Fluid Mechanics Questions and Answers – Gradually Varied Flow(GVF) – 1

This set of Fluid Mechanics Multiple Choice Questions & Answers (MCQs) focuses on “Gradually Varied Flow(GVF) – 1”.

1. Which of the following assumptions about a GVF is false?
a) Channel is prismatic
b) Pressure distribution is hydrostatic
c) Flow characteristics change with time
d) Roughness co efficient is constant
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2. Calculate the total discharge though a rectangular channel having depth 2m and width 4m if the value of C = 50 and if the slope of the energy line is 0.00004.
a) 1.53 m³/s
b) 2.53 m³/s
c) 3.53 m³/s
d) 4.53 m³/s
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Answer: b
Explanation:

3. Calculate S_f for a triangular channel if the depth of the channel is 5m and the side slope is 1H:2V. Given: Q = 5.80 m³/s , C = 40.
a) 0.00010
b) 0.00011
c) 0.00012
d) 0.00013
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Answer: c
Explanation:

4. Calculate the discharge through a trapezoidal channel section if the depth of the channel is 3m and the base width is 3m. Given: C = 30, S_f = 0.0005, A = 12m².
a) 6.10 m³/s
b) 7.10 m³/s
c) 8.10 m³/s
d) 9.10 m³/s
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Answer: d
Explanation:

5. The discharge through a circular channel section having diameter 4m which is running half is 4.35 m³/s and the value of slope of energy line is S_f = 0.0003, calculate the value of C.
a) 50
b) 45
c) 40
d) 35
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Answer: c
Explanation:

6. Determine the dynamic equation for the rate of change of depth having bed slope S₀ and slope of total energy line S_f.
a) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{QT}{gA^2}}\)
b) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA^2}}\)
c) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA^3}}\)
d) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-\frac{Q^2T}{gA}}\)
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Answer: c
Explanation:

7. Determine the dynamic equation for the rate of change of depth having bed slope S₀ and slope of total energy line S_f in terms of Froude’s number.
a) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-F_r^2}\)
b) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-F_r}\)
c) \(\frac{dy}{dx} = \frac{S_0-S_f}{1-\sqrt{F_r}}\)
d) \(\frac{dy}{dx} = \frac{S_0-S_f}{F_r^2}\)
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Answer: a
Explanation:

8. Estimate the rate of change of specific energy having bed slope S₀ and slope of total energy line S_f.
a) \(\frac{dE}{dx}\) = S_f – S₀
b) \(\frac{dE}{dx}\) = S_f – \(\frac{S_0}{2}\)
c) \(\frac{dE}{dx}\) = S₀ – S_f
d) \(\frac{dE}{dx} = \frac{S_f}{2}\) – S₀
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Answer: c
Explanation:

9. Calculate the rate of change of specific energy if the bed slope is 1 in 1000 and S_f = 0.00007.
a) 6.3×10^-3m
b) 7.3×10-3m
c) 8.3×10^-3m
d) 9.3×10^-3m
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Answer: d
Explanation:

10. Estimate the value of S_f if the value of bed slope is 1 in 800 and and ^dE⁄_dx = 10^-3m.
a) 0.00015
b) 0.00025
c) 0.00035
d) 0.00045
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Sanfoundry Global Education & Learning Series – Fluid Mechanics.

To practice all areas of Fluid Mechanics, here is complete set of 1000+ Multiple Choice Questions and Answers.