Aircraft - Powerplant Flashcards
Boyles Law
Pressure and volume inversely proportional.
P x V = constant
Assuming constant temperature
Charles Law
Volume and temperature are proportional.
V / T = constant
Assuming constant pressure
Combined Gas Law
P x V / T = constant
Bournoulli’s equation
Static pressure + dynamic pressure = total pressure (constant)
Newton’s laws
1) A body will continue in rest or in uniform motion in straight line, unless acted upon by a force
2) Rate of change of momentum is proportional to (and in direction) of applied force
3) Action and reaction are opposite and equal
Work
Force x distance
Power formula
Force x distance / time
[the rate of doing work]
Force equation
Mass x acceleration
Thrust
A force based on acceleration and mass of air pushed backwards:
F = M x (V(jet) - V(flight))
Where V(jet) = speed of air existing turbine or propeller
V(flight) = speed of air encountered
Horsepower measurements
- Indicated
- Friction
- Brake
- Thrust
Indicated HP - Theoretical reciprocating engine power, based on pressure developed in cylinders, ignoring work done in the engine.
Friction HP - Work done within the engine
Brake HP - Power delivered to the shaft
Thrust HP - Power converted to thrust (brake HP with propeller efficiency)
Relationship between BHP, IHP and FHP
BHP = IHP - FHP
Piston engine efficiency
- overall
- thermal
- volumetric
Overall: 80%
Thermal: 33% (heat lost through exhaust)
Volumetric: 80%
Piston energy type chain
Chemical energy ->
Heat energy ->
Pressure energy ->
Mechanical energy
Piston strokes
Induction
Compression
Power
Exhaust
Connecting rod
- description
- small and big ends
Joins piston to crankshaft.
“Small end” at piston
“Big end” at crankshaft
Top dead centre & bottom dead centre
Based on piston and combustion chamber at the top and crankshaft & connecting rod at the bottom.
So TDC is small cylinder volume, BDC is max cylinder volume.
Piston engine
- Mean Effective Pressure (MEP)
The average pressure exerted on the piston during the power stroke.
This determines the theoretical power of the engine.
3 issues with theoretical 4 stroke engine
Air has momentum.
At BDC and TDC linear movement of piston is very small despite rotational movement of crankshaft being constant (“area of ineffective crank angle”).
Combustion of fuel and increase in pressure is not instantaneous.
Changes in practical 4 stroke engine based on the issues with theoretical
Valve timing
Ignition timing
4 stroke valve timing
Both valves lead and lag.
This maximises the amount of mixture that can enter and reduces required valve speeds.
Some loss of power due to exhaust opening before power stroke is complete, but this is minimal due to limited piston movement at BDC.
Valve overlap
Lead and lag of the inlet and exhaust valves leads to a period when both are open.
This allows the momentum of exiting exhaust gas to “pull in” new mixture, called scavenging.
Valve timing - fixed or variable?
Valve timing is optimised based on the shape of the cam, which is fixed, so valve timing is fixed.
It doesn’t vary with RPM.
[Note: determined in terms of angles, not speed, obviously higher RPM leads to faster physical valve speeds, but same point in the cycle]
4 stroke ignition timing
- General
- Variable?
Ignition is “advanced”, so happens before TDC, to ensure that power peaks as piston leaves period of ineffective crank angle.
Timing DOES change based on RPM (unlike valve timing) as combustion delay is fixed, so as the engine gets faster the spark needs to happen earlier to achieve the right timing.
Radial engines
- description
- # cylinders
Pistons mounted radially around the crank shaft. Need to have an odd number of cylinders to allow timing (e.g. 1, 3, 5, 2, 4).
Creates a big area with a lot of drag, and upside down cylinders have issues with oil pooling.