(SEM III) THEORY EXAMINATION 2022-23 FLUID MECHANICS

This question paper evaluates the student’s understanding of Fluid Mechanics, covering fundamental concepts, mathematical formulations, and application-based problems. The paper is divided into three structured sections — A, B, and C, each designed to test different levels of learning: basic understanding, analytical ability, and problem-solving skills.

SECTION A — Short Answer Questions (20 Marks)

This section consists of 10 brief questions, each carrying 2 marks, aimed at testing conceptual clarity on topics such as:

No-slip condition

Fluid properties such as density, specific volume, and relative density

Flow descriptions like path line, streak line, laminar boundary layer

Types of flows: reversible, turbulent

Similarity requirements and dimensionless numbers

Assumptions of Euler’s equation

Students are expected to give concise definitions, differences, or basic explanations.

SECTION B — Analytical/Descriptive Questions (30 Marks)

Students must attempt any three out of five questions. Each question carries 10 marks and requires:

Application of theories such as hydrostatic variation with altitude

Solving fluid kinematics problems

Use of Bernoulli's equation in orifice/venturimeter flows

Velocity distribution in laminar flows between plates

Dimensional analysis (Buckingham π theorem) for discharge over rectangular weir

This section checks the ability to derive equations, conduct numerical calculations, and apply scientific principles.

SECTION C — Long Answer/Problem-Solving Questions (50 Marks)

This section contains five parts, and students must attempt one question from each part.
Each question carries 10 marks, covering:

Part 3 — Buoyancy & Stability

Stability conditions of floating bodies

Application to cylinders and conical bodies

Part 4 — Stream Function & Potential Function

Orthogonality proof

Derivation of stream function from velocity field

Part 5 — Unsteady Flow & Pipe Flow

Time to fill tanks with inflow and orifice outflow

Complex pipeline distribution with flow extraction

Part 6 — Vortex Flow / Laminar Flow

Force vortex liquid rise and fall proof

Laminar pipe flow velocity distribution

Part 7 — Drag & Dimensional Analysis / Manning’s Formula

Derivation of drag coefficient from Stokes law

Model-prototype similarity for open channel flow

These questions assess deep conceptual understanding, mathematical derivations, and engineering problem-solving capability.

Overall Purpose of the Paper

This exam is designed to:

Assess foundational knowledge of fluid properties and classifications

Check understanding of flow kinematics, dynamics, and measurement techniques

Test abilities in solving numerical and theoretical engineering problems

Evaluate understanding of fluid-structure interactions, pipe flow, and model laws.