AERO3630: State the Three Physical Principles the Governing Equations - Engineering Assignment Help

Assignment Task:

Task:

Q1
Answer the following. Each question is worth 1 mark.
a) State the three physical principles the governing equations of aerodynamics are based on.
b) What is the lift coefficient of a thin, symmetric airfoil set at 5 degrees angle of attack?
c) Assuming an incompressible and irrotational flow can be described by a velocity potential (∅), write the corresponding governing equation.

d) Consider an airfoil placed in air with zero velocity. If the flow starts suddenly, a vortex is shed from the airfoil into its wake with circulation −Γ$. What is the strength of the bound vortex on the airfoil?
e) Consider an airfoil with thickness ? and a cylinder of diameter ? = ?. If they are each placed in separate flowfields so that ??* = ??+ = 3 × 100, which one has the highest drag?

f) Consider two identical supersonic flows that are brought to stagnation conditions in two different ways. The first flow passes through a normal shock wave before isentropic compression to stagnation conditions. The second flow is compressed isentropically from the freestream conditions to stagnation conditions. Which one has the higher stagnation temperature?
g) What is the name of the phenomenon that describes the rapid increase in drag experienced by an aircraft as Mach number approaches unity (?3 → 1)?
h) Above what Mach number would you expect a flow to behave like a compressible gas?
i) Assuming linearised supersonic theory, calculate ?/? for a flat plate at 5 degrees angle of attack.
j) What chemical process occurs in the air surrounding a spacecraft during re-entry that causes “communications blackout”?

Q2

An aircraft designed to fly at low subsonic Mach number has a wing planform area of 25 m2 and a span of 12 m. At one particular flight condition, ?; = 0.17 and ?> = 0.025. If the mass of the aircraft is 2000 kg, what power is required to maintain steady level flight at maximum ?/? and a speed of 125 m/s?

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