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Hydraulic
Nalluri And Featherstone’s Civil Engineering Hydraulics: Essential Theory with Worked Examples
159 SOLVED PROBLEMS
Question: 11.6
For the system described in Example 11.5, find the time taken for the level in Reservoir A to fall by 1.0 m. ...
Verified Answer:
Continuity equation for Reservoir A (from Equation...
Question: 11.4
If in Example 11.3 a constant inflow of 5 L/s enters the tank, determine the time for the head to fall from 20 m to 18 m. ...
Verified Answer:
dt =\frac{A_{1} db}{1 − Kb^{1∕2}} [/lat...
Question: 11.1
A circular orifice 20 mm in diameter with a discharge coefficient Cd = 0.6 is fitted to the base of a tank having a constant cross-sectional area of 1.5 m. Determine the time taken for the water level to fall from 3.0 m to 0.5 m above the orifice. ...
Verified Answer:
Since there is no inflow (
I = 0
),...
Question: 10.7
At a discharge of 10 m³/s the depth of uniform flow in a rectangular channel 3 m wide is 2.2 m. The water flows round a 90° bend of inner radius 5.0 m. Assuming no energy loss at the bend, calculate the depth of water at the inner and outer radii of the bend. ...
Verified Answer:
See Figure 10.17. Since there is no energy loss be...
Question: 10.5
A cylindrical vessel is rotated at an angular velocity of ω. Show that the surface profile of the contained liquid under equilibrium conditions is parabolic. ...
Verified Answer:
This is an example of forced vortex motion (see Fi...
Question: 10.4
Water flows round a horizontal 90° bend in a square duct of side length 200 mm, the inner radius being 300 mm. The differential head between the inner and outer sides of the bend is 200 mm of water. Determine the discharge in the duct. ...
Verified Answer:
See Figure 10.14.
\frac{db}{dr} = \frac{V^{...
Question: 10.2
A discharge of 7 m³/(s m) width flows in a rectangular channel. A vertical sluice gate situated in the channel has an opening of 1.5 m. Cc = 0.62; Cv = 0.95. Assuming that downstream conditions permit free flow under the gate, draw the streamline pattern. ...
Verified Answer:
See Figure 10.11.
y_{2} = C_{c }\times y_{0...
Question: 10.1
line source of strength 180 L/s is placed in a uniform flow of velocity 0.1 m/s. (a) Plot the streamlines above the x-axis. (b) Obtain the pressure distribution on the streamline denoted by ψ = 0. ...
Verified Answer:
(a) It is convenient to consider the uniform fl...
Question: 9.9
An estuary model is built to a horizontal scale of 1:500 and vertical scale of 1:50. Tidal oscillations of amplitude 5.5 m and a tidal period of 12.4 h are to be reproduced in the model. What are the corresponding tidal characteristics in the model? ...
Verified Answer:
The speed of propagation, or celerity, of a gravit...
Question: 9.8
(a) Explain why distorted scale models of rivers are commonly used. (b) A river model is constructed to a vertical scale of 1:50 and a horizontal scale of 1:200. The model is to be used to investigate a flood alleviation scheme. At the design flood of 450 m³/s, the average width and depth of flow ...
Verified Answer:
(a) The size of a river model is determined by ...
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