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

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This document is the B.Tech SEM–III Theory Examination 2019–20 question paper for Fluid Mechanics (Sub Code: KCE303) under Dr. A.P.J. Abdul Kalam Technical University (AKTU).
The uploaded file contains two pages and follows the AKTU standard pattern of three sections — SECTION A, SECTION B, and SECTION C.
The exam carries 100 marks and the time allotted is 3 hours.

The paper tests a student’s understanding of fluid properties, flow behavior, Bernoulli’s equation, stream tube concepts, velocity fields, laminar flow, viscous effects, power transmission, pipe flow contraction, Magnus effect, flow separation, and vorticity.

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

(Shown on Page 1, table format)

This section consists of ten brief questions, each of 2 marks, covering fundamental concepts of fluid mechanics:

Definition of weight density

Defining piezometer with neat sketch

Meaning of stream tube

Understanding rate of flow

Practical applications of Bernoulli’s equation

Neat sketch of venturimeter

Definition of Stokes’ law

Distinguishing between rational and irrational flow

Explanation of Magnus effect

Meaning of flow separation

These questions check quick recall of definitions, sketches, and core fluid concepts.

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

(Page 1 bottom)

Students must attempt any 3 out of 5 long questions.
These questions are theory-based and require explanation, diagrams, or derivations.

Topics include:

Fluid properties and their classification

Continuity equation and flow behavior

Pressure measurement devices

Euler’s and Bernoulli’s equation applications

Fluid kinematics & dynamics basics

This section evaluates a student's descriptive clarity and theoretical understanding.

SECTION C — Applied & Numerical Questions (Q4, Q5, Q6)

(Appears on Page 2)

Section C contains three main questions, each with two alternatives (a or b).
Each question carries 10 marks, and the student must attempt one from each pair.

Q4 — Viscous Flow / Velocity & Acceleration Field

(Page 2)

(a) Write examples of viscous flow and explain characteristics of laminar flow.

(b) For the 3D velocity field:

u=yz+t, v=xz−t, w=xyu = y z + t,\; v = x z - t,\; w = x yu=yz+t,v=xz−t,w=xy

Find the velocity and acceleration at point (1, 2, 3) after 1 sec.

Q5 — Pipe Contraction & Pressure Loss / Power Transmission Through Pipes

(Page 2)

(a) A pipe of 450 mm diameter contracts suddenly to 200 mm.
Given:

Pressure in large pipe = 13.734 N/cm²

Pressure in small pipe = 11.774 N/cm²

Coefficient of contraction = 0.62
Determine:

Rate of flow

Head loss due to contraction

(b) Derive expression for power transmission through pipes and conditions for maximum power and efficiency of transmission.

Q6 — Velocity Distribution / Free Vortex Flow

(Page 2)

(a) If velocity distribution in laminar flat-plate boundary layer is given by a second-order polynomial, develop the equation using boundary conditions.

(b) Show that in free vortex flow, the liquid level at the ends equals the total liquid level at the axis of rotation.

OVERALL SUMMARY OF THE DOCUMENT

The Fluid Mechanics (KCE303) exam paper thoroughly evaluates:

Basic fluid properties: weight density, viscosity, velocity, pressure

Flow visualization concepts: streamlines, stream tubes, separation

Bernoulli’s equation & applications (venturimeter, flow measurement)

Laminar vs turbulent flow

Viscous effects & Stokes' law

Rational vs irrational flow

Magnus effect

Pipe contraction losses & discharge

Velocity field calculation (3D flow)