Tuesday, August 10, 2021

Compute the discharge of a river from the data given in table below. The current meter coefficients are; a = 0.04 and b = 0.76.

 

Compute the discharge of a river from the data given in table below. The current meter coefficients are; a = 0.04 and b = 0.76.

 

Distance from bank (ft)

Depth (ft)

Meter Depth (ft)

Revolutions

Time (sec)

2

1

0.6

10

30

4

1.5

0.9

22

30

6

4

0.8

35

30

 

 

3.2

28

30

8

3

0.6

45

30

 

 

2.4

28

30

10

2

1.2

33

30

12

1

0.6

22

30

 

Solution#2

As we have

  V = a + bNs

Average width

W =(2+4-2/2)2 /2×2


(W = 2.25 ft

 

For rest of segments

W1 (2÷2 + 2÷2)

(W1 = 2 ft

 

For depth less than 2ft, velocity is measured at 60% of depth, hence it is the average velocity. For depth more than 2ft, velocity is measured at 20% and 80% of depth,


 

Distance from bank (ft)

Average width

Depth (ft)

Revolutions

Time (sec)

Ns

Rev/sec

Velocity

a=bN

 

Area

 

discharge

 

 

 

 

2

2.25

1

10

30

0.33333

0.29333

2.25

0.645326

 

 

 

 

4

2

1.5

22

30

0.73333

0.59735

3

1.79193

 

 

 

 

6

2

4

35

30

1.16666

0.926616

8

7.413328

 

 

 

 

 

2

 

28

30

0.93333

0.74933

0

0

 

 

 

 

8

2

3

45

30

1.526

1.182

6

7.08

 

 

 

 

 

2

 

28

30

0.93333

0.74933

0

0

 

 

 

 

10

2

2

33

30

1.112

0.876

4

3.504

 

 

 

 

12

2.25

1

22

30

0.73333

0.59733

2.25

1.34399

 

 

 

 

                                                                                                                                         TOTAL= 21.778544

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