Question

Match List - I with List - II.

Choose the correct answer from the options given below :

• A. A-III, B-II, C-IV, D-I
• B. A-III, B-IV, C-II, D-I
• C. A-II, B-III, C-IV, D-I
• D. A-II, B-I, C-III, D-IV

Hint:

Hagen-Poiseuille is for "Pipes" (tubes), while Hele-Shaw is for "Plates." Stokes' law is valid only for Reynolds numbers ($Re$) less than 0.1 (laminar settling).

Answer 1

The Correct Option is A

Concept: Fluid mechanics relies on fundamental laws and mathematical models that describe how fluids behave under various boundary conditions.

Step 1: Analyze the principles and their applications.

• Hele-Shaw flow (A): Refers specifically to Laminar flow between parallel plates (III) with a very small gap, often used to visualize potential flow patterns.
• Stokes' law (B): Describes the drag force on spherical objects in a viscous fluid, used to calculate the Settling of fine particles (II).
• Hagen-Poiseuille flow (C): Gives the pressure drop in an incompressible, Newtonian Laminar flow in tubes (IV) of constant cross-section.
• Pascal's law (D): States that pressure applied to a confined fluid is transmitted undiminished, implying a Surface of equal pressure (I) in a static fluid at a given depth.

Step 2: Match the results.
The correct matching is A-III, B-II, C-IV, D-I.