Flow Over a Triangular Hump Weir (Specific Energy)

Report
Flow Over a Triangular Hump
Weir
(Specific Energy)
Total Energy Head
• With the channel bed horizontal, the total
energy head is given by
H  E h

q2 
h
  y 
2 
2 gy 

q
Q
where w is the width of the channel
w
Critical Depth, yc
yc  3
q2
g
Level Channel
Level Channel
Depth Measurement Locations
Water Surface Profile
Flow Depth, y at Various Locations
Laboratory Data
Test No.
Volume
Time to collect
volume of fluid
Flow rate
Specific flow rate
Point
1
Channel
width
30Liters
50mm
34sec
0.00088235m3/sec
0.01764706(m3/sec)/m
Distance
from Center
Surface
Height of
Profile (y + h) Hump h Depth y
Col. A
(Upstream) (Downstream)
(mm)
(mm)
(m)
1
200
2
100
3
75
4
50
5
25
6
0
7
25
8
50
9
75
10
100
11
125
12
225
(m)
0.09
0.089
0.089
0.088
0.085
0.08
0.07
0.055
0.042
0.03
0.021
0.018
Specific
Energy, E
(y +
q2/{2gy2}) E = 1.5y
Col. B
Col. C
(m)
(m)
0
0.09
0
0.089
0.0125
0.0765
0.025
0.063
0.0375
0.0475
0.05
0.03
0.04
0.03
0.03
0.025
0.02
0.022
0.01
0.02
0
0.021
0
0.018
(m)
0.092
0.091
0.079
0.067
0.055
0.048
0.048
0.050
0.055
0.060
0.057
0.067
E=y
Col. D
(m)
0.135
0.134
0.115
0.095
0.071
0.045
0.045
0.038
0.033
0.030
0.032
0.027
0.090
0.089
0.077
0.063
0.048
0.030
0.030
0.025
0.022
0.020
0.021
0.018
Test No.
Volume
Time to collect
volume of fluid
Flow rate
Specific flow rate
Point
1
Channel
width
30Liters
50mm
34sec
0.00088235m3/sec
0.01764706(m3/sec)/m
Distance
from Center
Surface Profile Height of
(y + h)
Hump h Depth y
Col. A
(Upstream) (Downstream)
(mm)
(mm)
(m)
1
200
2
100
3
75
4
50
5
25
6
0
7
25
8
50
9
75
10
100
11
125
12
225
(m)
(m)
0.09
0
0.089
0
0.089
0.0125
0.088
0.025
0.085
0.0375
0.08
0.05
0.07
0.04
0.055
0.03
0.042
0.02
0.03
0.01
0.021
0
0.018
0
0.09
0.089
0.0765
0.063
0.0475
0.03
0.03
0.025
0.022
0.02
0.021
0.018
Specific
Energy, E
(y +
q2/{2gy2}) E = 1.5y
Col. B
Col. C
E=y
Col. D
(m)
(m)
(m)
0.092
0.091
0.079
0.067
0.055
0.048
0.048
0.050
0.055
0.060
0.057
0.067
0.135
0.134
0.115
0.095
0.071
0.045
0.045
0.038
0.033
0.030
0.032
0.027
0.090
0.089
0.077
0.063
0.048
0.030
0.030
0.025
0.022
0.020
0.021
0.018
Plot of Results
Plot of Depth, y Vs. Specific Energy, E (Trial1)
0.1
0.09
0.08
Depth, y (m)
0.07
0.06
0.05
E=1.5y
E=y
0.04
E=y+q^2/(2gy^2)
0.03
0.02
0.01
0
0.000
0.020
0.040
0.060
0.080
0.100
Specific Energy, E (m)
0.120
0.140
0.160

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