The document contains 7 practice problems for applying Bernoulli's equation to fluid mechanics situations: 1) Determining the diameter of a jet of water flowing from a tank if the water level remains constant 2) Determining if the water level in a tank with inflows and an outflow weir is rising or falling 3) Calculating pressures and drawing hydraulic grade lines for a pipe system with and without a nozzle 4) Analyzing forces on a vertical gate from upstream water with varying depths 5) Calculating flow rates and pressures at several points in a branched pipeline system

1. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
1
Minia University
Faculty of Eng.
Civil Eng. Dept.
Second Year Civil
“CVE 215”
“Hydraulics”
1) Water flows steadily from a nozzle into a large tank as shown in the
figure. The water then flows from the tank as a jet of diameter “d”,
determine:
The value of “d” if the water level in the tank remains constant.
(Viscous effects are negligible).
0.03 m dia.
0.9 m

0.3 m
0.045 m dia.
1.2 m
d
Water flows steadily from a nozzle into a large tank as shown.
The water then flows from the tank as a jet of diameter d.
Determine the value of d if the water level in the tank remains
constant. Viscous effects are negligible.
2) At a particular instant water flows into the tank through pipes A and B,
and flows out of the tank over the rectangular weir at C. The tank width
and the weir length are 2ft. Then, for the given conditions, is water
level in the tank rising or falling?? (take Cd= 0.63).

2. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
2
3)
4)
6 in. Dia.
1 ft Dia.
1 ft
2 ft
4 ft/sec
4 ft/sec

A
B
C

3. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
3

2.1 m
3.0 m
Water
A
150 mm -dia.
Nozzle 75 mm -dia.
Calculate the pressure in the flow at A:
i- For the system shown,
ii- For the pipe without the nozzle, and
Iii- For both cases, draw to scale, the EGL and HGL.
Calculate the pressure in the flow at “A”:
 For the system shown above,
 For the pipe without the nozzle. And
 For both cases, draw the HGL and the TEL.

4. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
4
5)
6)
In sketch (a) the “cylinder gate” is closed. In sketch (b) the gate has been
raised 2 ft and the upstream water depth increased 2 ft. Calculate:
 The magnitude of the horizontal force components by water on gate.
 Compare the magnitude of the vertical components.
 Which of these latter will be the larger? Why?

5. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
5
 Will both resultant forces pass through the center of the gate? Why or
why not?
7)
D
C

A
B
6 in-dia
2 in-dia
12 ft
8 ft
5 ft
20 ft
in = inch
Water
Calculate the flow rate through this pipeline and the
pressure at A, B, C, and D. Sketch the HGL and EGL
showing vertical
 Calculate the flow rate through this pipeline and
 The pressure at “A” & “B” & “C” and “D”,
 Sketch the HGL and TEL.

6. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
6

7. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
7

8. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
8

9. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
9

10. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
10

11. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
11

12. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
12

13. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
13

14. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
14

15. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
15

16. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
16

17. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
17

18. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
18

19. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
19

20. SHEET NO (6) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
20
I hear, and I forget
I see, and I remember
I do, and I understand