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Incompressible Flow over Airfoils Questions and Answers

Answer: A

For a symmetric section the zero-lift angle is itself zero, so the slope of two pi per radian applies directly to the geometric angle. Expressed per degree this is about 0.11, and real sections come close to it until viscous effects intervene near the stall.

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Answer: B

Potential flow admits infinitely many circulations around a given shape, and all but one give an infinite velocity round the sharp trailing edge. Requiring smooth departure there picks the value nature adopts and so fixes the lift.

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Answer: C

Kelvin's circulation theorem states that the circulation around a material contour enclosing the whole field cannot change, so the bound circulation that produces lift must be matched by an equal and opposite vortex left behind in the fluid.

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Answer: D

The first digit gives maximum camber as a percentage of chord, the second its position in tenths of chord, and the last two the thickness as a percentage. So 2412 has two per cent camber at four tenths chord and is twelve per cent thick.

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Answer: A

The last pair always gives thickness as a percentage of chord, so this section is twelve per cent thick. A NACA 0012 has the same thickness with no camber at all, which is why it is the standard symmetric test section.

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Answer: B

Leading zeros mean no camber and no camber position, so the section is symmetric, and the final pair gives the thickness. Thin symmetric sections of this kind are common on tailplanes and fins, which must work equally in both directions.

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Answer: C

Thin airfoil theory is inviscid, so it gives no drag whatever, which is d'Alembert's paradox in another form. The other three results are exactly what the theory does provide, and all three agree well with measurement at low incidence.

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Answer: D

Roughness at the leading edge trips the flow and promotes early separation, cutting the maximum coefficient, which is why icing and insect contamination matter so much. The other three are all recognised high-lift measures.

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9.

Assertion (A): A symmetric airfoil produces no lift at zero angle of attack.

Reason (R): A symmetric airfoil has its mean camber line coincident with the chord line.

Select the correct answer from the options below.

Answer: A

Both statements are true and the reason is the explanation: with the mean line on the chord the upper and lower surfaces are mirror images, the pressure distributions cancel, and no lift results. Introducing camber breaks that symmetry and produces lift at zero incidence.

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10.

Assertion (A): The aerodynamic centre is preferred to the centre of pressure as a reference point.

Reason (R): The pitching moment about the aerodynamic centre does not vary with angle of attack.

Select the correct answer from the options below.

Answer: B

Both are true and the second explains the first. The centre of pressure moves with incidence and recedes towards infinity as lift approaches zero, whereas a fixed point carrying a constant moment is far more convenient for analysis.

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