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Paper 8


🇬🇧
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Ben Silva


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[Front]


what to use for mass flow questions
[Back]


m root(cp To)/A po

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40 questions
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Epicycle gearbox
Advantages compact light cheap disadvantages: difficult to dissipate heat difficult to use helical gears -> noisy, load sharing
Overall efficiency
= n_p x n_th = work to aircraft / energy released in combustion. = thrust/mf x speed/LCV = 1/sfc x V/LCV
Gross thrust, net trust
Net = m(Vj - V), gross = mVj
Overall efficiency
= n_p x n_th = work to aircraft / energy released in combustion. = thrust/mf x speed/LCV = 1/sfc x V/LCV
Gross thrust, net trust
Net = m(Vj - V), gross = mVj
Gross thrust, net trust
Net = m(Vj - V), gross = mVj
Gross thrust, net trust
Net = m(Vj - V), gross = mVj
What is phi?
Flow angle, angle from rel velocity to plane of rotation ? = ? + ?
What is theta?
Blade twist
Gross thrust, net trust
Net = m(Vj - V), gross = mVj
What is a', and therefore what is incoming tangential air speed viewed from blade reference frame
A' is tangential induction factor - the proportion of air that is deflected sideways into the plane of rotation. Therefore incoming tangential airspeed = ?r(1 + a')
Lift and drag are defined relative to what
Relative to incoming flow ?, NOT the blade twist.
Tip speed ratio
? = ?r/v where v = wind speed
Triple bottom line
Financial Performance Environmental Performance Social Performance
Why is shell made of multi-directional
Easy to mould, tear resistant (impacts), carries bending, shear and normal stresses
Why is spar made of uni-directional
Predominantly bending stress in one direction
Why is tower sometimes steel
Tower mass not as important, cheap, easy to form into circle by rolling sheets.
Why is it better to have more than minimum turbine stages
Cooling limits loading due to cooling flows limiting boundary layer development
Gross thrust, net trust
Net = m(Vj - V), gross = mVj
How similar are plane emissions to other transport
Similar to car with 2 passengers, much higher than bus/train
How to calculate core exhaust velocity of jet
Use pressure at turbine exit and pressure of atmosphere to calculate temperature drop using isentropic equations. Then use delta h = 1/2 V^2
Propulsive efficiency
2V / (V + Vj) derived from power to aircraft/power to jet
Thermal efficiency
Delta KE / mf LCV derived from kinetic energy added to air/energy released in combustion
Overall efficiency
= n_p x n_th = work to aircraft / energy released in combustion. = thrust/mf x speed/LCV = 1/sfc x V/LCV
Assumptions for BEM to calculate forces on blades
Constant section thickness -> c(r), r, v0, w
BEM steps for a, a', flow angle, forces
Choose a = a' = 0 calculate flow angle calculate cL, cD, cN, cT calculate a, a' required for cN, cT if different -> go back to step 2 if not -> calculate forces on blades
Sigma = rotor solidity = what?
Amount of the circumference of the rotor plane the blades take up =cB/(2pi*r) where B is number of blades
Advantages of doubly fed induction generator
Can generate reactive power allows variable speed operation only requires fractionally rated power convertor -> works by simulating rotor resistance with artificial source, thereby changing value of slip that gives max torque. Avoids losses in those resistors
Epicycle gearbox
Advantages compact light cheap disadvantages: difficult to dissipate heat difficult to use helical gears -> noisy, load sharing
Sync generators vs induction
Sync: needs more powerful convertor to handle conversion from full rated power to sync speed of turbine. Heavier, extra cost. No gearbox however