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Day 30-Oct 18-worksheet-Diploma-Kinematics part 2

Total questions: 15

Worksheet time: 10mins

Name
Class
Date
1.

If all components of angular velocity are zero, the nature of flow is —

a)

Steady flow

b)

Compressible flow

c)

Irrotational flow

d)

Rotational flow

2.

Match

a)

Vorticity

1.

Flow rotationality measure

b)

Stream function

2.

Constant on streamline

c)

Velocity potential

3.

Based on laplace equation

3.

The equipotential lines in a potential flow are —

a)

Tangent to streamlines

b)

Orthogonal to streamlines

c)

Parallel to streamlines

d)

Coincident with streamlines

4.

The normal acceleration in a fluid particle is caused due to —

a)

Change in magnitude of velocity

b)

Change in direction of velocity

c)

Change in vorticity

d)

Curl of velocity potential

5.

Velocity potential function exists for both rotational and irrotational flows.

a)

True

b)

False

6.

In an irrotational flow, the circulation around any closed path is zero.

a)

True

b)

False

7.

Stream function exists only for 2-D compressible flow.

a)

True

b)

False

8.

The velocity potential function (Φ) must satisfy (a)   equation for possible incompressible irrotational flow.

9.

Along a streamline, the value of stream function (ψ)

a)

is constant

b)

Varies

10.

The difference in values of stream function between two streamlines gives (a)   per unit width.

11.

In a flow net, streamlines and equipotential lines intersect at (a)   degrees.

12.

The tangential acceleration of a fluid particle is due to change in (a)  

13.

  1. Find discharge from stream function difference
    Given: ψ1 = 0.40 m²/s, ψ2 = 0.10 m²/s; channel width B = 2 m.



(a)  

14.

Find normal (centripetal) acceleration on a curved path
Given: speed V = 4 m/s, radius R = 2 m.

(a)  

15.

The velocity components of a two-dimensional flow field are given by

u = 5y and v = –5x (m/s), where x and y are in metres.

Find:

1️⃣ Vorticity component ωz

2️⃣ Type of flow (Rotational or Irrotational).

(a)