Questions from Fundamentals of Aerodynamics

Q: The shock waves on a vehicle in supersonic flight cause a component

The shock waves on a vehicle in supersonic flight cause a component of drag called supersonic wave drag Dw. Define the wave-drag coefficient as CD,w=Dw/q∞ S, where S is a suitable reference area for t...

Q: Prove that the velocity potential and the stream function for a uniform

Prove that the velocity potential and the stream function for a uniform flow, Equations (3.53) and (3.55), respectively, satisfy Laplace’s equation.

Q: Prove that the velocity potential and the stream function for a source

Prove that the velocity potential and the stream function for a source flow, Equations (3.67) and (3.72), respectively, satisfy Laplace’s equation.

Q: Consider the flow over a semi-infinite body as discussed in

Consider the flow over a semi-infinite body as discussed in Section 3.11. If V∞ is the velocity of the uniform stream, and the stagnation point is 1 ft upstream of the source: a. Draw the resulting se...

Q: Derive Equation (3.81). Hint: Make use of

Derive Equation (3.81). Hint: Make use of the symmetry of the flow field shown in Figure 3.18; that is, start with the knowledge that the stagnation points must lie on the axis aligned with the direct...

Q: Derive the velocity potential for a doublet; that is, derive

Derive the velocity potential for a doublet; that is, derive Equation (3.88). Hint: The easiest method is to start with Equation (3.87) for the stream function and extract the velocity potential.

Q: Consider the nonlifting flow over a circular cylinder. Derive an expression

Consider the nonlifting flow over a circular cylinder. Derive an expression for the pressure coefficient at an arbitrary point (r, θ) in this flow, and show that it reduces to Equation (3.101) on the...

Q: Consider the nonlifting flow over a circular cylinder of a given radius

Consider the nonlifting flow over a circular cylinder of a given radius, where V∞=20 ft/s. If V∞ is doubled, that is, V∞=40 ft/s, does the shape of the streamlines change? Explain.

Q: Consider the lifting flow over a circular cylinder of a given radius

Consider the lifting flow over a circular cylinder of a given radius and with a given circulation. If V∞ is doubled, keeping the circulation the same, does the shape of the streamlines change? Explain...

Q: The lift on a spinning circular cylinder in a freestream with a

The lift on a spinning circular cylinder in a freestream with a velocity of 30 m/s and at standard sea level conditions is 6 N/m of span. Calculate the circulation around the cylinder.