GATE CE 2022 Set 1 — Question 19
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Water Resources Engineering → Dimensional Analysis & Similitude → Dimensionless Numbers
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Question
With respect to fluid flow, match the following in Column X with Column Y:
Which one of the following combinations is correct?
| Column X | Column Y |
|---|---|
| (P) Viscosity | (I) Mach number |
| (Q) Gravity | (II) Reynolds number |
| (R) Compressibility | (III) Euler number |
| (S) Pressure | (IV) Froude number |
Correct answer
(A) (P) – (II), (Q) – (IV), (R) – (I), (S) – (III)
Solution
The dimensionless numbers are defined based on the ratio of forces:
1.Reynolds number (): Ratio of inertia force to viscous force. Thus, Viscosity (P) matches with Reynolds number (II).
2.Froude number (): Ratio of inertia force to gravity force. Thus, Gravity (Q) matches with Froude number (IV).
3.Mach number (): Ratio of inertia force to compressibility force. Thus, Compressibility (R) matches with Mach number (I).
4.Euler number (): Ratio of pressure force to inertia force. Thus, Pressure (S) matches with Euler number (III).
Correct combination: (P)-(II), (Q)-(IV), (R)-(I), (S)-(III).Continue learning with Success Tracker
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