Mechanics of Flight SESA2025 Part A
61 flashcards · Physics · by Zack Phipps
what is pitch altitude equal to pitch altitude = angle of climb + angle of attack
what is angle of climb
angle of the velocity vector of the aircraft to the horizontal
assuming steady flight and that aoa is small what is thrust equal to T = - D - DT - Wsin(gamma)
force balence equation for steady flight L* = L +LT = wcos(gamma)
L* = L +LT = w cos(gamma)
moment balance equation for steady flight: 0 = M0 + L*(h-h0)C - LTl
tail volume fraction k = STl/SC
coefficient moment balance equation for steady flight
coefficient force balance equation for steady flight
what is
setting angle = angle between aircraft body axis and zero lift line of the tailplane
what is the effective angle of the tail-plane
what is the effective angle of the tail-plane with expanded terms
what is the linear model of the tailplane coefficient of lift
what are the a1 a2 a3
fun facts about the elevator (4)
hinged by the hinge line controlled by the pilot the moment around the hinge line is CMH increasing the velocity increases the CMH
the elevator hinge moment can be modelled using what eqaution?
what is b1
what is b2
difficulty to change the elevator angle
what is b3
what is the purpose of the horn balance?
a horn balance can be shielded or unshielded and they reduce floating and the restoring tendency of an aircraft
What is the purpose of the yoke
controls the elevator directly
what is the purpose of the trim tab
controls the elevator indirectly
Four important facts about stick fixed flight
applies force on the yoke to overcome the hinge moment Cmh != 0 beta = 0 high pilot effort
Four important facts about stick free flight
rotates trim tab to move elevator Cmh = 0 elevator can float uses aerodynamics to change elevator angle
CLt model for stick fixed flight S
CLt model for stick free flight S
CMh model for stick free flight
CMh model for stick fixed flight
what are a1 and a3
as a1_bar < a1 what dpes this mean for lift and why
as the tail plane produces less lift per unit change of angle of attack this is because the geometry of the wing changes with different angles of attack making less efficient at producing lift. this also leads to lower pitch stiffness and worse stability characteristics needs to use horn balance to reduce the floating tendency
what is fixed tail trim and what are the pros and cons
the whole elevator moves as one pros light cheap easy to design safe in case of failure negs limited control high drag associated with trim
what is an all moving trim design and what are the pros and cons
changes the installation angle of the wing - whole wing moves pros higher trimming power wider range of CG movements lower drag as elevator and stabiliser are aligned when aircraft is trimmed cons structural design
what is an adjustable tail trim design and what are the pros
changes the installation angle for trim and uses an elevator for control around the trim point low rotation rate required higher trimming power wider range of CG movements lower drag as elevator and stabiliser are aligned when aircraft is trimmed
what is moving CG trim design and what are the pros
moving the fuel back and forth between different departments in order to control the CG point no drag from the tail
the main wings are optimised for high so=peed and efficiency by maximising:
d is depending on the efficiency and propulsion
for take offf aand landing a high SCL* is required, why? and what does this mean for other flight parameters?
a high SCL* is needed because of the low speed at landing this means: high angles of attack - reduces the risk of stall changing wing geometry to boost SCL* high velocities at take off at landing to reduce the need for such a high SCL*
what do flaps do
change the camber line near the trailing edge temporary transformation into a different aerofoil great increase in surface area higher h0 more negative M0 high drag penalty
describe the five different flap designs plain flaps split flaps slotted flaps fowler flap double-slotted fowler flap
what is the downside to flaps?
lift production is not free, is causes drag to combat this different deployment is used is take off and landing flaps away for cruise flaps out for take off and initial climb max flaps for approach to landing - max lift and high drag
what is the influence of the flaps?
they increase the effective camber of the wing and increasing the wing area, this changes the zero lift angle alpha0, the more the flaps deploy the more negative alpha0, the stall angle may also drop due to flow separation on the flap
what do slats do?
mmanipulate flow , flow remains attached for higher aoa so is less likely to stall and therefore increase CL,Max lower drag penalty then other methods small influence on alpha0 and CM0 lower h0
what is a krueger flap
portion of the lower wing is rotated out in front of the main wing leading edge
what is a leading edge droop
morphing of the leading edge wing geometry to increase camber
what is the fuselage fineness ratio
length of the fuselage over the diameter
what impact does the fuselage fitness ratio have over the drag penalty? and what are the limitations
the higher the fuselage fineness ratio the lower the drag penalty but it cant be too long as the fuselage limits the angle the aircraft can achieve before tail strike occurs - which affects mimimum take off speed(runway length) can be minimised by optimising tail shape
what is zero lift drag?
D0 Zero-Lift Drag (also Parasitic Drag): The sum of drags not directly associated with the production of lift.
whats is induced drag?
DL Lift-related Drag (also Induced Drag): The sum of drags associated with the production of lift (typically due to wings & tail-planes)
What is Dint
Interference Drag: Additional drag resulting from bringing two bodies in proximity to each other wing-fuselage joints prevented by using suitable fairings
whats is Dpro
Profile Drag: Drag due to the sum of skin friction drag and pressure drag (form drag) A boundary layer over a surface causes skin friction, which creates drag •Laminar flow results in significantly lower skin friction coefficient
what is Dwav
Wave Drag: Drag resulting from compressibility effects • Caused by shock waves appearing around the airfoil, causing additional drag Reduced with supercritical airfoils • Has zero-lift and lift-related component
what is Di
Vortex-Induced Drag: Drag resulting from trailing vortices at the tips of a finite wing (3-D effect)
what is Dm
Trim Drag: Change of drag due to the tail-plane’s contribution at a trim condition
how to reduce induced drag
Decreasing the lift, L, i.e. weight of the aircraft – Increasing the aspect ratio A – Change e, the spanwise lift distribution
equations for induced drag and induced drag coefficient
what does the transition from laminar to turbulent flow on the aerofoil depend on?
Reynolds number (i.e. aircraft velocity) Surface finish Free-stream turbulence intensity Geometry
what happens to lift of the main wing and tail lift if the CG moves foreward
if CG moves forward ac moves so h decreases as CLT depends on h, CLT decreases, as L* remains the same L must increase
trim drag equation?
what is equation
what is CDL* equation
what is the minimum CDm
overall aircraft drag after trim can be expressed s