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GATE 2022 CE (CE1) – Question 19

Hydraulics · Dimensional analysis and hydraulic similitude · 1 mark · Multiple choice

With respect to fluid flow, match Column X with Column Y.

Column XColumn Y
P: ViscosityI: Mach number
Q: GravityII: Reynolds number
R: CompressibilityIII: Euler number
S: PressureIV: Froude number

Which combination is correct?

  1. (P) – (II), (Q) – (IV), (R) – (I), (S) – (III)
  2. (P) – (III), (Q) – (IV), (R) – (I), (S) – (II)
  3. (P) – (IV), (Q) – (II), (R) – (I), (S) – (III)
  4. (P) – (II), (Q) – (IV), (R) – (III), (S) – (I)

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Correct answer: (A) (P) – (II), (Q) – (IV), (R) – (I), (S) – (III)

Explanation

Check the force effects separately: **viscosity → Reynolds number** (inertia/viscous force), **gravity → Froude number**, **compressibility → Mach number**, and **pressure → Euler number**.

The resulting match is **P–II, Q–IV, R–I, S–III**, **A**.