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Subsonic and Supersonic Flow over Wings Questions and Answers

51.

Assertion (A): The Prandtl-Glauert rule may be used up to a wing's drag-divergence Mach number.

Reason (R): The rule is a linearisation valid only for wholly subsonic flow.

Select the correct answer from the options below.

Answer: C

The assertion is false and the reason is true. The rule fails as soon as a supersonic pocket appears, which happens at the critical Mach number, and that lies below the drag-divergence value. Using it in the band between the two is a common and material error.

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52.

Assertion (A): A forward-swept wing stalls at the root before the tip.

Reason (R): Forward sweep drives the boundary layer inboard rather than outboard.

Select the correct answer from the options below.

Answer: D

Both statements are true and the second is the reason for the first. Reversing the sweep reverses the spanwise drift, so the thickened layer collects at the root and the stall begins there with the ailerons still effective. The obstacle is structural divergence, not aerodynamics.

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53.

Assertion (A): Winglets are widely fitted to subsonic airliners but rarely to supersonic aircraft.

Reason (R): Induced drag is a much smaller share of the total at supersonic cruise.

Select the correct answer from the options below.

Answer: A

Both are true and the second explains the first. A winglet attacks induced drag, which dominates in slow, heavy flight but is modest against wave drag and friction at supersonic cruise. Its own wave drag and added area can easily cancel whatever it saves.

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54.

Consider the following statements about sweeping a wing back:

1. It raises the drag-divergence Mach number.

2. It encourages the tip to stall before the root.

3. It increases the maximum lift coefficient of the wing.

Which of the statements given above is or are correct?

Answer: B

The first two are correct and are the central benefit and the central penalty of sweep. The third is the wrong way round: sweep reduces maximum lift, which is why swept-wing aircraft carry such elaborate leading- and trailing-edge high-lift systems.

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55.

Consider the following statements about a supercritical aerofoil:

1. Its upper surface is relatively flat over the forward part of the chord.

2. It carries pronounced aft camber.

3. It prevents any supersonic flow from forming on the surface.

Which of the statements given above is or are correct?

Answer: C

The first two describe the shape correctly, the aft camber recovering the lift the flattened crest gave away. The third is false: the section does not prevent supersonic flow but keeps it at a modest Mach number so the terminating shock stays weak.

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56.

Consider the following statements about the area rule:

1. It concerns the distribution of total cross-sectional area along the aircraft.

2. It led to the waisted fuselages seen on early supersonic aircraft.

3. It applies only above Mach three.

Which of the statements given above is or are correct?

Answer: D

The first two are correct. The third is false: the rule is a transonic result, most valuable around Mach one, which is exactly where the F-102's problem lay. A supersonic area rule exists but is a separate and later development.

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57.

Consider the following statements about a subsonic leading edge:

1. It lies behind the Mach cone from the wing apex.

2. The velocity component normal to it is below sonic speed.

3. It must be made sharp to avoid a detached shock.

Which of the statements given above is or are correct?

Answer: A

The first two define what a subsonic leading edge is. The third is precisely the opposite of the truth: because the normal component is subsonic, the edge may be rounded and can develop leading-edge suction. It is the supersonic edge that must be sharp.

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58.

Consider the following statements about wave drag on a supersonic wing:

1. It has a component depending on the thickness distribution.

2. It has a component depending on the lift.

3. It disappears entirely if the wing is given a high aspect ratio.

Which of the statements given above is or are correct?

Answer: B

The first two are the standard decomposition into volume-dependent and lift-dependent wave drag. The third is false. Aspect ratio attacks induced drag, not wave drag, and a longer span can actually increase wave drag by pushing the tips outside the Mach cone.

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59.

Consider the following statements about slender delta wings:

1. They develop nonlinear vortex lift at high incidence.

2. Their aspect ratio is low compared with a subsonic transport wing.

3. They stall conventionally at about fifteen degrees of incidence.

Which of the statements given above is or are correct?

Answer: C

The first two are correct. The third is false: the leading-edge vortices keep producing lift far beyond a conventional stalling angle, and what eventually limits them is vortex breakdown rather than an ordinary trailing-edge stall.

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60.

Consider the following statements about the transonic drag rise on a wing:

1. It begins at the drag-divergence Mach number, above the critical Mach number.

2. It is caused by wave drag and shock-induced separation together.

3. It can be delayed by thinning the section and sweeping the wing.

Which of the statements given above is or are correct?

Answer: D

All three are correct and between them summarise transonic wing design. The gap between the critical and drag-divergence Mach numbers is where the supersonic pocket exists but is not yet costly, and both thinning and sweep widen the usable range.

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