Discussion
Match each quantity in List I with its behaviour through an expansion fan in List II.
List I
A. Mach number
B. Static pressure
C. Stagnation pressure
D. Entropy
List II
1. Falls
2. Rises
3. Unchanged
4. Unchanged, to an excellent approximation
Select the correct match.
Answer: B
An expansion is the mirror image of a shock in the static quantities: the Mach number rises while pressure, temperature and density all fall. The difference lies in the stagnation properties and the entropy, both of which survive because every wave in the fan is vanishingly weak.
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