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Normal and Oblique Shock Waves Questions and Answers

51.

Assertion (A): A shock wave is an isentropic process.

Reason (R): No heat is transferred to or from the gas as it crosses the shock.

Select the correct answer from the options below.

Answer: C

The assertion is false and the reason is true. Adiabatic and isentropic are not the same thing: a shock transfers no heat, but the steep internal gradients dissipate energy and raise entropy. That is exactly why the isentropic relations may be used on either side of a shock but never through it.

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52.

Assertion (A): Regular reflection of an oblique shock from a wall fails at high incident shock angles.

Reason (R): The reflected shock has to turn a stream already slowed by the incident shock.

Select the correct answer from the options below.

Answer: D

Both statements are true and the second explains the first. The slower downstream flow has a smaller maximum deflection available, and if the turning needed to restore flow tangency exceeds it, no regular reflection exists. A Mach reflection with a normal shock stem on the wall forms instead.

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53.

Assertion (A): An oblique shock at a given upstream Mach number destroys less stagnation pressure than a normal shock does.

Reason (R): Only the velocity component normal to an oblique shock is processed by it.

Select the correct answer from the options below.

Answer: A

Both are true and the second is the reason for the first. The effective Mach number governing the shock is the normal component, which is smaller than the full Mach number, so the shock is weaker and the entropy rise correspondingly less. Intake designers exploit exactly this.

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54.

Consider the following statements about a normal shock wave:

1. The upstream flow is supersonic and the downstream flow subsonic.

2. Static pressure, temperature and density all rise across it.

3. Stagnation pressure rises across it.

Which of the statements given above is or are correct?

Answer: B

The first two are correct. The third inverts the truth: entropy rises across a shock, so stagnation pressure must fall, and at Mach 2 it falls by nearly twenty-eight per cent. Only the stagnation temperature comes through unchanged, the shock being adiabatic.

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55.

Consider the following statements about an oblique shock wave:

1. The velocity component tangential to the shock is unchanged.

2. The component normal to the shock behaves as it would through a normal shock.

3. The flow is deflected away from the shock surface.

Which of the statements given above is or are correct?

Answer: C

The first two are correct and together reduce the oblique shock to a normal shock problem. The third is the wrong way round: the normal component falls while the tangential survives, so the resultant lies closer to the shock and the flow is turned into it, as it must be at a compression corner.

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56.

Consider the following statements about the theta-beta-Mach relation:

1. For deflections below the maximum it gives two solutions.

2. The weak solution is the one usually observed.

3. The strong solution always leaves the flow supersonic.

Which of the statements given above is or are correct?

Answer: D

The first two are correct. The third reverses the position: it is the weak solution that usually leaves the flow supersonic, while the strong solution takes it subsonic. The strong branch appears only when a downstream back pressure forces it.

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57.

Consider the following statements about a detached bow shock:

1. It forms when the required deflection exceeds the maximum for the free-stream Mach number.

2. It is effectively a normal shock at the stagnation streamline.

3. It becomes stronger with increasing distance from the body.

Which of the statements given above is or are correct?

Answer: A

The first two are correct and describe why a blunt body must carry a detached shock and what the flow is like just ahead of the nose. The third is the wrong way round: the bow shock weakens with distance from the body, decaying eventually into a Mach wave far out to the sides.

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58.

Consider the following statements about the limits of normal shock behaviour in air:

1. The density ratio approaches six as the upstream Mach number grows without bound.

2. The downstream Mach number approaches about 0.378 in the same limit.

3. The static pressure ratio approaches a finite limit of about 45.

Which of the statements given above is or are correct?

Answer: B

The first two are the correct limiting values for a specific heat ratio of 1.4. The third is false: the pressure ratio grows without bound as the shock strengthens, and so does the temperature ratio. Only the density ratio and the downstream Mach number saturate.

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59.

Consider the following statements about shock reflection from a plane wall:

1. The reflected wave restores the flow to a direction parallel to the wall.

2. The reflected shock is not at the same angle as the incident shock.

3. The reflected wave is an expansion fan rather than a shock.

Which of the statements given above is or are correct?

Answer: C

The first two are correct: flow tangency forces the reflection, and the angles differ because the reflected shock acts on a slower stream. The third is wrong; a compression must be cancelled by another compression, so the reflected wave is a shock, not a fan.

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60.

Consider the following statements about supersonic intake design:

1. Several weak oblique shocks recover more stagnation pressure than one strong normal shock.

2. Stagnation temperature is unaffected by the shock system.

3. The shock system can be arranged to produce no entropy rise at all.

Which of the statements given above is or are correct?

Answer: D

The first two are correct and are the basis of external-compression intakes. The third is impossible: any shock of finite strength raises entropy, so the loss can be minimised but never eliminated. Only a vanishingly weak wave is isentropic.

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