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    I

    DESIGN OF CAMBERED AEROFOIL FOR UNMANNED AERIAL

    VEHICLE BASED ON SUBSONIC WIND TUNNEL TEST

    By

    Kh. Md. Faisal

    Md. Faisal Kabir

    Nahian Al Hossain Basunia

    A Thesis

    Submitted to the

    Department of Aeronautical Engineering

    In Partial Fulfillment of the

    Requirements for the Degree

    OfB.Sc. in Aeronautical Engineering

    DEPARTMENT OF AERONAUTICAL ENGINEERING

    MILITARY INSTITUTE OF SCIENCE AND TECHNOLOGY

    MIRPUR CANTONMENT, DHAKA-1216, BANGLADESH

    DECEMBER-2012

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    II

    Approved By:

    Major Mahbubur Rahman Khan-Thesis Supervisor

    Instructor, Class-B, Department of Aeronautical Engineering

    Signature: _________________________________________

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    III

    Declaration

    This thesis or any part of this thesis has not been submitted elsewhere for obtaining any degree.

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    IV

    TABLE OF CONTENTS

    List of Tables.................... VI

    List of Figures... IX

    List of symbols.. .. XV

    Acknowledgement.. .............. XVII

    Abstract... XVIII

    1. Introduction.....11.1. Aerofoil Development 21.2. Historical Evolution................................ 5

    2. Theory... 162.1. Aerofoil. 162.2. Aerofoil Design Characteristics 172.3. Types. 192.4. Aerofoil Terminology... 202.5. Aerodynamic Forces.212.6. Low-Speed Aerodynamics 222.7. Characterizing Aerofoil Performance... 23

    3. Wind Tunnel Theory.253.1. Calibration of Wind Tunnel.. 253.2. Calibration of AFA3 balance 263.3. Drag Calibration273.4. Fore/Aft Calibration.. 283.5. Moment Calibration.. 29

    4. Aerofoil Selection.304.1. Aerofoil Design Consideration. 304.2. Performance Requirement 33

    5. Experimental Investigation... 355.1. Data for Aerofoil-1........................... 35

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    V

    5.2. Data for Aerofoil-2...535.3. Data for Aerofoil-3...71

    6. Additional Investigation 906.1. Investigation of Cm- curves at different Reynolds Number.... 906.2. Investigation of Cd- curves at different Reynolds Number..... 966.3. Investigation of Cl- curves at different Reynolds Number... 1026.4. Investigation of Variation Maximum Lift Co-Efficient

    With Maximum Camber of the 3 Aerofoils.... 108

    6.5. Investigation of Variation Maximum Lift Co-EfficientWith Maximum Thickness of the 3 Aerofoils.... 113

    6.6. Investigation of Variation Maximum Lift Co-EfficientWith Reynolds Number.. 118

    6.7. Investigation of Cl Values At Different Angles of Attack.. 1216.8. Investigation of variation of Cl/Cd values at different Angles of Attack.... 123

    7. Discussions & Recommendation.... 1297.1. Discussions..... 1297.2. Recommendations for future work..... 131

    8. References........................... 1329. Bibliography... 133

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    VI

    List of Tables

    Table 5.1: Geometric Specification of Aerofoil-1.... 36

    Table 5.2: Experimental Data for Aerofoil-1.... 36

    Table 5.3: Experimental data for Aerofoil-1 at Re=200000..... 40

    Table 5.4: Experimental data for Aerofoil-1 at Re=300000. 43

    Table 5.5: Experimental data for Aerofoil-1 at Re=400000. 46

    Table 5.6: Experimental data for Aerofoil-1 at Re=500000..... 49

    Table 5.7: Performance Comparison of Aerofoil-1.. 52

    Table 5.8: Geometric Specification of Aerofoil-2.... 54

    Table 5.9: Experimental Data for Aerofoil-2 54

    Table 5.10: Experimental data for Aerofoil-2 at Re=200000... 58

    Table 5.11: Experimental data for Aerofoil-2 at Re=300000... 61

    Table 5.12: Experimental data for Aerofoil-2 at Re=400000... 64

    Table 5.13: Experimental data for Aerofoil-2 at Re=500000... 67

    Table 5.14: Performance Comparison of Aerofoil-2.... 70

    Table 5.15: Geometric Specification of Aerofoil-3.. 72

    Table 5.16: Experimental Data for Aerofoil-3.. 73

    Table 5.17: Experimental data for Aerofoil-3 at Re=200000... 76

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    VII

    Table 5.18: Experimental data for Aerofoil-3 at Re=300000... 79

    Table 5.19: Experimental data for Aerofoil-3 at Re=400000... 83

    Table 5.20: Experimental data for Aerofoil-3 at Re=500000... 86

    Table 5.21: Performance Comparison of Aerofoil-3.... 88

    Table 6.1: Variation of Cmwith at: Re = 100000.. 90

    Table 6.2: Variation of Cmwith at: Re = 200000.. 91

    Table 6.3: Variation of Cmwith at: Re = 300000.. 92

    Table 6.4: Variation of Cmwith at: Re = 400000.. 93

    Table 6.5: Variation of Cmwith at: Re = 500000.. 94

    Table 6.6: Variation of Cdwith at: Re = 100000... 96

    Table 6.7: Variation of Cdwith at: Re = 200000... 97

    Table 6.8: Variation of Cdwith at: Re = 300000... 98

    Table 6.9: Variation of Cdwith at: Re = 400000... 99

    Table 6.10: Variation of Cdwith at: Re = 500000... 100

    Table 6.11: Variation of Clwith at: Re = 100000 102

    Table 6.12: Variation of Clwith at: Re = 200000.... 103

    Table 6.13: Variation of Clwith at: Re = 30000.. 104

    Table 6.14: Variation of Clwith at: Re = 400000.... 105

    Table 6.15: Variation of Clwith at: Re = 500000.... 106

    Table 6.16: Variation of Cl max with camber at Re = 100000... 108

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    Table 6.17: Variation of Cl max with camber at Re = 200000... 109

    Table 6.18: Variation of Cl max with camber at Re = 300000... 110

    Table 6.19: Variation of Cl max with camber at Re = 400000.. 111

    Table 6.20: Variation of Cl max with camber at Re = 500000.. 112

    Table 6.21: Variation of Cl max with maximum thickness at Re = 100000. 113

    Table 6.22: Variation of Cl max with maximum thickness at Re = 200000..... 114

    Table 6.23: Variation of Cl max with maximum thickness at Re = 300000. 115

    Table 6.24: Variation of Cl max with maximum thickness at Re = 400000. 116

    Table 6.25: Variation of Cl max with maximum thickness at Re = 500000. 117

    Table 6.26: Variation of Cl max with Reynolds Number of Aerofoil-1... 118

    Table 6.27: Variation of Cl max with Reynolds Number of Aerofoil-2... 119

    Table 6.28: Variation of Cl max with Reynolds Number of Aerofoil-3 120

    Table 6.29: Variation of Cl values with Reynolds Number for the 3 Aerofoils at 7 AOA ... 121

    Table 6.30: Variation of Cl values with Reynolds Number for the 3 Aerofoils at 5 AOA... 121

    Table 6.31: Variation of Cl values with Reynolds Number for the 3 Aerofoils at 11 AOA..... 122

    Table 6.32: variation of Cl/Cd values at different Angles of Attack at Re= 100000.. 123

    Table 6.33: variation of Cl/Cd values at different Angles of Attack at Re= 200000.. 124

    Table 6.34: variation of Cl/Cd values at different Angles of Attack at Re= 300000.. 125

    Table 6.35: variation of Cl/Cd values at different Angles of Attack at Re= 400000.. 126

    Table 6.36: variation of Cl/Cd values at different Angles of Attack at Re= 500000.. 127

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    IX

    List of Figures

    Fig 1.1: The earliest aerofoil design at last 19th century................................................................ 3

    Fig 1.2: Aerofoil variation before World War II.............................................................................

    4

    Fig 2.1: Three Basic types of Aerofoils.... 19

    Figure 2.2: Aerofoil geometry.. 20

    Figure 2.3: Aerodynamic forces.... 22Fig 3.1: Drag Calibration.. 27

    Fig 3.2: Fore/Aft Calibration.... 28

    Fig 3.3: Moment Calibration..... 29

    Fig 5.1: ClVs plot of Aerofoil-1 at Re=100000.... 37

    Fig 5.2: Cd Vs for aerofoil 1 at Re=100000... 37

    Fig 5.3: CmVs of Aerofoil-1 at Re=100000.. 38

    Fig 5.4: L/D Vs for Aerofoil-1 at Re=100000... 38

    Fig 5.5: Cl Vs Cd of Aerofoil-1 at Re=100000.. 39

    Fig 5.6: ClVs plot of Aerofoil-1 at Re=200000.... 40

    Fig 5.7: CdVs for aerofoil 1 at Re=200000... 40

    Fig 5.8: CmVs of Aerofoil-1 at Re=200000.. 41

    Fig 5.9: L/D Vs for aerofoil 1 at Re=200000 41

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    Fig 5.10: Cl Vs Cd of Aerofoil-1 at Re=200000... 42

    Fig 5.11: ClVs plot of Aerofoil-1 at Re=300000.. 43

    Fig 5.12: CdVs for Aerofoil 1 at Re=300000.... 43

    Fig 5.13: L/D Vs for Aerofoil 1 at Re=300000..... 44

    Fig 5.14: CmVs of Aerofoil-1 at Re=300000.... 44

    Fig 5.15: Cl Vs Cd of Aerofoil-1 at Re=300000.... 45

    Fig 5.16: ClVs plot of Aerofoil-1 at Re=400000.. 46

    Fig 5.17: CdVs foraerofoil-1 at Re=400000 46

    Fig 5.18: CmVs of Aerofoil-1 at Re=400000.... 47

    Fig 5.19: L/D Vs for aerofoil-1 at Re=400000.. 47

    Fig 5.20: Cl Vs Cd of Aerofoil-1 at Re=400000 48

    Fig 5.21: ClVs plot of Aerofoil-1 at Re=500000.. 49

    Fid 5.22: CdVs forAerofoil-1 at Re=500000.... 49

    Fig 5.23: CmVs ofAerofoil-1 at Re=500000.... 50

    Fig 5.24: L/D Vs for aerofoil 1 at Re=500000.. 50

    Fig 5.25: Cl Vs Cd of Aerofoil-1 at Re=500000.... 51

    Fig 5.26: Cl Vs plot of Aerofoil-2 at Re=100000.. 55

    Fig 5.27: CdVs for aerofoil 2 at Re=100000.... 55

    Fig 5.28: CmVs of Aerofoil-2 at Re=100000... 56

    Fig 5.29: L/D Vs for Aerofoil-2 at Re=100000..... 56

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    Fig 5.30: Cl Vs Cd of Aerofoil-2 at Re=100000... 57

    Fig 5.31: ClVs plot of Aerofoil-2 at Re=200000.. 58

    Fig 5.32: CdVs for aerofoil 2 at Re=200000..... 58

    Fig 5.33: CmVs of Aerofoil-2 at Re=200000.... 59

    Fig 5.34: L/D Vs for aerofoil 2 at Re=200000.. 59

    Fig 5.35: Cl Vs Cd of Aerofoil-2 at Re=200000... 60

    Fig 5.36: ClVs plot of Aerofoil-2 at Re=300000.. 61

    Fig 5.37: CdVs for Aerofoil 2 at Re=300000.... 61

    Fig 5.38: CmVs of Aerofoil-2 at Re=300000.... 62

    Fig 5.39: L/D Vs for Aerofoil 2 at Re=300000..... 62

    Fig 5.40: Cl Vs Cd of Aerofoil-2 at Re=300000 63

    Fig 5.41: ClVs plot ofAerofoil-2 at Re=400000..... 64

    Fig 5.42: CdVs foraerofoil-2 at Re=400000.... 64

    Fig 5.43: CmVs of Aerofoil-2 at Re=400000.... 65

    Fig 5.44: Cl/Cd Vs for aerofoil-2 at Re=400000.... 65

    Fig 5.45: Cl Vs Cd of Aerofoil-2 at Re=400000.... 66

    Fig 5.46: ClVs plot of Aerofoil-2 at Re=500000.. 67

    Fig 5.47: CdVs forAerofoil-2 at Re=500000... 67

    Fig 5.48: CmVs of Aerofoil-2 at Re=500000 68

    Fig 5.49: L/D Vs for aerofoil 2 at Re=500000.. 68

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    Fig 5.50: Cl Vs Cd of Aerofoil-2 at Re=500000... 69

    Fig 5.51: Cl Vs plot of Aerofoil-3 at Re=100000.. 73

    Fig 5.52: Cl Vs Cd of Aerofoil-3 at Re=100000.... 74

    Fig 5.53: CmVs of Aerofoil-3 at Re=100000.... 74

    Fig 5.54: Cl/CdVs for aerofoil 3 at Re=100000.... 75

    Fig 5.55: CdVs for aerofoil 3 at Re=100000. 75

    Fig 5.56: Cl Vs plot of Aerofoil-3 at Re=200000.. 76

    Fig 5.57: Cl Vs Cd of Aerofoil-3 at Re=200000... 77

    Fig 5.58: CdVs for aerofoil 3 at Re=200000..... 77

    Fig 5.59: CmVs of Aerofoil-3 at Re=200000.... 78

    Fig 5.60: Cl/CdVs for aerofoil 3 at Re=200000.... 78

    Fig 5.61: ClVs plot of Aerofoil-3 at Re=300000.. 80

    Fig 5.62: CdVs for aerofoil 3 at Re=300000. 80

    Fig 5.63: CmVs of Aerofoil-3 at Re=300000.... 81

    Fig 5.64: Cl Vs Cd of Aerofoil-3 at Re=300000... 81

    Fig 5.65: Cl/CdVs for aerofoil 3 at Re=300000.... 82

    Fig 5.66: ClVs plot of Aerofoil-3 at Re=400000.. 83

    Fig 5.67: CdVs for aerofoil 3 at Re=400000..... 83

    Fig 5.68: CmVs of Aerofoil-3 at Re=400000.... 84

    Fig 5.69: Cl/CdVs for aerofoil 3 at Re=400000 84

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    Fig 5.70: Cl Vs Cd of Aerofoil-3 at Re=400000... 85

    Fig 5.71: ClVs plot of Aerofoil-3 at Re=500000.. 86

    Fig 5.72: CdVs foraerofoil 3 at Re=500000..... 86

    Fig 5.73: Cm Vs ofAerofoil-3 at Re=500000.... 87

    Fig 5.74: Cl/CdVs for aerofoil 3 at Re=500000 87

    Fig 5.75: Cl Vs Cd of Aerofoil-3 at Re=500000... 88

    Fig 6.1: Graphical plot of variation of Cmwith at: Re = 100000.. 91

    Fig 6.2: Graphical plot of variation of Cmwith at: Re = 200000.. 92

    Fig 6.3: Graphical plot of variation of Cmwith at: Re = 300000.. 93

    Fig 6.4: Graphical plot of variation of Cmwith at: Re = 400000.. 94

    Fig 6.5: Graphical plot of variation of Cmwith at: Re = 500000.. 95

    Fig 6.6: Graphical plot of variation of Cdwith at: Re = 100000... 97

    Fig 6.7: Graphical plot of variation of Cdwith at: Re = 200000... 98

    Fig 6.8: Graphical plot of variation of Cdwith at: Re = 300000... 99

    Fig 6.9: Graphical plot of variation of Cdwith at: Re = 400000. 100

    Fig 6.10: Graphical plot of variation of Cdwith at: Re = 500000... 101

    Fig 6.11: Graphical plot of variation of C lwith at: Re = 100000 103

    Fig 6.12: Graphical plot of variation of C lwith at: Re = 200000.... 104

    Fig 6.13: Graphical plot of variation of C lwith at: Re = 300000.... 105

    Fig 6.14: Graphical plot of variation of C lwith at: Re = 400000.... 106

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    Fig 6.15: Graphical plot of variation of C lwith at: Re = 500000 107

    Fig 6.16: Graphical plot of variation of C lmax with camber at Re = 100000...... 108

    Fig 6.17: Graphical plot of variation of C lmax with camber at Re = 200000...... 109

    Fig 6.18: Graphical plot of variation of C lmax with camber at Re = 300000...... 110

    Fig 6.19: Graphical plot of variation of C l max with camber at Re = 400000.. 111

    Fig 6.20: Graphical plot of variation of C l max with camber at Re = 500000...... 112

    Fig 6.21: Graphical plot of variation of C lmax with maximum thickness at Re = 100000. 113

    Fig 6.22: Graphical plot of variation of C lmax with maximum thickness at Re = 200000..... 114

    Fig 6.23: Graphical plot of variation of C lmax with maximum thickness at Re = 300000..... 115

    Fig 6.24: Graphical plot of variation of C lmax with maximum thickness at Re = 400000..... 116

    Fig 6.25: Graphical plot of variation of C l max with maximum thickness at Re = 500000.. 117

    Fig 6.26: Graphical Plot of Variation of C l max with Reynolds Number of Aerofoil-1... 118

    Fig 6.27: Graphical Plot of Variation of C l max with Reynolds Number of Aerofoil-2... 119

    Fig 6.28: Graphical Plot of Variation of C l max with Reynolds Number of Aerofoil-3... 120

    Figure 6.29: Graphical Plot of variation of C l/Cd values at different AOA at Re= 100000... 124

    Figure 6.30: Graphical Plot of variation of Cl/Cd values at different AOA at Re= 200000... 125

    Figure 6.31: Graphical Plot of variation of C l/Cdvalues at different AOA at Re= 300000126

    Figure 6.32: Graphical Plot of variation of Cl/Cd values at different AOA at Re= 400000... 127

    Figure 6.33: Graphical Plot of variation of Cl/Cd values at different AOA at Re= 500000128

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    XV

    List of Symbols

    Lift force

    Drag force

    M Pitching moment

    Angle of attack

    Free stream air density

    Free stream dynamic pressure

    Free stream velocity

    Coefficient of lift

    Coefficient of drag

    Pitching moment coefficient

    Normal force coefficient

    Reynolds number

    Specific fuel consumption

    C chord

    Dynamic viscosity

    X (U) Distance along the upper surface of aerofoil in X axis

    Y (U) Distance along the upper surface of aerofoil in Y axis

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    XVI

    X (L) Distance along the lower surface of aerofoil in X axis

    Y (L) Distance along the upper surface of aerofoil in Y axis

    A-1 Aerofoil-1

    A-2 Aerofoil-2

    A-3 Aerofoil-3

    C max Maximum Camber

    Cl max Maximum loft co-efficient

    Tmax Maximum thickness

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    ACKNOWLEDGEMENT

    It gives us much pleasure to recall with cordial reverence and deepest of gratitude the

    indispensable, constant encouragement and unparallel stimulation that influenced untiring

    efforts. Knowledgeable advice and valuable suggestions of our respectable thesis advisor Major

    Mahbub Sirbenefited us highly throughout the progress of this study. It could have been

    impossible on our part to conduct this thesis and project without the effective guidance of his

    methodological direction at each stage from the selection of the entire tropic to the writing down

    the project.

    Thanks to almighty Allah for making things and situation congenial and favourable for us to

    complete the task. We are grateful to many individuals for the completion of the undergraduate

    project and thesis program and report successfully. Military Institute of science & Technology

    (MIST) provided necessary funding, enormous support and guidance for our undergraduate

    project and thesis program.

    At last warm wishes and thanks to our project members without whose continuous support it was

    impossible to build up this project. The project really needed that friendly co-operation.

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    XVIII

    ABSTRACT

    Aerofoils have become an integral aspect of human flight as it has evolved over the last

    century. As the design of each aerofoil determines many aspects of its use in the real world,

    all significant characteristics must be analyzed prior to implementation. The aerodynamic

    effects of pressure, drag, lift, and pitching moment were used to evaluate the behaviour of

    the cambered aerofoils. In this experiment design of cambered aerofoil is done to make an UAV

    on trial and error basis. With the help of a subsonic wind tunnel lift, drag, pitching moment and

    other necessary data were then recorded to analyze and evaluate cambered aerofoils and to find

    the most suitable one to meet our purpose.