2P8 Mechanical Engineering Flashcards
(66 cards)
What are the rules of thumb for placement of wind turbines?
Top of smooth hill, good
At least 10H from obstacles, H is height of tower
Don’t put near sharp cliffs
How does pressure vary along the axis of a wind turbine?
Free stream, pa, increases to p just befiore rotor then p-Δp just after the wind turbine, then returns to pa father away.
Define axial induction factor?
u = (1-a)V0
What are the three steps to deriving Betz limit in broad terms?
Use bernoulli to find Δp
Use SFME to find N (reaction force in wind)
Write power as a function of a, V0, ρ, A
What are the two equations for thrust of a wind turbine?
N=ΔpA
Ν = mdot (V0-u1)
Use this to find u1 = (1-2a)V0
Equation for power?
P=Nu
What is the coefficient of power?
power from wind turbine/ max available power from the wind.
Key values of a, axial induction factor?
a>0.5 is impossible (flow completely stops)
a = 1/3 leads to maximum power
a=1/2 leads to maximum force
Define capacity factor.
The total energy generated in a year compared to the max possible if the installation if it was to run at full output all year
What does the graph of CL and Cd against angle of attack look like?
Drag remains constant at around 0.02, lift increases linearly until stall.
At stall, drag increases significantly
keep α<15 to avoid stall
Where do lift and drag point?
Lift - perpendicular to the oncoming wind direction
Drag - parallel to the oncoming wind direction
What is θ in BEM?
Angle of blade twist relative to the tangential velocity direction
What are the components of the velocity relative to an aerofoil section of the blade?
Tangential component is ωr(1+a’) where a’ is the angular induction factor.
In the axial direction the velocity is V0(1-a)
How do you find φ, the relative wind direction?
tan φ = V0(1-a)/ωr(1+a’)
How do you find the angle of attack?
α = φ-θ
Eq for normal and tangential component of Force on blade?
FN = FL cos φ + FD sin φ
FT = FL sin φ - FD cos φ
How do you find axial and angular momentum change in annular control volume?
Use an annular control volume, and look at the rate of change of momentum
How do you find flapwise or tangential bending moment at root of blade?
Integrating FN (r-rmin)dr
Integrating FT(r-rmin)dr
How do you find deflection of a blade?
Split inot elements, determine bending stiffness for each element, bending moment, rotation and delta
How does aerodynamic loading intensity scale?
FN scales as 1
total load scales as 2
root bending moment scales as 3 integral (Fn r dr)
What becomes critical with bigger size?
Self-weight
Tip deflection
How to find material indicies?
eliminating free variable and finding equation for mass or cost…
Advantages of composites?
High specific stiffness and strength
Complex shapes are possible
Corrosion resistance
Smooth surface
Low maintenance
How can you optimise blade design?
Align fibres with loading direcion, using multidirectional laminates