Question

With respect to fluid flow, match the following in Column X with Column Y: 

Which one of the following combinations is correct?

• A. (P) – (II), (Q) – (IV), (R) – (I), (S) – (III)
• B. (P) – (III), (Q) – (IV), (R) – (I), (S) – (II)
• C. (P) – (IV), (Q) – (II), (R) – (I), (S) – (III)
• D. (P) – (II), (Q) – (IV), (R) – (III), (S) – (I)

Hint:

In fluid dynamics, each dimensionless number provides insight into a specific aspect of the flow, such as viscosity (Reynolds number), gravity (Froude number), compressibility (Mach number), and pressure (Euler number).

Answer 1

The Correct Option is A

We need to match the terms in Column X with the corresponding dimensionless numbers in Column Y based on their definitions in fluid mechanics.

Step 1: Analyze Viscosity (P)
Viscosity is related to the Reynolds number (II), which is a measure of the relative importance of inertial forces to viscous forces in fluid flow.

Step 2: Analyze Gravity (Q)
Gravity influences the Froude number (IV), which is a measure of the relative importance of inertial forces to gravitational forces in open channel flows.

Step 3: Analyze Compressibility (R)
Compressibility is related to the Mach number (I), which measures the ratio of flow velocity to the speed of sound in the fluid.

Step 4: Analyze Pressure (S)
Pressure is related to the Euler number (III), which is a dimensionless number used to describe the balance between pressure forces and inertial forces.

Final Answer: (A) (P) – (II), (Q) – (IV), (R) – (I), (S) – (III)