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SHEET NO (7) -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).
3)
6 in. Dia.
1 ft Dia.
1 ft
2 ft
4 ft/sec
4 ft/sec

A
B
C
SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
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2
4)

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.
SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
Page
3
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?
SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
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4
 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.
SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS
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I hear, and I forget
I see, and I remember
I do, and I understand

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Sheetproblems in open channel flow

  • 1. SHEET NO (7) -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). 3) 6 in. Dia. 1 ft Dia. 1 ft 2 ft 4 ft/sec 4 ft/sec  A B C
  • 2. SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS Page 2 4)  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.
  • 3. SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS Page 3 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?
  • 4. SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS Page 4  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.
  • 5. SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS Page 5
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  • 19. SHEET NO (7) -BERNOULLI’S EQUATION AND ITS APPIICATIONS Page 19 I hear, and I forget I see, and I remember I do, and I understand