(SEM-III) THEORY EXAMINATION 2019-20 FLUID MECHANICS & FLUID MACHINES

This document is the B.Tech SEM–III Theory Examination 2019–20 question paper for Fluid Mechanics & Fluid Machines (KME302) under Dr. A.P.J. Abdul Kalam Technical University (AKTU).
The uploaded file contains two pages, printed clearly with diagrams and numerical problems.
The paper is divided into three sections — SECTION A, SECTION B, and SECTION C.
The exam duration is 3 hours, and the total marks are 100.

The questions evaluate students’ understanding of fluid properties, pressure, Bernoulli’s theorem, surface tension, Euler number, drag/lift forces, pumps, pitot tube, velocity field, Buckingham π-theorem, viscous flow, continuity, and pipe-flow calculations.

SECTION A — Short Questions (10 × 2 = 20 Marks)

Section A contains ten 2-mark questions, each focused on fundamentals of fluid mechanics and fluid properties:

Specific weight, mass density, specific volume & specific gravity of petrol (based on 2-liter weight data)

Surface tension of soap bubble (diameter 40 mm) with given internal pressure

Meaning of Euler’s number

Bernoulli’s theorem

Water hammering

Drag & lift force on flat plate moving in air

Force exerted by a water jet on stationary plate

Difference between turbine and pump

Classification of turbines

Meaning of slip, % slip & negative slip of reciprocating pump

These questions check conceptual clarity and quick formula recall.

SECTION B — Descriptive/Numerical Questions (Attempt Any 3 × 10 = 30 Marks)

(Page 1 bottom)

Students must attempt any three out of five 10-mark questions.
Topics include:

Fluid properties, pressure forces, buoyancy

Surface tension, capillarity

Laminar & turbulent flow

Bernoulli equation applications

Hydraulic turbine basics

Pump performance

Numerical problems involving jet impact, pipe friction, and specific energy

These require detailed derivation, explanation, and calculations.

SECTION C — Applied & Numerical Questions (Q3, Q4, Q5)

(Displayed on Page 2)

Section C contains three groups (Q3, Q4, Q5).
Each group offers two alternative questions (a or b).
Students must answer one from each group.

Q3 — Pipe-Flow / Pitot Tube

(Visible clearly on Page 2)

(a) A 30 cm diameter pipe splits into two pipes (20 cm & 15 cm).
Given the velocity in main pipe is 2.5 m/s, find:

Discharge in the main pipe

Velocity in the 15 cm pipe

Velocity in 20 cm pipe when the 20 cm pipe velocity is 2 m/s

(b) What is a pitot tube?
How to determine velocity at any point using it?

Q4 — Circulation / Buckingham π-Theorem

(Page 2)

(a) For velocity field:

• u=x+y,v=x3−yu = x + y,\quad v = x^3 - yu=x+y,v=x3−y

Find the circulation around closed contour: x=1,y=0,y=1,x=0x = 1, y = 0, y = 1, x = 0x=1,y=0,y=1,x=0.

(b) Pressure difference Δp in a pipe depends on velocity V, viscosity μ, and density ρ.
Using Buckingham π-theorem, derive the relationship for Δp.

Q5 — Viscous Flow / Shear Stress

(Page 2)

(a) A fluid with viscosity 0.7 Ns/m² and specific gravity 1.3 flows through a pipe of diameter 100 mm.
The maximum shear stress at pipe wall is given.
Calculate:

Pressure gradient

Average velocity

Flow rate

(b) Variations may include velocity distribution, Hagen–Poiseuille flow, energy correction factors, etc.

OVERALL SUMMARY OF THE DOCUMENT

The Fluid Mechanics & Fluid Machines (KME302) question paper examines:

Fluid properties (density, viscosity, specific gravity)

Surface tension & pressure inside bubbles

Bernoulli’s theorem & Euler number

Drag & lift on flat plate

Jet impact on plates

Pumps (slip, negative slip, classification)

Turbines

Pipe-flow discharge & continuity

Pitot tube velocity measurement

Velocity fields & circulation

Buckingham π-theorem (dimensional analysis)

Viscous flow through pipes

Shear stress, pressure gradient & average velocity

The uploaded paper spans 2 pages, includes clear numericals, table-based questions, and applications of continuity, momentum, and viscosity equations.