If the velocity of flow through a wide rectangular channel is 2m⁄s and the rate of change of depth is 3×10-5m, calculate the manning’s constant of the channel if the uniform flow depth is 1m and yn=0.6m. Given: Critical depth = 0.5m.

The slope of the energy line of a wide rectangular channel is 4×10-5 and the bed slope of the channel is 1 in 1200 using manning’s equation, calculate the depth in GVF if the uniform depth of flow is 1.5m.

A

0.5m

B

0.6m

C

0.7m

D

0.8m

Calculate the rate of change of depth of a wide rectangular channel having uniform flow depth of 2m and the depth during GVF is 1.5m. Given:yc=1m, S0=1 in 1500.

A

1.4×10-4m

B

2.4×10-4m

C

3.4×10-4m

D

4.4×10-4m

Calculate hydraulic mean depth for concrete-lined channel to carry a discharge of 350 cumecs at a slope of 1 in 5000. The value of manning’s constant for the lining is 0.015. The side slopes of a channel may be taken as 1.5:1. Assume limiting velocity in the channel as 2m/sec.

A

2.20 m

B

2.40 m

C

2.60 m

D

2.80 m

According to Kennedy, the critical velocity (V₀) in meters in a channel is the mean velocity which keeps the channel free from silting or scouring. Its value is given by (where m is critical velocity ratio and D is the depth of the channel).

A

V₀ = 0.84 mD^0.64

B

V₀ = 0.55 mD^0.64

C

V₀ = 0.84 mD^0.54

D

V₀ = 0.55 mD^0.54

The value of slope of energy line of a wide rectangular channel is 3×10-4 and the bed slope of the channel is 1 in 1500 using chezy’s equation, calculate the uniform flow depth if the depth during GVF is 2m.

A

1.61m

B

2.61m

C

3.61m

D

4.61m

Determine the value of manning’s constant for a rectangular channel if Chezy’s constant is equal to 50 and the depth and widths of the channel are 4m and 7m respectively.

A

0.012

B

0.022

C

0.032

D

0.042

According to Manning's formula, the discharge through an open channel is (where M = Manning's constant)

A

$${\text{A}} \times {\text{M}} \times {{\text{m}}^{\frac{1}{2}}} \times {{\text{i}}^{\frac{2}{3}}}$$

B

$${\text{A}} \times {\text{M}} \times {{\text{m}}^{\frac{2}{3}}} \times {{\text{i}}^{\frac{1}{2}}}$$

C

$${{\text{A}}^{\frac{1}{2}}} \times {{\text{M}}^{\frac{2}{3}}} \times {\text{m}} \times {\text{i}}$$

D

$${{\text{A}}^{\frac{2}{3}}} \times {{\text{M}}^{\frac{1}{3}}} \times {\text{m}} \times {\text{i}}$$

Calculate the effective unit tractive force that causes bed load transportation if the unit tractive force produced by the flowing water is 3.20 N/m2. The Manning’s coefficient on an unrippled bed is 0.0108 and the actual observed value of Manning’s coefficient on ripped channels is 0.0222. Take the value of critical shear stress that is required to move the grain particle as 0.5 N/m2.

A

1.58 N/m2

B

0.222 N/m2

C

1.08 N/m2

D

0.58 N/m2

The dimensions of a rectangular channel is 3m×2m and the bed slope of the channel is 1 in 1000, calculate the rate of change of depth if the rate of change of specific energy is 2×10-5m. Given: n = 0.010

A

1.43×10-5m

B

2.43×10-5m

C

3.43×10-5m

D

4.43×10-5m

The hydraulic radius of an economical rectangular section is 4m, calculate the discharge through the channel if the bed slope of the channel is 1 in 1000 and manning’s co efficient is 0.015.

A

680m3⁄s

B

690m3⁄s

C

700m3⁄s

D

710 m3⁄s

If the velocity of flow through a wide rectangular channel is 2m⁄s and the rate of change of depth is 3×10-5m, calculate the manning’s constant of the channel if the uniform flow depth is 1m and yn=0.6m. Given: Critical depth = 0.5m.

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