-Cabin

    Geometry

    B

    Surface

    Create CabinGeometry

    C

    Surface

    Create Lug-Cabin

    Geometry

    D

    Surface

    CreateTailboomGeometry

    Surface

    E

    Aircraft Design Flow Chart

    F

    Integration

    (Area)

    EvaluateL & D

    G

    Integration

    (Area)

    EvaluateL & D

    H

    Integration

    (Area)

    EvaluateL & D

    I

    Integration

    (Area)

    EvaluateL & D

    Integration

    (Area)

    EvaluateL & D

    L, D

    J

    30-Mar-10 18

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    Create Fuselage

    Profile

    Wind Tunnel

    Experiment

    A B C D E

    Aircraft Design Flow Chart

    Surface Properties

    (Pressure, Tau)

    Nose Surface

    Properties

    F

    Nose-CabinSurface

    Properties

    G

    Cabin SurfaceProperties

    H

    Lug-CabinSurface

    Properties

    I

    Tailboom

    Surface

    Properties

    J30-Mar-10 19

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    Create Wing

    Geometry

    Aircraft Design Flow ChartInput Data

    Create H-Tail

    Geometry

    Surface

    Integration

    (Area)

    Create V-Tail

    Geometry

    Surface

    Integration

    (Area)

    Numerical

    Wind

    Tunnel

    n

    TunnelExperiment

    Surface

    Integration(Area)

    Surface

    Properties

    Evaluate

    L & D

    30-Mar-10 20

    Evaluate

    L & D

    L, D

    Evaluate

    L & D

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    Illustration of Aircraft Configurations Generated

    30-Mar-10 21

    parametersDesign

    parametersFixedx

    _

    _

    )(xfF =

    ),( DragLiftePerformanc

    Geometry

    F

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    Wetted and Projected Areas

    y

    z

    F Wetted cell of any

    orientation

    Pro ection onto the

    Projection onto xz plane(y=constant): dSy

    Projection onto theyz plane (x=constant): dSx

    To achieve Objective 4. Develop Aerodynamic Analysis Tools to Evaluate Aircraft Configurations

    x

    xy plane (z=constant): dSz

    ))()(( AClBClABllarea =

    x

    yAn element

    A B

    C

    Herons formula for area of a triangle

    2)( CABCABl ++=( ) ( ) ( ){ }

    ( ) ( ) ( ){ }

    ( ) ( ) ( ){ }0.5

    222

    0.5222

    0.5222

    CBzCByCBx

    CAzCAyCAx

    BAzBAyBAx

    ZZYYXXBC

    ZZYYXXAC

    ZZYYXXAB

    ++=

    ++=

    ++=

    30-Mar-10 22

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    Surface Integration

    Validation

    Plane Area

    (Integration)

    Area (Exact) Error

    Surface 2.427975

    Truncated Cone

    A = ((C1 +C2)s/2)/4

    A= (r1+r2)((r1-

    r2

    )2+h2)0.5/4

    = (1.0+0.5)(2.0615)/4

    = 2.42870969

    0.0007346

    9

    (0.0302%)

    Y-Z 0.5884430

    Circle

    A = A -A 0.0010056

    To achieve Objective 5. Validate (Individual) Aircraft Subsystems & Tools

    30-Mar-10 23

    =

    (r22

    r12

    )/4= (1.02 0.52)/4

    = (0.75)/4

    =0.58904862

    (0.1707%)

    X-Z 1.5

    Trapezium

    A=(a+b)h/2=(0.5+1.0)(2.0)/2

    =1.5

    0.0(0.0%)

    X-Y 1.5

    Trapezium

    A=(a+b)h/2

    =(0.5+1.0)(2.0)/2=1.5

    0.0

    (0.0%)

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    Surface Integration

    Validation PlaneArea

    (Integration)

    Area (Exact) Error

    Surface 3.138356

    A=2rh/2

    =2

    (0.5)(2.0)/(2.0)

    =

    = 3.141592

    0.003236

    (0.103%)

    To achieve Objective 5. Validate (Individual) Aircraft Subsystems & Tools

    30-Mar-10 24

    Y-Z 1.000001Rear

    1.0

    A=LB= (1.0)(1.0)

    = 1.0

    0.000001(0.0001%)

    0.0

    X-Z 0.0 A=0.0 0.0(0.0%)

    X-Y 2.000001

    Rectangular

    A=LB

    =(2.0)(1.0)

    =2.0

    0.000001

    (0.00005%)

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    Forces Acting on Aircraft Lift : The Aerodynamic force component acting perpendicular to free

    airstream direction.

    Drag: The Aerodynamic force component in free airstream direction

    30-Mar-10 25

    WeightLift

    DragThrust

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    Aircraft Aerodynamics Analysis

    30-Mar-10 26

    Possible Solution/Analysis Methods

    Full NS Solution using CFD/COTS ToolsCoupled 3D Euler & Boundary Analysis Tools (COTS)Coupled 2D Euler & Boundary Analysis Tools

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    Full System of Navier Stoke Equation

    Solving the following Coupled Equations

    Mass Equation:

    Momentum Equation:0)( =+

    V

    t

    viscousxx Ffx

    pu

    t

    u)()(

    )(++

    =+

    V

    30-Mar-10 27

    Energy Equation:

    Boundary Conditions & Grids

    viscouszz

    viscousyy

    Ffz

    pw

    t

    w

    Ff

    y

    v

    t

    )()()(

    )()(

    ++

    =+

    ++

    =+

    V

    V

    +++=

    ++

    +

    ViscousViscous WQpq

    Ve

    Ve

    t)()(

    22

    22

    VfVV

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    Solving the following Coupled Equations:

    Mass Equation:

    Momentum Equation:

    0)( =+

    V

    t

    pu

    u =+

    )(V

    Euler Equation & Boundary Analysis

    Tools

    30-Mar-10 28

    Energy Equation:

    Boundary Conditions, BLA & Grids

    z

    pw

    t

    w

    y

    pv

    t

    v

    xt

    =+

    =+

    )()(

    )()(

    V

    V

    )(22

    22

    VV pqV

    eV

    et

    =

    ++

    +

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    2D Euler Equation For Incompressible flow and

    Irrotational steady flow

    Mass E uation

    30-Mar-10 29

    0= V

    Momentum Equation

    Defining the Stream function, , the two equations reduced to

    02

    = 0

    2

    2

    2

    2

    =

    +

    yx

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    Method of Implementation

    02

    =

    30-Mar-10 302D Sliced-Aero-Model with Grids

    02

    2

    2

    2

    =

    +

    yx

    To achieve Objective 4 Develop Aerodynamic Analysis Tools to Evaluate Aircraft Configurations

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    Aerodynamic Analysis (NWT)

    u = K1

    b = K5

    Left = K3

    To achieve Objective 4. Develop Aerodynamic Analysis Tools to Evaluate Aircraft Configurations

    x

    y

    30-Mar-10 31

    2 = 0

    Boundary conditions: = Constant

    Wind Tunnel

    x

    y

    L = K2 Right = K4

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    Implementation

    Boundary Fitted Grid method Laplace equation with the variable (, ) on the transformed or

    computational grid and (x, y) on the physical grid

    0

    0

    2

    2

    2

    2

    2

    2

    2

    2

    =

    +

    =

    +

    yx

    Physical plane (x, y) Computational plane (, ) = (x, y), = (x, y).

    and inverse (, ) (x, y)x = x(, ) and y = y(, ).

    Interchanging the independent and dependent variables, we havetransformed elliptic equation given by Thompson et al, (1974)

    30-Mar-10 32

    02

    02

    2

    22

    2

    2

    2

    22

    2

    2

    =

    +

    =

    +

    yyy

    xxx

    22

    22

    +

    =

    +

    =

    +

    =

    yx

    yyxx

    yx

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    Grid Transformation

    Boundary 3

    Boundary 2

    Object

    Region

    Boundary 1

    Boundary 4

    AB

    y y

    30-Mar-10 33

    Boundary 2

    Boundary 1

    Boundary 4Boundary 3

    A

    B

    Bl

    A1

    Region

    x

    x

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    The Governing Equation of interest is transformed

    02

    2

    2

    2

    =

    +

    yx

    Implementation

    Boundary Fitted Grid method

    022

    22

    2

    2

    =

    +

    30-Mar-10 34

    at the object boundary

    at far field boundary

    0),( =

    SinxUCosyU ),(),(),(

    =

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    NACA 2414 at AoA=0 NACA 2414 at AoA=3

    Win

    gApplica

    tion

    30-Mar-10 35Fuselage at AoA=0 Fuselage at AoA=3FuselageA

    pplicatio

    n

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    Velocity Estimation

    +

    +

    +=

    )()(

    ))(1(1

    212

    xygfxygfgJn

    f

    30-Mar-1036

    +

    +

    +=

    = )()(

    ))(1(1

    212

    xygxyggJn

    V

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    Pressure Solution to Euler equation

    ),( Pff=

    +

    = PV

    VVP

    22

    12

    30-Mar-10 37

    )(int

    1

    NspofoNumber

    P

    P

    N

    i

    i

    avg

    =

    =

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    Force due to Pressure, P

    Force due to Shear stress, FFF prrr

    +=

    }

    Aerodynamic Force Evaluation

    rrrrrr

    kGjLiDFr

    rrr

    ++=

    ( ) ++===

    ===

    Szyxavg

    Savg

    S

    S

    zyxavg

    S

    avg

    S

    p

    kdSjdSidSSdSdFr

    rrrrr

    30-Mar-10 39

    To achieve Objective 5. Validate (Individual) Aircraft Subsystems & Tools

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    Validation

    Velocity Distribution

    Velocity Distribution, Ref @

    30-Mar-10 40

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    Sample Velocity Distributions

    30-Mar-10 41

    To achieve Objective 2. Identify & Exploit Engineering Design Parameters to Construct AircraftC fi i i h O i l C bili

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    ResultsResultsResultsResults

    Configurations with Optimal Capability

    30-Mar-1042

    ComparativeComparativeComparativeComparative Analysis of 5 AircraftAnalysis of 5 AircraftAnalysis of 5 AircraftAnalysis of 5 Aircraft

    ConfigurationsConfigurationsConfigurationsConfigurations

    Aircraft Sample Design Parameters

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    No. Sample #1 #2 #3 #4 #5

    1 Nose Length to Plane Length Ratio 0.100 0.100 0.100 0.100 0.100

    2 Nose End Height Plane Length Ratio 0.100 0.100 0.100 0.150 0.120

    3 Nose End Width Plane Length Ratio 0.120 0.120 0.100 0.150 0.130

    4 Nose Cabin Length Plane Length Ratio 0.100 0.100 0.100 0.100 0.150

    5 Nose Cabin Offset Height Length Ratio 0.030 0.010 0.000 0.000 0.060

    6 Nose Cabin End Width Plane Length Ratio 0.140 0.140 0.100 0.150 0.150

    7 Cabin Length Plane Length Ratio 0.250 0.250 0.250 0.400 0.300

    8 Luggage Cabin Length Plane Length Ratio 0.300 0.200 0.200 0.200 0.100

    9 Luggage Cabin End Diameter Plane Length Ratio 0.060 0.020 0.060 0.150 0.050

    Aircraft Sample Design Parameters

    30-Mar-10 43

    10 Tail End Diameter Plane Length Ratio 0.010 0.010 0.010 0.010 0.010

    11 H_Root Chord Plane Length Ratio 0.100 0.100 0.100 0.100 0.100

    12 H_Tip To Root Chord Ratio 0.500 0.500 0.500 0.500 0.500

    13 H_Span To Plane Length Ratio 0.200 0.200 0.200 0.200 0.300

    14 V_Root Chord Plane Length Ratio 0.100 0.100 0.100 0.100 0.100

    15 V_Tip To Root Chord Ratio 0.500 0.500 0.500 0.500 0.50016 V_Span To Plane Length Ratio 0.100 0.100 0.100 0.100 0.100

    17 Wing Root Chord to Plane Length Ratio 0.200 0.300 0.300 0.300 0.300

    18 Wing Tip To Root Chord Ratio 0.500 0.700 1.000 0.300 0.300

    19 Wing Span To Plane Length Ratio 1.500 1.500 1.500 1.500 1.500

    20 Wing Profile NACA1412

    NACA

    2412

    NACA

    2424

    NACA

    2410

    NACA

    2410

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    #6

    #7

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    Object Performance

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    Object Performance

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    Cabin Height Analysis

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    Luggage Cabin Analysis

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    Luggage Cabin Analysis

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    Conclusion & Recommendation

    ConclusionDesign Tool is Developed capable for more accurate aerodynamic

    performance estimateAngle of Attack between 2o and 4o for Small aircraft

    Limitations: Incompressible flow regime, Small aircraft

    RecommendationPhysical Experimental validation of Luggage cabin length

    parameter

    Complementary areas need to be developed (structural design,Propulsion)

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    ThankThankThankThank YouYouYouYou

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