4. 4 / 39
SCOPE
CFD analysis of a flapping hydrofoil with LE
Tubercles to determine the power coefficients.
Comparison of Fluid flow and Power
Coefficients between LE Tubercles and Baseline
Model
Studying the flow dynamics of tubercles and
their effect on flapping wings.
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MINIMUM PASSING REQUIREMENT
Effect of LE Tubercles on Energy Extraction from active
flapping wing system
Best case of LE Tubercles that is most efficient for
Energy Extraction from flapping wing
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LITERATURE REVIEW
Tubercles
These are the bumps or perturbations present on the
leading edge of humpback whales.
The job of the tubercle is to generate vortices to
maintain lift and avoid stalling at steep angles of attack.
Tubercles on Humpback whale’s flipper
Wave like tubercles
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LITERATURE REVIEW
Energy Extraction from Flapping Wings
Types of flapping foil Energy Harvesters
Fully activated system
Semi activated system
Fully passive system
Active System Modelling
Heaving Motion θ(t)
h(t) = H0sin(γ t + φ)
Pitching Motion h(t)
θ(t) = θ0sin(γ t)
Source: Kinsey and Dumas 2008
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LITERATURE REVIEW
Feathering Effect
A feathering state is reached when the heave-induced
angle of attack equals the pitching angle. At this state, the
oscillating wing generates neither thrust nor drag.
Source: Young et al 2014
Power Extraction
Heaving contribution
Py(t) = Y (t) Vy(t)
Pitching contribution
Pθ(t) = M(t) Ω(t)
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LITERATURE REVIEW
Power Efficiency
The power-extraction efficiency η is the ratio of the mean
total power extracted P to the total power available Pa in
the oncoming flow passing through the swept area (the
“flow window”).
Source: Thomas Kinsey 2011
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LITERATURE REVIEW
Comparative Literature on power extraction from flapping
foil
Reference Year Geometry Activation Re Cpmax ηmax
Jones et al. 2003 NACA0014 Active 1.0*106 Nil 0.12
Kinsey and
Dumas 2008
NACA0015
Active 1100 1.13 0.34
Platzer et al. 2009 NACA0014 Active 20000 1.44 0.54
Young et al. 2010 NACA0012 Passive 1100 0.79 0.30
Bryant et al. 2012 Flat plate Active 5000 0.7 0.27
Kinsey and
Dumas
2012 NACA0015 Active 5.0*105 1.60 0.63
Young et al. 2013 NACA0012 Passive
1100 and
1.1*106 1.10 0.41
Zhu and
Peng
2009
12% thick
Joukowski
Semi
passive
1000 0.31 0.27
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METHODOLOGY
Literature
Review
CFD Analysis
on Tubercled
Models
Comparison of
results
CAD Models
with LE
Tubercles
CFD Analysis
on Baseline
Model
Selection of
Research paper
for Validation
Conclusion
Future
Recommendations
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VALIDATION
Solution Approach
1. Dynamic Meshing
This method is used to simulate problems with the boundary
motion. The user can define body motion in dynamic mesh
method using the UDF. Negative cell volumes during the 3D case
is a major problem while using this method.
2. Sliding Mesh
This method is used to simulate unsteady problems that are
periodic in nature. Rotational velocity is mainly used in this
method which can be given with the help of UDF or expressions.
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VALIDATION
Fluid Properties and Reference Values
• Air was taken as fluid.
• Following reference
values were taken to get
accurate non-dimensional
parameters.
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VALIDATION
Comparison with Kinsey’s 3D Case
CPY CPθ CP η (%)
Best Case 0.9935 -0.263 0.730 28.6
Kinsey 1.026 -0.251 0.775 30.42
Error 0.0267 -0.012 0.045 1.82
Error (%) 2.53 4.78 5.80 5.92
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RESULTS
Geometry Modelling with LE Tubercles
For tubercles, there are two basic parameters:
Amplitude in terms of percentage of chord
Wavelength in terms of percentage of chord
Six different cases were designed with the help of CATIA software.
Cases Amplitude A (% of
chord)
Wavelength λ (% of chord)
1 2 5
2 4 10
3 6 15
4 8 20
5 10 25
6 12 50
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RESULTS
Tubercled Geometries
Top view of A2 λ05 Case
Top view of A10 λ25 Case
Top view of A6 λ15 Case
Top view of A4 λ10 Case
Top view of A12 λ50 Case
Top view of A8 λ20 Case
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CONCLUSION
The usage of LE Tubercles in any combination of amplitude and
wavelength showed that they did not increase the power production
rather they decreased the efficiency of the system.
LE tubercles did help in mitigating the reduction of power due to the
pitching motion. Less power was lost due to the pitching motion due
to the LE tubercles.
The flow pattern for all the cases is almost same except that lower
wavelengths showed smaller vortices at higher angle of attacks while
larger wavelengths showed larger vortices.
Wavelengths in the range of 5 to 25 showed similar pattern of lift
reduction while wavelength of 50 did not reduce lift to that extent,
mainly because of stronger vortices present at steep angle of
attacks.
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CHALLENGES
High Processing Power
3D Transient simulations take a lot of time and processing power so,
high processing power PCs are required.
Electric Power
Simulations span over days sometimes so, constant supply of
electricity is very necessary for smooth work.
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FUTURE RECOMMENDATIONS
Effect of tubercles on flapping wing in energy extraction mode can be
done at lower Reynolds number even though at lower Re, there is
less efficiency, but effect of LE tubercles can be observed.
LE tubercles could be installed at tapered wings since in real life
whales have tapered fins so, their effect at tapered wings should be
studied.
These LE tubercles could be fabricated to see their effects in real
time to get a better understanding of the flow physics.
39. 39 / 39
REFERENCES
Jones KD, Lindsey K, Platzer MF. An investigation of the fluid-structure interaction in an
oscillating-wing micro-hydropower generator. In: Fluid– structure interaction II. Wessex Institute of
Technology Press, Southampton, UK; 2003. p. 73–82.
Kinsey T, Dumas G. Parametric study of an oscillating airfoil in a powerextraction regime. AIAA J
2008;46(6):1318–1330, http://dx.doi.org/10.2514/ 1.26253.
Platzer MF, Young J, Lai JCS. Flapping-wing technology: the potential for air vehicle propulsion
and airborne power generation. In: 26th International congress of the aeronautical sciences
(ICAS), Anchorage, Alaska, 14–19 September 2008.
Young J, Ashraf MA, Lai JCS, Platzer MF. Numerical simulation of flow-driven flapping-wing
turbines for wind and water power generation. In: 17th Australasian fluid mechanics conference,
Auckland, New Zealand, 5–9 December 2010.
Kinsey T, Dumas G. Computational fluid dynamics analysis of a hydrokinetic turbine based on
oscillating hydrofoils. J Fluids Eng 2012;134(2):021104- 1–021104-16,
http://dx.doi.org/10.1115/1.4005841.
Young J, Ashraf MA, Lai JCS, Platzer MF. Numerical simulation of fully passive flapping foil power
generation. AIAA J 2013;51(11):2727–2739, http://dx.doi. org/10.2514/1.J052542.
Bryant M, Shafer MW, Garcia E. Power and efficiency analysis of a flapping wing wind energy
harvester. In: Proceedings of SPIE, vol. 8341. International Society for Optics and Photonics,
Bellingham, Washington, p. 83410E-1–11, http://dx.doi.org/10.1117/12.915344, 2012.
Zhu Q, Peng Z. Mode coupling and flow energy harvesting by a flapping foil. Phys Fluids
2009;21(3):033601-1–033601-10, http://dx.doi.org/10.1063/ 1.3092484.
Assalam u Alaikum Cadets and respected faculty, I am AC Husnain and today im going to be delivering my final year project presentation on the topic EFFECT OF TUBERCLES ON A FLAPPING WING IN ENERGY EXTRACTION MODE. My project is being advised by A/P Dr. M. NAFEES M. QADRI and Co advised by WG CDR AAMER SHAHZAD. There will be total of 21 slides in this presentation.
The idea of Leading Edge Tubercles is taken from the disturbances present on the leading edge of fins of humpback whales. The job of the tubercle is to generate vortices to maintain lift and avoid stalling at steep angles of attack.
Tubercles keep the flow linked to the airfoil or hydrofoil, increasing lift while decreasing drag. Flow attachment also reduces stalling at greater angles.
There are basically three types of flapping foil energy harvesters.
Fully activated system has prescribed pitching and heaving motion. Semi active systems have prescribed pitching motion while free heaving motion. Passive systems have free pitching and heaving motion.
I will be using active energy extraction system because active systems are easy to implement and understand furthermore, I can set the system parameters to my will to generate the desired power.
Active system is modelled using these two basic equations where theta_not is maximum pitching angle, gamma is angular frequency of the hydrofoil, h_not is maximum haeving amplitude and phi is phase difference between pitching and heaving.
The figure shows the pitching and heaving motion of the foil.
Γ = angular frequency = 2 pie f
Φ = phase difference
The criterion which decides when the flapping foil motion will require power or generate power is known as Feathering criterion. This criterion gives us the threshold pitching angle above which power will be generated, for a given plunge amplitude. The effective angle of attack should be negative for power generation and positive for propulsion mode
Numerator is pitching angle while denominator shows the effective angle of attack.
Power from flapping foils is extracted from two motions. The instantaneous power extracted from the flow (per unit depth) when χ > 1 comes from the sum of a heaving contribution and a pitching contribution where Yt is force in the normal direction, Vy is velocity in the normal direction due to heaving motion, M is the resulting torque about the pitching center xp, and omega is pitching rate of the hydrofoil
The power-extraction efficiency η is the ratio of the mean total power extracted P to the total power available Pa in the oncoming flow passing through the swept area (the “flow window”).
The formula is as flashed.
Here c is chord length of hydrofoil while d is the overall vertical extent of the airfoil motion this d is typically two times the heave ampltude
.
This table shows the comparison between different researches that were studied. The comparison was basically between the activation methods and their effect on power extraction and efficiency. After this comparative analyzation, It was concluded that Kinsey’s approach should be used as it gave the highest power and efficiency.
In the seventh semester, following tasks were done
For the eighth semester, following tasks will be done
For validation purposes, NACA0015 will be used. this geometry is chosen because I have to use this foil for the original problem. The cad model of the foil is shown.
These will be my fixed parameters for validation purposes. Geometry as earlier discussed will be NACA0015. ratio of pivot point distance to the chord length will be 0.3 Heaving amplitude will be exactly equal to the chord length.Initial Pitch of the hydrofoil will be taken as 75 degrees. Dimensionless reduced frequency f hysteric(=f c/U∞) will be taken as 0.14. the phase difference between heaving and pitching will be 90. these parameters are taken keeping in mind the feathering criterion. The figure illustrates the parameters discussed
There are three probable options to do this project. First is dynamic meshing which involves the usage of UDF which we were not provided so, other two options were tried at first. Instead of using udf, expressions were used in these methods. Expressions are a way to show velocity profiles which were earlier shown with udf. Sliding mesh method was not supportive of heaving motion while rotational motion was successful.
Moving Reference frame method was chosen since it was supportive of both rotational and translational motion. In this method, reference frame moves instead of the body so, problem of negative cell volumes and translational motion are resolved. Following output parameters will be compared to see if results are accurate or not.
Airfoil is taken as wall while semi circle in front is taken as inlet and semi circle at the trailing side is taken as exit.
In cell zone conditions, frame motion is selected while expressions for rotational velocity and translational velocity are added. These expressions represent pitching and heaving as shown in the matlab graph.
Fluid properties are defined while keeping in mind the renold number. Reference values are also taken keeping in mind the non dimensional coefficients that we need.
As motion of body id coupled, coupled scheme is used while second order is used everywhere else to get precise results. Standard initialization is used.
This is animation of velocity contour. It is 9.2s of flow time. Over six cycles of flapping motion is shown in this video.
This is animation of velocity contour. It is 9.2s of flow time. Over six cycles of flapping motion is shown in this video.
This is animation of velocity contour. It is 9.2s of flow time. Over six cycles of flapping motion is shown in this video.
This is animation of velocity contour. It is 9.2s of flow time. Over six cycles of flapping motion is shown in this video.
This is animation of velocity contour. It is 9.2s of flow time. Over six cycles of flapping motion is shown in this video.
The general Catia model of tubercles on naca0015 is shown this model is showing tubercles with 10% of the chord length amplitude and 20 percent of the chord length wavelength. These geometric parameters of the tubercles can be easily changed according to the cases.
The general Catia model of tubercles on naca0015 is shown this model is showing tubercles with 10% of the chord length amplitude and 20 percent of the chord length wavelength. These geometric parameters of the tubercles can be easily changed according to the cases.
The general Catia model of tubercles on naca0015 is shown this model is showing tubercles with 10% of the chord length amplitude and 20 percent of the chord length wavelength. These geometric parameters of the tubercles can be easily changed according to the cases.
These are references that I used to make this presentation.