Fixed Wing Flashcards
Equation for Cl and Cd?
Cl = L/(0.5rhoS*V^2)
Same for Cd but replace L for D
Induced Drag Coefficient equation?
K/(pi*A)
where e = Oswald efficiency factor
K = 1/e
and A is the aspect ratio = span^2 / area
What are the equations for the coefficents a, b, A and B?
a = Cdo b = K/(pi*A)
Used for Climb:
A = a0.5rhoS
B = (bW^2) / (0.5rhoS)
Relationship between TAS and EAS
Ve = Sqrt(sigma)*V where : Ve = EAS V = TAS sigma = density ratio = rho/rho,o
What is wetted area?
Area of a/c or component that is exposed to airflow
Wing Characteristics?
Aspect ratio = A = span^2 / area
Wing sweep = ‘triangle without base’
Taper = gamma
Lift Coefficient conventions
CL with capital L is for 3D lift coefficient
Cl with lower case l is for 2D lift coefficient
Difference between Endurance and Range?
Endurance is time in the air for a given amount of fuel
Range is distance flown for a given amount of fuel
What does c represent is equations?
c = Specific fuel consumption measured in N/N/s
often W1 and W2 is seen in range and endurance calcs as chnage in weight due to fuel burn.
Explain GSAR
GSAR = Gross Still Air Range
is an idealised concept that ignores wind and fuel used to climb to and from cruise altitude
For Jet
To maximise GSAR need to maximise sqrt(CL)/CD (max range on formula sheet)
For Prop
To maximise GSAR need to maximise CL^(3/2) / CD (min drag)
What is Specific Air Range (SAR) and Specific Endurance (SE)?
SAR - Distance flown per unit weight of fuel
SE – Time flown per unit weight of fuel
How high can an aircraft fly?
Thrust falls faster, so climb rate falls with altitude. The maximum altitude or ceiling is defined by:
Absolute Ceiling – rate of climb is zero
Service Ceiling – altitude at which a useful rate of climb is still available (100 feet per minute)
Zoom Ceiling – aircraft converts kinetic energy to potential energy to temporarily exceed absolute ceiling
Distance needed to take-off may change due to what factors?
Weight may not be precisely known
Forecast atmospheric conditions may be different from values assumed during flight planning
Wind effects
Engine thrust/aircraft drag change with age
Pilot technique
Required Take-off distances
Take Off Run Required (TORR) =
[(DISTANCE FROM START TO LIFT OFF) +⅓ (DISTANCE FROM LIFT OFF TO SCREEN)] x 1.15
Emergency Distance Required (EDR) =
(DISTANCE FROM START TO SPEED AT WHICH CRITICAL ENGINE FAILS) + (DISTANCE TO COME TO A STOP THROUGH BRAKING)
Take Off Distance Required (TORD) =
(DISTANCE FROM START TO AN ALTITUDE OF 35 FEET) x 1.15
Unfactored Take-off distance required = Sg +St + Sc
Typical Speeds during take-off relations
𝑽lof ≥ 𝟏.𝟏𝑽𝒔 and 𝑽𝟐 ≥ 𝟏.𝟐𝑽s
𝑽trans= 𝟏.𝟏𝑽s
How do landing calculations vary in comparison to take-off ones?
Are the same just the opposite.
For flare and descent use transition and climb equations from previous take off analysis
But Sg term is slightly different
Made up of :
Approach distance
Flare
Ground roll = free roll + braking distance
What is the aerodynamic centre?
The aerodynamic centre is a fixed point for which the pitching moment is invariant with incidence (i.e. aircraft attitude)
When can the pilot fly hands off?
M = 0
where M is total pitching moment