Kutta theorem

Which of the following is NOT considered an elementary flow field discussed in the previous lecture?

• Uniform flow

• Source/sink

• Doublet

• Boundary layer

Which of the following complex flow patterns can be created by combining elementary flow fields?

• Flow around a semi-infinite body

• Flow around a Rankine oval

• Flow around a stationary cylinder

• All of the above

What is the primary purpose of the Kutta-Joukowski Theorem in aerodynamics?

• To calculate drag on a body

• To relate flow circulation to the lift produced by a body

• To determine the compressibility of a fluid

• To analyze viscous effects in a flow

For a stationary cylinder in an elementary flow, what can be concluded about the drag and lift forces based on flow symmetry?

• Both drag and lift are non-zero.

• Drag is zero, but lift is non-zero.

• Both drag and lift are zero.

• Lift is zero, but drag is non-zero.

In the case of a rotating cylinder, how do the drag and lift forces compare to those of a stationary cylinder?

• Both drag and lift remain zero.

• Drag remains zero, but lift becomes non-zero due to asymmetry in the horizontal plane.

• Lift remains zero, but drag becomes non-zero due to asymmetry in the vertical plane.

• Both drag and lift become non-zero.

What is the main difference between stationary and rotating cylinder flows that causes the asymmetry leading to lift in the rotating case?

• Increased fluid density

• Addition of a point vortex elementary flow

• Higher free-stream velocity

• Change in cylinder material

In the Kutta-Joukowski Theorem equation (L' = ρU∞Γ), what does 'Γ' represent?

• Fluid density

• Free-stream velocity

• Circulation

• Lift per unit span

The Kutta-Joukowski Theorem was developed independently by a German mathematician and a Russian physicist. What were their names?

• Bernoulli and Euler

• Reynolds and Navier

• Kutta and Joukowski

• Prandtl and Blasius

What is the first step in calculating the lift force from the velocity field of a rotating cylinder?

• Directly measure the lift

• Find the pressure from the velocity field

• Integrate the shear stress

• Determine the fluid viscosity

Which principle is used to relate the pressure of a fluid to its velocity in an incompressible and inviscid flow?

• Newton's Second Law

• Bernoulli's Equation

• Continuity Equation

• Navier-Stokes Equations