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Day 50-Nov 11-worksheet-PWD-Fluid kinematics&dynamics,orifices

Total questions: 15

Worksheet time: 11mins

Name
Class
Date
1.

In a 2-D incompressible steady flow, which condition must always be satisfied by the stream function Ψ?

a)

2Ψx22Ψy2=0\frac{\partial^2 \Psi}{\partial x^2} - \frac{\partial^2 \Psi}{\partial y^2} = 0

b)

2Ψx2+2Ψy2=0\frac{\partial^2 \Psi}{\partial x^2} + \frac{\partial^2 \Psi}{\partial y^2} = 0

c)

Ψx=Ψy\frac{\partial \Psi}{\partial x} = \frac{\partial \Psi}{\partial y}

d)

u=Ψxu = \frac{\partial \Psi}{\partial x}

2.

The convective acceleration in fluid flow becomes zero when—

a)

Flow is unsteady

b)

Flow is rotational

c)

Flow is uniform

d)

Flow is compressible

3.

For a sharp-edged orifice, coefficient of contraction (Cc) typically lies in the range—

a)

0.95–0.99

b)

0.61–0.69

c)

0.82–0.90

d)

0.45–0.55

4.

Negative pressure at vena contracta in a mouthpiece occurs due to—

a)

Sudden enlargement

b)

Sudden contraction

c)

Increase in depth of water

d)

Viscous effects

5.

At a stagnation point in Pitot tube measurement—

a)

Pressure is minimum

b)

Velocity is zero

c)

Velocity is maximum

d)

Pressure is below atmospheric

6.

Stream function (Ψ) must satisfy Laplace equation for flow to be irrotational.

a)

True

b)

False

7.

Discharge through a large rectangular orifice depends only on coefficient of contraction.

a)

True

b)

False

8.

Assertion (A): In steady flow, local acceleration is zero everywhere. Reason (R): Local acceleration occurs only when velocity changes with time. Choose the correct option.

a)

Both A and R are true, and R explains A

b)

Both A and R are true, but R does not explain A

c)

A true, R false

d)

A false, R true

9.

Fill in the blank: The product of slopes of streamline and equipotential line is (a)   .

10.

Fill in the blank: The theoretical velocity of jet from an orifice is given by v =————

(a)  

11.

Fill in the blank: Coefficient of discharge Cd = Cv × —————

(a)  

12.

Negative pressure at vena contracta decreases the discharge through the mouthpiece.Is it true?

(a)  

13.

Fill in the blank: Uniform flow means ∂V/∂s = ____.

a)

00

b)

11

c)

1-1

d)

22

14.

Water flows at a steady velocity through a horizontal pipe with a changeable diameter.

The water velocity is 2 m/sec, and the pressure is 2.5 kPa at point A.

The pressure drops to 1.5 kPa at point B.

What is the water velocity at point B?

(a)  

15.

A sharp-edged circular orifice of diameter 50 mm is provided on a tank wall where the water head is 2.4 m above the centre. If Cd = 0.62, what is the theoretical jet velocity?

(a)