Principles of Flight Flashcards
Wing loading
Aeroplane weight / wing area
in kg/m(2)
Boundary Layer
Layer of air next to aerofoil, few mm thick
Air outside boundary layer (term)
Freeflow airflow
Streamline flow
Each air molecule has the same velocity and static pressure as preceding molecules
Turbulent flow
Each molecule follows a different path to the one preceding it
Transition point
Point where boundary layer thickens and flow starts to become turbulent
Separation point
Point where boundary layer separates from surface of the aerofoil
Compressibility of air
This is a factor above 300kts but ignored for PPL
Total energy equation
Pressure energy + kinetic energy = constant total energy
Effect implied by total energy equation
Venturi effect - an increase in kinetic energy must result in a decrease in pressure energy
Kinetic energy equation
1/2 * Mass * V(2)
Dynamic pressure equation
1/2 * rho * V(2)
where rho is air density
Relationship between kinetic energy and dynamic pressure
Essentially equivalent, rho represents air density which is the equivalent of mass when considering a volume of air
Total pressure equation
Static pressure + dynamic pressure = constant total pressure
Bournoulli’s principal
Increased velocity results in decreased static pressure (and opposite)
Direction of force on aerofoil and how it is represented in components
Camber & mean camber line
Curvature in the shape of the aerofoil.
Mean camber line is half way between top and bottom edge of aerofoil at all points.
Chord line
Straight line joining each end of the camber line (i.e. furthest points of the aerofoil).
Chord
Distance from one end of aerofoil to another (i.e. leading edge to trailing edge)
Purpose of camber
Increases lift by increasing acceleration of airflow over the cambered part of aerofoil.
Higher lift at a given speed and angle of attack (i.e. allows lower AoA or lower speed)
Aerofoil diagram
- Leading edge & LE radius
- Max camber & location
- Max thickness & location
- Chord & mean camber lines
Angle of Attack
Angle between chord line and direction of relative air flow
Angle of Incidence
Angle between chord line of wing and longitudinal axis of aircraft (fixed, unlike AoA)
Point through which total reaction on aerofoil is said to act
Centre of Pressure
Relationship between centre of pressure and angle of attack
At cruise (about 4 deg AoA) CoP is around middle of chord line.
As AoA increases it moves forward to about 20% along chord line.
At critical angle it starts to move backwards.
Equation for Lift
Lift = C(Lift) * 1/2 * rho * V(2) * S
Relationship between C(Lift) and AoA
Vertical moment forces on aeroplane
Effect on moment forces of AoA changes
At cruise a downforce at tail is required to offset moment forces (lift & weight).
As speed reduces and AoA increases, CoP moves forwards which reduces the moment and therefore the downforce required at tail.
Lift from symmetrical aerofoil against AoA (compared to cambered)
Similar relationship but symmetrical has zero lift at zero AoA.
C(Lift) profile (vs AoA) is therefore parallel but slightly lower than cambered profile.
Laminar Flow wing
Lower camber and thickness than typical (cambered) wing.
Better streamline flow over surface therefore less drag, suitable for high speed craft.
Has a higher stall speed however and lower maximum C(Lift).
[note same level of lift force can be generated but requires higher speed]
Induced drag
Drag resulting from the production of lift, i.e. wing vortices at trailing edge and wingtips
Parasite drag (3 types)
All drag other than induced drag
e.g. form drag, skin friction, interference drag
Skin friction
- Definition
- Factors (6)
Friction forces between air and aircraft skin.
- Surface area of aircraft
- If boundary layer is turbulent or laminar (more friction from turbulent)
- Surface roughness
- Airspeed
- Aerofoil thickness
- AoA
Form drag
Drag due to the shape of the object.
Can be combatted with streamlined design (e.g. fairing around landing gear)
Interference Drag
Caused by flow interference around junctions in aircraft shape
Relationship of parasite drag with speed
Parasite drag is zero at zero speed and increases with the square of speed
Wing design features to limit induced drag
- High aspect ratio
- Tapered wings (narrower at tip than at root)
- Geometric Washout
- Wingtip modification
Aspect ratio
Issues around high aspect ratio
= span / chord
High aspect ratio reduces induced drag, however it is structurally challenging and parasite drag is slightly increased.
Washout
Higher AoA at root of wing than at tips, reduces induced drag by generating less drag at tips and more closer to the root.
Induced drag vs airspeed
Total drag vs airspeed
Formula for drag
Drag = C(Drag) * 1/2 * rho * V(2) * S
C(drag) vs angle of attack
How Lift/Drag is optimised
Importance of this
Lift/Drag = C(Lift) / C(Drag)
[other components 1/2 rho v(2) S cancel out]
This varies based on angle of attack.
Highest Lift/Drag ratio gives the most efficient flight configuration.
Lift/Drag ratio plotted against AoA
Formula for IAS
IAS = 1/2 * rho * v(2)
[this is a relationship, not a true equality]
Propeller blade face
The face of the blade faces the airflow. It is the “back” of the blade when looking at the propeller from in front of the aircraft.
Blade angle
Angle between the plane of rotation of the propeller and the chord line of the propeller.
Helix angle
Angle between the propeller plane of rotation and the resultant velocity of air flow experienced - from rotation of propeller and forward movement of the aircraft.
Propeller angle of attack
The difference between helix angle and blade angle
Blade/helical twist
As rotational velocity is different at different points on the blade, helix angle changes along it’s length (higher at root).
Blade angle needs to vary along the length to achieve suitable force along it.
Where along blade is most thrust generated?
Due to interference around the propeller hub and vortices @ tip, area of 60-90% propeller length generate most of the thrust.
Peak is at around 75% so pitch angle is usually quoted at this point.
Optimising angle of attack of propeller blades
For fixed propellers, the angle of attack will be optimised for a certain airspeed, however will become less optimal at different airspeeds.
Variable pitch propellers combat this.
CSU/PCU
- Stands for
- Description
Constant-speed unit or Propeller control unit.
Adjust pitch of blades (fine vs coarse) to maintain selected rpm as engine power is increased or decreased.
CSU during take-off
In take off speed is low => helix angle low => fine pitch angle desired.
Set high rpm so high power setting doesn’t lead to a coarse blade pitch.
As propeller rotation increases to max rpm, blade pitch will coarsen at the same time as airspeed increases, thus maintaining good blade AoA.
CSU in cruise
Increase in power will translate to coarsened blade pitch to maintain rpm, so as forward speed increases the pitch angle increases to maintain AoA of blades.
General method when increasing power with variable pitch propeller
- Increase RPM
- Increase manifold pressure
General method when decreasing power with variable pitch propeller
- Decrease manifold pressure
- Decrease RPM
Slipstream effect
Clockwise (from cockpit) spinning propeller creates spiral airflow, going under fuselage and striking right side of tail as it flows backwards.
Aerodynamic effect pushes tail to the right and yaws nose to the left.
Propeller torque reaction
Clockwise rotating propeller creates an opposite torque reaction making the aircraft roll to the left.
Two moment forces around aircraft
CoG forward of CoP creates a moment that pitches nose downwards.
Thrust created at lower point than drag creates a moment force pitching nose upwards.
Might be other way around, ideally the two should balance.
Advantage to CoG forward of CoP
When thrust is lost (drag also reduces), the pitch down moment takes over, which makes the plane tend towards a glide when power is lost, rather than towards a stall.
How are the two moment forces controlled in flight?
Tailplane is the balancing moment. Set a long distance from the other forces so that minimal force will create a large moment.
Axis names and names of movement around those axes
Longitudinal axis: Roll
Lateral axis: Pitch
Normal axis: Yaw
Stability axis to movement relationship
Longitudinal stability: Pitch
Directional Stability: Yaw
Lateral stability: Roll
How is longitudinal stability achieved?
If wind pitches the nose up, the AoA of the tailplane will increase, generating more lift and therefore a pitch down force.
Impact of CoG position on longitudinal stability
Further forward CoG increases the moment force of the tailplane, increasing stability but reducing controllability
How is directional stability achieved?
Inadvertent yawing presents one side of the tailplane to the airflow which results in a correcting force
How is lateral stability achieved?
In an unintended roll the plane sideslips and airflow over lower wing is at higher AoA, causing higher lift.
In addition, higher wing is shielded from this airflow by fuselage, decreasing its lift relative to lower wing.
Plane designs increasing lateral stability
- Dihedral
- Wing sweepback
- High keel surfaces relative to CoG
- High wings
Dihedral
- Definition
- Effect on lateral stability
This means wings are angled upwards.
Results in the AoA of lower wing being higher to relative airflow than the upper wing, increasing the recovery forces.