Civil jet aircraft performance

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Presentation transcript:

Civil jet aircraft performance

Four forces of flight Newton’s second law Resulting force perpendicular to the flight path Net thrust from the engines α angle of attack V velocity resulting force parallell to the flight path Newton’s second law

Aerodynamic equations L=Lift = q·S·CL [N] D=Drag = q·S·CD [N] q = dynamic pressure [N/m²] S = reference wing area [m²] CL = coefficient of lift CL = f(α,Re,M) CD = coefficient of drag CD = f(α,Re,M)

Reference wing area The area is considered to extend without interruption through the fuselage and is usually denoted S.

Lift versus angle of attack

The ISA Atmosphere From lecture 5

Equations

Lift equation

Drag equation

Drag polar

High speed drag polar

A flight consists of: Taxi Take off Climb Cruise Descent Approach and landing Diversion to alternate airport?

Cruise For an airplane to be in level, unaccelerated flight, thrust and drag must be equal and opposite, and the lift and weight must be equal and opposite according to the laws of motion, i.e. Lift = Weight = mg Thrust = Drag

Range

Range

Breguet range equation For a preliminary performance analysis is the range equation usually simplified. If we assume flight at constant altitude, M, SFC and L/D the range equation becomes which is frequently called the Breguet range equation

Breguet range equation The Breuget range equation is written directly in terms of SFC. Clearly maximum range for a jetaircraft is not dictated by maximum L/D, but rather the maximum value of the product M(L/D) or V(L/D).

Breuget range equation From the simplified range equation, maximum range is obtained from Flight at maximum Low SFC High altitude, low ρ Carrying a lot of fuel

Range

Endurance Endurance is the amout of time that an aircraft can stay in the air on one given load of fuel

Endurance