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1
MSc Thesis
Shubham
Aeroacoustics group
Wind Energy
Faculty of Aerospace Engineering
2
Traffic problems…
1inrix.com/scorecard/
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Traffic problems…
• London
– population of 8.9 million
– hours wasted in traffic/year - 2271
1inrix.com/scorecard/
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Traffic problems…
• London
– population of 8.9 million
– hours wasted in traffic/year - 2271
• Paris
– population of 2.1 million
– hours wasted in traffic/year - 2371
1inrix.com/scorecard/
1
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Traffic problems…
• London
– population of 8.9 million
– hours wasted in traffic/year - 2271
• Paris
– population of 2.1 million
– hours wasted in traffic/year - 2371
• United States
– report by Texas Transportation Institute
– loss - $78 billion/year2
1inrix.com/scorecard/ 2Issues of the Day, Ian W.H. Parry and Felicia Day, 2010
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Urban Air Mobility
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Urban Air Mobility
• Urban transportation system
Image courtesy: NASA/Lillium/Uber/Hyundai
11
Urban Air Mobility
• Urban transportation system
• Personal Air Vehicle (PAV)
Image courtesy: NASA/Lillium/Uber/Hyundai
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Urban Air Mobility
• Urban transportation system
• Personal Air Vehicle (PAV)
– Transport of people and goods
Image courtesy: NASA/Lillium/Uber/Hyundai
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Personal Air Vehicle
Image courtesy: Uber/Hyundai
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Personal Air Vehicle
• Requirements:
Image courtesy: Uber/Hyundai
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Personal Air Vehicle
• Requirements:
– Electric operated
Image courtesy: Uber/Hyundai
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Personal Air Vehicle
• Requirements:
– Electric operated
– High efficiency
Image courtesy: Uber/Hyundai
17
Personal Air Vehicle
• Requirements:
– Electric operated
– High efficiency
– Low noise
Image courtesy: Uber/Hyundai
18
Personal Air Vehicle
• Requirements:
– Electric operated
– High efficiency
– Low noise
– Safety factors
Image courtesy: Uber/Hyundai
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Personal Air Vehicle
• Requirements:
– Electric operated
– High efficiency
– Low noise
– Safety factors
Image courtesy: Uber/Hyundai
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Personal Air Vehicle
– High efficiency
– Low noise
Image courtesy: Uber/Hyundai
Aerodynamic
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Personal Air Vehicle
– High efficiency
– Low noise
• Aerodynamic noise: Aeroacoustics
Image courtesy: Uber/Hyundai
Aerodynamic
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Aeroacoustics
• Noise generated by aerodynamic flows
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Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
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Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
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Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
26
Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
• Can we increase efficiency and
decrease noise for a rotor, even further?
27
Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
• Can we increase efficiency and
decrease noise for a rotor, even further?
• Types of rotors:
28
Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
• Can we increase efficiency and
decrease noise for a rotor, even further?
• Types of rotors:
– Co-planar rotor
Image courtesy: GetFPV
29
Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
• Can we increase efficiency and
decrease noise for a rotor, even further?
• Types of rotors:
– Co-planar rotor
– Contra-rotating rotor
Image courtesy: Workhorse
30
Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
• Can we increase efficiency and
decrease noise for a rotor, even further?
• Types of rotors:
– Co-planar rotor
– Contra-rotating rotor
– Tandem rotor
Image courtesy: Boeing
31
Aeroacoustics
• Noise generated by aerodynamic flows
• Key factor in Urban Air Mobility
• Major noise source – Rotors
• Can we increase efficiency and
decrease noise for a rotor, even further?
• Types of rotors:
– Co-planar rotor
– Contra-rotating rotor
– Tandem rotor
– Co-rotating rotor
Image courtesy: Myself
32
Co-rotating rotor
Top view Side view
• 𝜙 : angular separation
• 𝑧 : axial separation
• n : rotations per second (rps)
Orthogonal view
33
Co-rotating rotors
Aeroacoustic
Urban Air Mobility
34
Computational Aeroacoustic Investigation of
Co-rotating rotors for Urban Air Mobility
MSc Thesis
35
Today’s agenda…
36
Today’s agenda…
Co-rotating rotor
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Today’s agenda…
Co-rotating rotor Literature Study
&
Research Questions
38
Today’s agenda…
Co-rotating rotor Literature Study
&
Research Questions
Software & Setup
39
Today’s agenda…
Co-rotating rotor Literature Study
&
Research Questions
Software & Setup Results
40
Today’s agenda…
Co-rotating rotor Literature Study
&
Research Questions
Software & Setup Results
Conclusions
&
Recommendations
41
Basics of Co-rotating rotor
42
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
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Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
𝑉∞
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Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
𝑉∞
45
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
𝑉∞
46
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
𝑉∞
47
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
Co-rotating rotor
𝑉∞
48
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
Co-rotating rotor
𝑉∞
49
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
Co-rotating rotor
𝑉∞
50
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
Co-rotating rotor
𝑉∞
51
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
Co-rotating rotor
𝑉∞
52
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
Co-rotating rotor
𝑉∞
53
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
– Lower rotor thrust
Co-rotating rotor
𝑉∞
54
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
– Lower rotor thrust
Co-rotating rotor
𝑉∞
55
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
– Lower rotor thrust
Co-rotating rotor
𝑉∞
56
Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
– Lower rotor thrust
• Blade Vortex Interaction (BVI)
1Image courtesy: E. Grande, Wind Energy group
1
Co-rotating rotor
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Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
– Lower rotor thrust
• Blade Vortex Interaction (BVI)
– Tip vortices shed from each rotor
1Image courtesy: E. Grande, Wind Energy group
1
Co-rotating rotor
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Basics of Co-rotating rotor
• Total thrust: Upper rotor + Lower rotor
• Streamtube of the rotor
– Thrust streamtube contracts more
• Upper rotor thrust > Lower rotor thrust
• Inflow effect: Mutual interaction of the two streamtubes
– Axial velocities compared to isolated rotor
– Upper rotor thrust
– Lower rotor thrust
• Blade Vortex Interaction (BVI)
– Tip vortices shed from each rotor
• Total noise: Upper rotor + Lower rotor
1Image courtesy: E. Grande, Wind Energy group
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Co-rotating rotor
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Literature Review
and History
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Literature Review
• A brief history:
– First introduced – Mackaness 1909, in automotive industry
– NASA – 1974, 1976, etc
– Tail rotor of Apache AH-64 D (attack helicopter)
and History
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Literature Review
1. Ramasamy1 2015: axial separation thrust
• A brief history:
– First introduced – Mackaness 1909, in automotive industry
– NASA – 1974, 1976, etc
– Tail rotor of Apache AH-64 D (attack helicopter)
1: Manikandan Ramasamy: Hover Performance Measurements toward understanding aerodynamic interference in co-axial, tandem, and tilt rotors, UARC-NASA
and History
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Literature Review
1. Ramasamy1 2015: axial separation thrust
2. Mahendra2 2018: angular separation thrust , even more than contra-rotating rotors
2: Mahendra Bhagwat: Co-rotating and Counter-rotating coaxial rotor performance, US Army Aviation Development Directorate, CA 94035
• A brief history:
– First introduced – Mackaness 1909, in automotive industry
– NASA – 1974, 1976, etc
– Tail rotor of Apache AH-64 D (attack helicopter)
and History
63
Literature Review
1. Ramasamy1 2015: axial separation thrust
2. Mahendra2 2018: angular separation thrust , even more than contra-rotating rotors
3. Whiteside3 2019: angular separation noise
3: Siena KS Whiteside: An Exploration of the Performance and Acoustic Characteristics of UAV-Scale Stacked Rotor Configurations, NASA LRC, VA 23681
• A brief history:
– First introduced – Mackaness 1909, in automotive industry
– NASA – 1974, 1976, etc
– Tail rotor of Apache AH-64 D (attack helicopter)
and History
64
Research Questions
65
• What are the flow phenomena taking place for a co-rotating rotor?
Research Questions
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• What are the flow phenomena taking place for a co-rotating rotor?
• What is the difference in computational and experimental results? Why?
Research Questions
67
• What are the flow phenomena taking place for a co-rotating rotor?
• What is the difference in computational and experimental results? Why?
• Can the flow phenomena be utilized to increase thrust and decrease noise?
Research Questions
68
• What are the flow phenomena taking place for a co-rotating rotor?
• What is the difference in computational and experimental results? Why?
• Can the flow phenomena be utilized to increase thrust and decrease noise?
• Which produces more noise for the same thrust: Co-rotating vs Single rotor?
Research Questions
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Software
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• Dassault Systèmes PowerFLOW – high-fidelity solver
Software
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• Dassault Systèmes PowerFLOW – high-fidelity solver
– LBM-VLES based
– LBM: Lattice Boltzmann Method
– VLES: Very Large Eddy Simulation
Software
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• Dassault Systèmes PowerFLOW – high-fidelity solver
– LBM-VLES based
– LBM: Lattice Boltzmann Method
– VLES: Very Large Eddy Simulation
• LBM – based on discretized Boltzmann equation
Software
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• Dassault Systèmes PowerFLOW – high-fidelity solver
– LBM-VLES based
– LBM: Lattice Boltzmann Method
– VLES: Very Large Eddy Simulation
• LBM – based on discretized Boltzmann equation
Software
Convective term
Collision
operator
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• Dassault Systèmes PowerFLOW – high-fidelity solver
– LBM-VLES based
– LBM: Lattice Boltzmann Method
– VLES: Very Large Eddy Simulation
• LBM – based on discretized Boltzmann equation
– mesoscopic method
Software
Convective term
Collision
operator
f – particle distribution function
75
• Dassault Systèmes PowerFLOW – high-fidelity solver
– LBM-VLES based
– LBM: Lattice Boltzmann Method
– VLES: Very Large Eddy Simulation
• LBM – based on discretized Boltzmann equation
– mesoscopic method
• VLES – Turbulence modelling for high-Re flows
– RNG1 k-𝜀 turbulence model
– Law of the wall – near boundary
Software
Convective term
Collision
operator
f – particle distribution function
1RNG: Renormalization Group
76
PowerFLOW Setup
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PowerFLOW Setup
• Cubic simulation volume
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PowerFLOW Setup
• Cubic simulation volume Higher resolution
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PowerFLOW Setup
• Cubic simulation volume
• Variable Resolution (VR) regions used
Higher resolution
80
PowerFLOW Setup
• Cubic simulation volume
• Variable Resolution (VR) regions used
Higher resolution
81
PowerFLOW Setup
• Cubic simulation volume
• Variable Resolution (VR) regions used
• Highest resolution near the blade Highest resolution
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PowerFLOW Setup
• Cubic simulation volume
• Variable Resolution (VR) regions used
• Highest resolution near the blade
• APC 18x5.5 MR – single 2-bladed
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PowerFLOW Setup
• Cubic simulation volume
• Variable Resolution (VR) regions used
• Highest resolution near the blade
• APC 18x5.5 MR – single 2-bladed
• Co-rotating rotor 2×2-bladed
84
PowerFLOW Setup
• Cubic simulation volume
• Variable Resolution (VR) regions used
• Highest resolution near the blade
• APC 18x5.5 MR – single 2-bladed
• Co-rotating rotor 2×2-bladed
• n = 50 rps
• Hover cases
85
Rotor Configurations
86
Rotor Configurations
1. Single rotor – isolated baseline rotor
1
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Rotor Configurations
1. Single rotor – isolated baseline rotor
2. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 84°
1
2
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Rotor Configurations
1. Single rotor – isolated baseline rotor
2. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 84°
3. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 12°
1
2
3
89
Rotor Configurations
1. Single rotor – isolated baseline rotor
2. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 84°
3. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 12°
4. Single rotor
– at same thrust as co-rotating rotor
1
2
3
4
90
Rotor Configurations
1. Single rotor – isolated baseline rotor
2. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 84°
3. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 12°
4. Single rotor
– at same thrust as co-rotating rotor
1
2
3
4
91
Rotor Configurations
1. Single rotor – isolated baseline rotor
2. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 84°
3. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 12°
4. Single rotor
– at same thrust as co-rotating rotor
1
2
3
4
92
Rotor Configurations
1. Single rotor – isolated baseline rotor
2. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 84°
3. Co-rotating rotor
– axial – 1.1 inch (2.79 cm)
– angular - 12°
4. Single rotor
– at same thrust as co-rotating rotor
1
2
3
4
93
Aeroacoustic Setup
• PowerFLOW
94
Aeroacoustic Setup
• PowerFLOW
– Ffowcs-Williams and Hawkings (FWH) methodology for
far-field aeroacoustic post-processing
95
Aeroacoustic Setup
• PowerFLOW
– Ffowcs-Williams and Hawkings (FWH) methodology for
far-field aeroacoustic post-processing
– Sampling of pressure fluctuations on spherical surfaces
96
Aeroacoustic Setup
• PowerFLOW
– Ffowcs-Williams and Hawkings (FWH) methodology for
far-field aeroacoustic post-processing
– Sampling of pressure fluctuations on spherical surfaces
– Sampling frequency – 40000 Hz
97
Flow Physics Investigation
• 84° angular separation
Configuration 2
98
Flow Physics Investigation
• 84° angular separation
Configuration 2
99
Flow Physics Investigation
• 84° angular separation
1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019
Configuration 2
PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%)
12.22 13.94 1.72 12.34
100
Flow Physics Investigation
• 84° angular separation
– difference with experiments
1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019
Configuration 2
PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%)
12.22 13.94 1.72 12.34
101
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019
Configuration 2
PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%)
12.22 13.94 1.72 12.34
Baseline rotor (N) Upper rotor 84o (N) Lower rotor 84o (N)
8.23 7.22 5
102
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019
Configuration 2
PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%)
12.22 13.94 1.72 12.34
Baseline rotor (N) Upper rotor 84o (N) Lower rotor 84o (N)
8.23 7.22 5
103
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
104
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
105
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
106
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
107
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
108
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
∅: Inflow angle
𝛼: Angle of attack
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
109
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
110
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
111
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
𝐶 𝑇 =
𝑇ℎ𝑟𝑢𝑠𝑡
𝜌𝑛2 𝐷4
112
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
113
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
Configuration 2
114
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with baseline rotor
– lower rotor < upper rotor < baseline rotor
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
– Blade Vortex Interaction (BVI)
• tip vortices interaction with rotor blades
Configuration 2
115
Flow Physics Investigation
Configuration 2
116
Flow Physics Investigation
Lower rotor Upper rotor
Configuration 2
117
Flow Physics Investigation
Lower rotor
Configuration 2
118
Flow Physics Investigation
Configuration 2
Co-rotating 84° Baseline rotor
119
Flow Physics Investigation
Configuration 2
Co-rotating 84° Baseline rotor
120
Flow Physics Investigation
Configuration 2
Co-rotating 84° Baseline rotor
121
Flow Physics Investigation
Configuration 2
122
Flow Physics Investigation
Configuration 2
123
Flow Physics Investigation
• 84° angular separation
– difference with experiments
• Comparison with 2-bladed rotor
– lower rotor < upper rotor < 2-bladed
• Flow Phenomena
– Inflow Effect
• mutual interaction of streamtubes
– Blade Vortex Interaction (BVI)
• tip vortices interaction with rotor blades
Configuration 2
Inflow effect BVI
124
• Angular separation from 84° to 12°
Flow Physics Investigation
Configuration 3
125
• Angular separation from 84° to 12°
Flow Physics Investigation
Configuration 3
126
• Angular separation from 84° to 12°
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
127
• Angular separation from 84° to 12°
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
128
• Angular separation from 84° to 12°
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
129
• Angular separation from 84° to 12°
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
130
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
131
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N)
8.23 8.96 2.74
132
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N)
8.23 8.96 2.74
133
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
Flow Physics Investigation
Configuration 3
Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%)
12° 11.7 13.34 1.64 12.29
84° 12.22 13.94 1.72 12.34
Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N)
8.23 8.96 2.74
134
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
Flow Physics Investigation
1AMO Smith, High Lift Aerodynamics, Journal of Aircraft, 1975
1
Configuration 3
Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N)
8.23 8.96 2.74
135
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
Flow Physics Investigation
Configuration 3
136
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
Flow Physics Investigation
Configuration 3
137
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
Flow Physics Investigation
Configuration 3
138
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
Flow Physics Investigation
Configuration 3
139
• Angular separation from 84° to 12°
– Upper rotor thrust
– Lower rotor thrust
• Flow Phenomena
– Circulation effect
– Inflow effect
– BVI effect
Flow Physics Investigation
Configuration 3
140
Coupled System of Rotor
Configuration 3
141
Coupled System of Rotor
84o → 12o azimuthal
variation
Configuration 3
142
Coupled System of Rotor
84o → 12o azimuthal
variation
Circulation effect
becomes important 1
Configuration 3
143
Coupled System of Rotor
Upper rotor
thrust increases
84o → 12o azimuthal
variation
Circulation effect
becomes important 1
2
Configuration 3
144
Coupled System of Rotor
Upper rotor
thrust increases
Axial velocity on lower
rotor increases
Circulation effect
becomes important 1
2
3
Configuration 3
145
Coupled System of Rotor
Upper rotor
thrust increases
Axial velocity on lower
rotor increases
Lower rotor
thrust decreases
Circulation effect
becomes important 1
2
3
4
Configuration 3
146
Coupled System of Rotor
Upper rotor
thrust increases
Axial velocity on lower
rotor increases
Lower rotor
thrust decreases
Axial velocity on upper
rotor decreases
Circulation effect
becomes important 1
2
3
4
5
Configuration 3
147
Coupled System of Rotor
Upper rotor
thrust increases
Axial velocity on lower
rotor increases
Lower rotor
thrust decreases
Axial velocity on upper
rotor decreases
Circulation effect
becomes important 1
2
3
4
5
Converged state!
Configuration 3
148
Flow Phenomena
149
Flow Phenomena
• Inflow Effect
150
Flow Phenomena
• Inflow Effect
• Blade Vortex Interaction (BVI)
151
Flow Phenomena
• Inflow Effect
• Blade Vortex Interaction (BVI)
• Circulation Effect
1
1AMO Smith, High Lift Aerodynamics, Journal of Aircraft, 1975
152
Flow Phenomena
• Inflow Effect
• Blade Vortex Interaction (BVI)
• Circulation Effect
153
Flow Phenomena
• Inflow Effect
• Blade Vortex Interaction (BVI)
• Circulation Effect
Only for low angular separation!!!
154
Flow Phenomena
• Inflow Effect
• Blade Vortex Interaction (BVI)
• Circulation Effect
Only for low angular separation!!!
Has the potential to increase the co-rotating rotor performance!!!
155
Noise Investigation
• probes - 3×rotor diameter from rotor axis
Configuration 3
156
Noise Investigation
• probes - 3×rotor diameter from rotor axis
Configuration 3
157
Noise Investigation
• probes - 3×rotor diameter from rotor axis
Configuration 3
158
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
Configuration 3
159
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
Configuration 3
160
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
Configuration 3
161
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
Configuration 3
162
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
• Pressure fluctuations
Configuration 3
163
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
• Pressure fluctuations
Configuration 3
164
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
• Pressure fluctuations
12°84°
Configuration 3
165
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
• Pressure fluctuations
– destructive interference
12°84°
Configuration 3
166
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
• Pressure fluctuations
– destructive interference
12°84°
Configuration 3
167
Noise Investigation
• probes - 3×rotor diameter from rotor axis
• Noise spectra
– 12° vs 84°
• Overall SPL (90-4000 Hz)
• Pressure fluctuations
– destructive interference
12°84°
Configuration 3
168
Noise Comparison
Configuration 4
• Two comparisons made
a) Co-rotating rotor 84o vs single rotor (having same thrust as 84o rotor)
b) Co-rotating rotor 12o vs single rotor (having same thrust as 12o rotor)
Angular (°) Co-rotating rotor (N) Single rotor (N)
a) 84 12.22 12.24
b) 12 11.7 11.8
169
Noise Comparison
Configuration 4
• Two comparisons made
a) Co-rotating rotor 84o vs single rotor (having same thrust as 84o rotor)
b) Co-rotating rotor 12o vs single rotor (having same thrust as 12o rotor)
Angular (°) Co-rotating rotor (N) Single rotor (N)
a) 84 12.22 12.24
b) 12 11.7 11.8
a)
170
Noise Comparison
Configuration 4
• Two comparisons made
a) Co-rotating rotor 84o vs single rotor (having same thrust as 84o rotor)
b) Co-rotating rotor 12o vs single rotor (having same thrust as 12o rotor)
Angular (°) Co-rotating rotor (N) Single rotor (N)
a) 84 12.22 12.24
b) 12 11.7 11.8
a) b)
171
Conclusions
172
Conclusions
• Flow Phenomena
– Inflow effect
– Blade Vortex Interaction (BVI)
– Circulation effect
173
Conclusions
• Flow Phenomena
– Inflow effect
– Blade Vortex Interaction (BVI)
– Circulation effect
• Difference with experiments
– Some aspects of experimental setup unable to be captured
174
Conclusions
• Flow Phenomena
– Inflow effect
– Blade Vortex Interaction (BVI)
– Circulation effect
• Difference with experiments
– Some aspects of experimental setup unable to be captured
• Circulation effect can be utilized to increase thrust
175
Conclusions
• Flow Phenomena
– Inflow effect
– Blade Vortex Interaction (BVI)
– Circulation effect
• Difference with experiments
– Some aspects of experimental setup unable to be captured
• Circulation effect can be utilized to increase thrust
• Application-based goal:
– Higher thrust: 12o co-rotating configuration
– Lower noise: 84o co-rotating configuration
176
Recommendations
177
Recommendations
• Further investigations needed on differences with experiments
178
Recommendations
• Further investigations needed on differences with experiments
• Differential collective pitch and differential radius studies should be performed
179
Recommendations
• Further investigations needed on differences with experiments
• Differential collective pitch and differential radius studies should be performed
• Investigations should be made with angular separation higher than 90o
180
Recommendations
• Further investigations needed on differences with experiments
• Differential collective pitch and differential radius studies should be performed
• Investigations should be made with angular separation higher than 90o
• Lower rotor blade design should be optimized due to different inflow conditions
181
Thank You
182
Differential Collective Pitch
Configuration 3
183
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
Configuration 3
184
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
Configuration 3
185
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
Configuration 3
186
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
– Total thrust
Configuration 3
187
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
– Total thrust
Configuration 3
188
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
– Total thrust
Configuration 3
189
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
– Total thrust
Configuration 3
190
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
– Total thrust
Configuration 3
191
Differential Collective Pitch
• Increase collective pitch angle of lower rotor
– 2 opposing effects → circulation and inflow
– upper rotor thrust should remain constant!
– Total thrust
Double thrust within same rotor space!!!
Configuration 3
192
• Axial Velocity [-] = v/n.D

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MSc Thesis presentation

  • 1. 1 MSc Thesis Shubham Aeroacoustics group Wind Energy Faculty of Aerospace Engineering
  • 3. 3 Traffic problems… • London – population of 8.9 million – hours wasted in traffic/year - 2271 1inrix.com/scorecard/ 1
  • 4. 4 Traffic problems… • London – population of 8.9 million – hours wasted in traffic/year - 2271 • Paris – population of 2.1 million – hours wasted in traffic/year - 2371 1inrix.com/scorecard/ 1
  • 5. 5 Traffic problems… • London – population of 8.9 million – hours wasted in traffic/year - 2271 • Paris – population of 2.1 million – hours wasted in traffic/year - 2371 • United States – report by Texas Transportation Institute – loss - $78 billion/year2 1inrix.com/scorecard/ 2Issues of the Day, Ian W.H. Parry and Felicia Day, 2010 1
  • 6. 6
  • 7. 7
  • 8. 8
  • 10. 10 Urban Air Mobility • Urban transportation system Image courtesy: NASA/Lillium/Uber/Hyundai
  • 11. 11 Urban Air Mobility • Urban transportation system • Personal Air Vehicle (PAV) Image courtesy: NASA/Lillium/Uber/Hyundai
  • 12. 12 Urban Air Mobility • Urban transportation system • Personal Air Vehicle (PAV) – Transport of people and goods Image courtesy: NASA/Lillium/Uber/Hyundai
  • 13. 13 Personal Air Vehicle Image courtesy: Uber/Hyundai
  • 14. 14 Personal Air Vehicle • Requirements: Image courtesy: Uber/Hyundai
  • 15. 15 Personal Air Vehicle • Requirements: – Electric operated Image courtesy: Uber/Hyundai
  • 16. 16 Personal Air Vehicle • Requirements: – Electric operated – High efficiency Image courtesy: Uber/Hyundai
  • 17. 17 Personal Air Vehicle • Requirements: – Electric operated – High efficiency – Low noise Image courtesy: Uber/Hyundai
  • 18. 18 Personal Air Vehicle • Requirements: – Electric operated – High efficiency – Low noise – Safety factors Image courtesy: Uber/Hyundai
  • 19. 19 Personal Air Vehicle • Requirements: – Electric operated – High efficiency – Low noise – Safety factors Image courtesy: Uber/Hyundai
  • 20. 20 Personal Air Vehicle – High efficiency – Low noise Image courtesy: Uber/Hyundai Aerodynamic
  • 21. 21 Personal Air Vehicle – High efficiency – Low noise • Aerodynamic noise: Aeroacoustics Image courtesy: Uber/Hyundai Aerodynamic
  • 22. 22 Aeroacoustics • Noise generated by aerodynamic flows
  • 23. 23 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility
  • 24. 24 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors
  • 25. 25 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors
  • 26. 26 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors • Can we increase efficiency and decrease noise for a rotor, even further?
  • 27. 27 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors • Can we increase efficiency and decrease noise for a rotor, even further? • Types of rotors:
  • 28. 28 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors • Can we increase efficiency and decrease noise for a rotor, even further? • Types of rotors: – Co-planar rotor Image courtesy: GetFPV
  • 29. 29 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors • Can we increase efficiency and decrease noise for a rotor, even further? • Types of rotors: – Co-planar rotor – Contra-rotating rotor Image courtesy: Workhorse
  • 30. 30 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors • Can we increase efficiency and decrease noise for a rotor, even further? • Types of rotors: – Co-planar rotor – Contra-rotating rotor – Tandem rotor Image courtesy: Boeing
  • 31. 31 Aeroacoustics • Noise generated by aerodynamic flows • Key factor in Urban Air Mobility • Major noise source – Rotors • Can we increase efficiency and decrease noise for a rotor, even further? • Types of rotors: – Co-planar rotor – Contra-rotating rotor – Tandem rotor – Co-rotating rotor Image courtesy: Myself
  • 32. 32 Co-rotating rotor Top view Side view • 𝜙 : angular separation • 𝑧 : axial separation • n : rotations per second (rps) Orthogonal view
  • 34. 34 Computational Aeroacoustic Investigation of Co-rotating rotors for Urban Air Mobility MSc Thesis
  • 37. 37 Today’s agenda… Co-rotating rotor Literature Study & Research Questions
  • 38. 38 Today’s agenda… Co-rotating rotor Literature Study & Research Questions Software & Setup
  • 39. 39 Today’s agenda… Co-rotating rotor Literature Study & Research Questions Software & Setup Results
  • 40. 40 Today’s agenda… Co-rotating rotor Literature Study & Research Questions Software & Setup Results Conclusions & Recommendations
  • 42. 42 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor
  • 43. 43 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more 𝑉∞
  • 44. 44 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust 𝑉∞
  • 45. 45 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust 𝑉∞
  • 46. 46 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust 𝑉∞
  • 47. 47 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust Co-rotating rotor 𝑉∞
  • 48. 48 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes Co-rotating rotor 𝑉∞
  • 49. 49 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor Co-rotating rotor 𝑉∞
  • 50. 50 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust Co-rotating rotor 𝑉∞
  • 51. 51 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust Co-rotating rotor 𝑉∞
  • 52. 52 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust Co-rotating rotor 𝑉∞
  • 53. 53 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust – Lower rotor thrust Co-rotating rotor 𝑉∞
  • 54. 54 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust – Lower rotor thrust Co-rotating rotor 𝑉∞
  • 55. 55 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust – Lower rotor thrust Co-rotating rotor 𝑉∞
  • 56. 56 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust – Lower rotor thrust • Blade Vortex Interaction (BVI) 1Image courtesy: E. Grande, Wind Energy group 1 Co-rotating rotor
  • 57. 57 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust – Lower rotor thrust • Blade Vortex Interaction (BVI) – Tip vortices shed from each rotor 1Image courtesy: E. Grande, Wind Energy group 1 Co-rotating rotor
  • 58. 58 Basics of Co-rotating rotor • Total thrust: Upper rotor + Lower rotor • Streamtube of the rotor – Thrust streamtube contracts more • Upper rotor thrust > Lower rotor thrust • Inflow effect: Mutual interaction of the two streamtubes – Axial velocities compared to isolated rotor – Upper rotor thrust – Lower rotor thrust • Blade Vortex Interaction (BVI) – Tip vortices shed from each rotor • Total noise: Upper rotor + Lower rotor 1Image courtesy: E. Grande, Wind Energy group 1 Co-rotating rotor
  • 60. 60 Literature Review • A brief history: – First introduced – Mackaness 1909, in automotive industry – NASA – 1974, 1976, etc – Tail rotor of Apache AH-64 D (attack helicopter) and History
  • 61. 61 Literature Review 1. Ramasamy1 2015: axial separation thrust • A brief history: – First introduced – Mackaness 1909, in automotive industry – NASA – 1974, 1976, etc – Tail rotor of Apache AH-64 D (attack helicopter) 1: Manikandan Ramasamy: Hover Performance Measurements toward understanding aerodynamic interference in co-axial, tandem, and tilt rotors, UARC-NASA and History
  • 62. 62 Literature Review 1. Ramasamy1 2015: axial separation thrust 2. Mahendra2 2018: angular separation thrust , even more than contra-rotating rotors 2: Mahendra Bhagwat: Co-rotating and Counter-rotating coaxial rotor performance, US Army Aviation Development Directorate, CA 94035 • A brief history: – First introduced – Mackaness 1909, in automotive industry – NASA – 1974, 1976, etc – Tail rotor of Apache AH-64 D (attack helicopter) and History
  • 63. 63 Literature Review 1. Ramasamy1 2015: axial separation thrust 2. Mahendra2 2018: angular separation thrust , even more than contra-rotating rotors 3. Whiteside3 2019: angular separation noise 3: Siena KS Whiteside: An Exploration of the Performance and Acoustic Characteristics of UAV-Scale Stacked Rotor Configurations, NASA LRC, VA 23681 • A brief history: – First introduced – Mackaness 1909, in automotive industry – NASA – 1974, 1976, etc – Tail rotor of Apache AH-64 D (attack helicopter) and History
  • 65. 65 • What are the flow phenomena taking place for a co-rotating rotor? Research Questions
  • 66. 66 • What are the flow phenomena taking place for a co-rotating rotor? • What is the difference in computational and experimental results? Why? Research Questions
  • 67. 67 • What are the flow phenomena taking place for a co-rotating rotor? • What is the difference in computational and experimental results? Why? • Can the flow phenomena be utilized to increase thrust and decrease noise? Research Questions
  • 68. 68 • What are the flow phenomena taking place for a co-rotating rotor? • What is the difference in computational and experimental results? Why? • Can the flow phenomena be utilized to increase thrust and decrease noise? • Which produces more noise for the same thrust: Co-rotating vs Single rotor? Research Questions
  • 70. 70 • Dassault Systèmes PowerFLOW – high-fidelity solver Software
  • 71. 71 • Dassault Systèmes PowerFLOW – high-fidelity solver – LBM-VLES based – LBM: Lattice Boltzmann Method – VLES: Very Large Eddy Simulation Software
  • 72. 72 • Dassault Systèmes PowerFLOW – high-fidelity solver – LBM-VLES based – LBM: Lattice Boltzmann Method – VLES: Very Large Eddy Simulation • LBM – based on discretized Boltzmann equation Software
  • 73. 73 • Dassault Systèmes PowerFLOW – high-fidelity solver – LBM-VLES based – LBM: Lattice Boltzmann Method – VLES: Very Large Eddy Simulation • LBM – based on discretized Boltzmann equation Software Convective term Collision operator
  • 74. 74 • Dassault Systèmes PowerFLOW – high-fidelity solver – LBM-VLES based – LBM: Lattice Boltzmann Method – VLES: Very Large Eddy Simulation • LBM – based on discretized Boltzmann equation – mesoscopic method Software Convective term Collision operator f – particle distribution function
  • 75. 75 • Dassault Systèmes PowerFLOW – high-fidelity solver – LBM-VLES based – LBM: Lattice Boltzmann Method – VLES: Very Large Eddy Simulation • LBM – based on discretized Boltzmann equation – mesoscopic method • VLES – Turbulence modelling for high-Re flows – RNG1 k-𝜀 turbulence model – Law of the wall – near boundary Software Convective term Collision operator f – particle distribution function 1RNG: Renormalization Group
  • 77. 77 PowerFLOW Setup • Cubic simulation volume
  • 78. 78 PowerFLOW Setup • Cubic simulation volume Higher resolution
  • 79. 79 PowerFLOW Setup • Cubic simulation volume • Variable Resolution (VR) regions used Higher resolution
  • 80. 80 PowerFLOW Setup • Cubic simulation volume • Variable Resolution (VR) regions used Higher resolution
  • 81. 81 PowerFLOW Setup • Cubic simulation volume • Variable Resolution (VR) regions used • Highest resolution near the blade Highest resolution
  • 82. 82 PowerFLOW Setup • Cubic simulation volume • Variable Resolution (VR) regions used • Highest resolution near the blade • APC 18x5.5 MR – single 2-bladed
  • 83. 83 PowerFLOW Setup • Cubic simulation volume • Variable Resolution (VR) regions used • Highest resolution near the blade • APC 18x5.5 MR – single 2-bladed • Co-rotating rotor 2×2-bladed
  • 84. 84 PowerFLOW Setup • Cubic simulation volume • Variable Resolution (VR) regions used • Highest resolution near the blade • APC 18x5.5 MR – single 2-bladed • Co-rotating rotor 2×2-bladed • n = 50 rps • Hover cases
  • 86. 86 Rotor Configurations 1. Single rotor – isolated baseline rotor 1
  • 87. 87 Rotor Configurations 1. Single rotor – isolated baseline rotor 2. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 84° 1 2
  • 88. 88 Rotor Configurations 1. Single rotor – isolated baseline rotor 2. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 84° 3. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 12° 1 2 3
  • 89. 89 Rotor Configurations 1. Single rotor – isolated baseline rotor 2. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 84° 3. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 12° 4. Single rotor – at same thrust as co-rotating rotor 1 2 3 4
  • 90. 90 Rotor Configurations 1. Single rotor – isolated baseline rotor 2. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 84° 3. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 12° 4. Single rotor – at same thrust as co-rotating rotor 1 2 3 4
  • 91. 91 Rotor Configurations 1. Single rotor – isolated baseline rotor 2. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 84° 3. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 12° 4. Single rotor – at same thrust as co-rotating rotor 1 2 3 4
  • 92. 92 Rotor Configurations 1. Single rotor – isolated baseline rotor 2. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 84° 3. Co-rotating rotor – axial – 1.1 inch (2.79 cm) – angular - 12° 4. Single rotor – at same thrust as co-rotating rotor 1 2 3 4
  • 94. 94 Aeroacoustic Setup • PowerFLOW – Ffowcs-Williams and Hawkings (FWH) methodology for far-field aeroacoustic post-processing
  • 95. 95 Aeroacoustic Setup • PowerFLOW – Ffowcs-Williams and Hawkings (FWH) methodology for far-field aeroacoustic post-processing – Sampling of pressure fluctuations on spherical surfaces
  • 96. 96 Aeroacoustic Setup • PowerFLOW – Ffowcs-Williams and Hawkings (FWH) methodology for far-field aeroacoustic post-processing – Sampling of pressure fluctuations on spherical surfaces – Sampling frequency – 40000 Hz
  • 97. 97 Flow Physics Investigation • 84° angular separation Configuration 2
  • 98. 98 Flow Physics Investigation • 84° angular separation Configuration 2
  • 99. 99 Flow Physics Investigation • 84° angular separation 1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019 Configuration 2 PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%) 12.22 13.94 1.72 12.34
  • 100. 100 Flow Physics Investigation • 84° angular separation – difference with experiments 1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019 Configuration 2 PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%) 12.22 13.94 1.72 12.34
  • 101. 101 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor 1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019 Configuration 2 PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%) 12.22 13.94 1.72 12.34 Baseline rotor (N) Upper rotor 84o (N) Lower rotor 84o (N) 8.23 7.22 5
  • 102. 102 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor 1Experiment - Thrust and Acoustic Performance of small-scale, co-axial, co-rotating rotors in hover, Charles E. Tinney, AIAA Journal, 2019 Configuration 2 PowerFLOW (N) Experiment1 (N) Difference (N) Difference (%) 12.22 13.94 1.72 12.34 Baseline rotor (N) Upper rotor 84o (N) Lower rotor 84o (N) 8.23 7.22 5
  • 103. 103 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 104. 104 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 105. 105 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 106. 106 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 107. 107 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 108. 108 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2 ∅: Inflow angle 𝛼: Angle of attack 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 109. 109 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 110. 110 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 111. 111 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2 𝐶 𝑇 = 𝑇ℎ𝑟𝑢𝑠𝑡 𝜌𝑛2 𝐷4
  • 112. 112 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2
  • 113. 113 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes Configuration 2
  • 114. 114 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with baseline rotor – lower rotor < upper rotor < baseline rotor • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes – Blade Vortex Interaction (BVI) • tip vortices interaction with rotor blades Configuration 2
  • 116. 116 Flow Physics Investigation Lower rotor Upper rotor Configuration 2
  • 117. 117 Flow Physics Investigation Lower rotor Configuration 2
  • 118. 118 Flow Physics Investigation Configuration 2 Co-rotating 84° Baseline rotor
  • 119. 119 Flow Physics Investigation Configuration 2 Co-rotating 84° Baseline rotor
  • 120. 120 Flow Physics Investigation Configuration 2 Co-rotating 84° Baseline rotor
  • 123. 123 Flow Physics Investigation • 84° angular separation – difference with experiments • Comparison with 2-bladed rotor – lower rotor < upper rotor < 2-bladed • Flow Phenomena – Inflow Effect • mutual interaction of streamtubes – Blade Vortex Interaction (BVI) • tip vortices interaction with rotor blades Configuration 2 Inflow effect BVI
  • 124. 124 • Angular separation from 84° to 12° Flow Physics Investigation Configuration 3
  • 125. 125 • Angular separation from 84° to 12° Flow Physics Investigation Configuration 3
  • 126. 126 • Angular separation from 84° to 12° Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34
  • 127. 127 • Angular separation from 84° to 12° Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34
  • 128. 128 • Angular separation from 84° to 12° Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34
  • 129. 129 • Angular separation from 84° to 12° Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34
  • 130. 130 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34
  • 131. 131 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34 Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N) 8.23 8.96 2.74
  • 132. 132 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34 Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N) 8.23 8.96 2.74
  • 133. 133 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect Flow Physics Investigation Configuration 3 Angular PowerFLOW (N) Experiment (N) Difference (N) Difference (%) 12° 11.7 13.34 1.64 12.29 84° 12.22 13.94 1.72 12.34 Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N) 8.23 8.96 2.74
  • 134. 134 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect Flow Physics Investigation 1AMO Smith, High Lift Aerodynamics, Journal of Aircraft, 1975 1 Configuration 3 Baseline rotor (N) Upper rotor 12° (N) Lower rotor 12° (N) 8.23 8.96 2.74
  • 135. 135 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect Flow Physics Investigation Configuration 3
  • 136. 136 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect Flow Physics Investigation Configuration 3
  • 137. 137 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect Flow Physics Investigation Configuration 3
  • 138. 138 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect Flow Physics Investigation Configuration 3
  • 139. 139 • Angular separation from 84° to 12° – Upper rotor thrust – Lower rotor thrust • Flow Phenomena – Circulation effect – Inflow effect – BVI effect Flow Physics Investigation Configuration 3
  • 140. 140 Coupled System of Rotor Configuration 3
  • 141. 141 Coupled System of Rotor 84o → 12o azimuthal variation Configuration 3
  • 142. 142 Coupled System of Rotor 84o → 12o azimuthal variation Circulation effect becomes important 1 Configuration 3
  • 143. 143 Coupled System of Rotor Upper rotor thrust increases 84o → 12o azimuthal variation Circulation effect becomes important 1 2 Configuration 3
  • 144. 144 Coupled System of Rotor Upper rotor thrust increases Axial velocity on lower rotor increases Circulation effect becomes important 1 2 3 Configuration 3
  • 145. 145 Coupled System of Rotor Upper rotor thrust increases Axial velocity on lower rotor increases Lower rotor thrust decreases Circulation effect becomes important 1 2 3 4 Configuration 3
  • 146. 146 Coupled System of Rotor Upper rotor thrust increases Axial velocity on lower rotor increases Lower rotor thrust decreases Axial velocity on upper rotor decreases Circulation effect becomes important 1 2 3 4 5 Configuration 3
  • 147. 147 Coupled System of Rotor Upper rotor thrust increases Axial velocity on lower rotor increases Lower rotor thrust decreases Axial velocity on upper rotor decreases Circulation effect becomes important 1 2 3 4 5 Converged state! Configuration 3
  • 150. 150 Flow Phenomena • Inflow Effect • Blade Vortex Interaction (BVI)
  • 151. 151 Flow Phenomena • Inflow Effect • Blade Vortex Interaction (BVI) • Circulation Effect 1 1AMO Smith, High Lift Aerodynamics, Journal of Aircraft, 1975
  • 152. 152 Flow Phenomena • Inflow Effect • Blade Vortex Interaction (BVI) • Circulation Effect
  • 153. 153 Flow Phenomena • Inflow Effect • Blade Vortex Interaction (BVI) • Circulation Effect Only for low angular separation!!!
  • 154. 154 Flow Phenomena • Inflow Effect • Blade Vortex Interaction (BVI) • Circulation Effect Only for low angular separation!!! Has the potential to increase the co-rotating rotor performance!!!
  • 155. 155 Noise Investigation • probes - 3×rotor diameter from rotor axis Configuration 3
  • 156. 156 Noise Investigation • probes - 3×rotor diameter from rotor axis Configuration 3
  • 157. 157 Noise Investigation • probes - 3×rotor diameter from rotor axis Configuration 3
  • 158. 158 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° Configuration 3
  • 159. 159 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° Configuration 3
  • 160. 160 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) Configuration 3
  • 161. 161 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) Configuration 3
  • 162. 162 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) • Pressure fluctuations Configuration 3
  • 163. 163 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) • Pressure fluctuations Configuration 3
  • 164. 164 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) • Pressure fluctuations 12°84° Configuration 3
  • 165. 165 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) • Pressure fluctuations – destructive interference 12°84° Configuration 3
  • 166. 166 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) • Pressure fluctuations – destructive interference 12°84° Configuration 3
  • 167. 167 Noise Investigation • probes - 3×rotor diameter from rotor axis • Noise spectra – 12° vs 84° • Overall SPL (90-4000 Hz) • Pressure fluctuations – destructive interference 12°84° Configuration 3
  • 168. 168 Noise Comparison Configuration 4 • Two comparisons made a) Co-rotating rotor 84o vs single rotor (having same thrust as 84o rotor) b) Co-rotating rotor 12o vs single rotor (having same thrust as 12o rotor) Angular (°) Co-rotating rotor (N) Single rotor (N) a) 84 12.22 12.24 b) 12 11.7 11.8
  • 169. 169 Noise Comparison Configuration 4 • Two comparisons made a) Co-rotating rotor 84o vs single rotor (having same thrust as 84o rotor) b) Co-rotating rotor 12o vs single rotor (having same thrust as 12o rotor) Angular (°) Co-rotating rotor (N) Single rotor (N) a) 84 12.22 12.24 b) 12 11.7 11.8 a)
  • 170. 170 Noise Comparison Configuration 4 • Two comparisons made a) Co-rotating rotor 84o vs single rotor (having same thrust as 84o rotor) b) Co-rotating rotor 12o vs single rotor (having same thrust as 12o rotor) Angular (°) Co-rotating rotor (N) Single rotor (N) a) 84 12.22 12.24 b) 12 11.7 11.8 a) b)
  • 172. 172 Conclusions • Flow Phenomena – Inflow effect – Blade Vortex Interaction (BVI) – Circulation effect
  • 173. 173 Conclusions • Flow Phenomena – Inflow effect – Blade Vortex Interaction (BVI) – Circulation effect • Difference with experiments – Some aspects of experimental setup unable to be captured
  • 174. 174 Conclusions • Flow Phenomena – Inflow effect – Blade Vortex Interaction (BVI) – Circulation effect • Difference with experiments – Some aspects of experimental setup unable to be captured • Circulation effect can be utilized to increase thrust
  • 175. 175 Conclusions • Flow Phenomena – Inflow effect – Blade Vortex Interaction (BVI) – Circulation effect • Difference with experiments – Some aspects of experimental setup unable to be captured • Circulation effect can be utilized to increase thrust • Application-based goal: – Higher thrust: 12o co-rotating configuration – Lower noise: 84o co-rotating configuration
  • 177. 177 Recommendations • Further investigations needed on differences with experiments
  • 178. 178 Recommendations • Further investigations needed on differences with experiments • Differential collective pitch and differential radius studies should be performed
  • 179. 179 Recommendations • Further investigations needed on differences with experiments • Differential collective pitch and differential radius studies should be performed • Investigations should be made with angular separation higher than 90o
  • 180. 180 Recommendations • Further investigations needed on differences with experiments • Differential collective pitch and differential radius studies should be performed • Investigations should be made with angular separation higher than 90o • Lower rotor blade design should be optimized due to different inflow conditions
  • 183. 183 Differential Collective Pitch • Increase collective pitch angle of lower rotor Configuration 3
  • 184. 184 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow Configuration 3
  • 185. 185 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! Configuration 3
  • 186. 186 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! – Total thrust Configuration 3
  • 187. 187 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! – Total thrust Configuration 3
  • 188. 188 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! – Total thrust Configuration 3
  • 189. 189 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! – Total thrust Configuration 3
  • 190. 190 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! – Total thrust Configuration 3
  • 191. 191 Differential Collective Pitch • Increase collective pitch angle of lower rotor – 2 opposing effects → circulation and inflow – upper rotor thrust should remain constant! – Total thrust Double thrust within same rotor space!!! Configuration 3
  • 192. 192 • Axial Velocity [-] = v/n.D