Indira Gandhi National Open University (IGNOU) 2006 B.Tech Water Resource Engineering ET - 533B Open Channel Flow - - Question Paper
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B.Tech. Civil (Water Resources Engineering) Term-End Examination December, 2006 ET-533(B) : OPEN CHANNEL FLOW
Maximum Marks : 70
Time : 3 hours
Note : Solve any five questions. All questions carry equal marks. Give neat and labelled sketches in support of your answer. Use of calculator is allowed.
1. (a) A circular channel has a diameter of 1-0 m, and runs a water depth of 0-75 m. Calculate the top width (T) of the free surface of water. Hence, find the angle 0 that T makes with the centre of this pipe section; give 0 in degrees, minutes, and seconds. 7
(b) A trapezoidal section has b = 2 m, and a side slope of 1 : 2. If the depth of flow, y = 1-5 m, calculate P and Z of this section. 7
2. (a) Explain what do you understand by the uniform flow and normal depth of flow.
(b) Given a trapezoidal channel with a bottom width of
.....4-1 m, side slopes of 2 : 1, a longitudinal slope of
0*0015, and Mannings n = 0-014; Find its normal discharge if normal depth is 1-9 m. 10
3. (a) Determine the subcritical sequent depth of flow for a hydraulic jump with incoming water Froude number of 1*5 and supercritical flow depth of 1 m. 4
(b) Assuming Chezys coefficient, C, to be constant in a wide rectangular open channel with a =1, and the slope to be critical for a given Q, show that :
dy/dx = Sc> 10
4. A flow of 17-0 m3/s passes through a rectangular channel with the following parameters :
y1 = 1*8 m; b1 = 4-0 m
At a d/s section the width of the channel is reduced to 3-5 m, and the channel .bed is raised by AZ = 0-05 m.
Find out the equation for determining the depth of flow at the d/s section.
14
5, Derive the general equation for wave velocity of a rapidly
14
varied uniformly progressive flow :
-il/2
+ (v2)
V =
w
A
(A2y2 AjyjJg
Al'
2)
A,
symbols carry their usual meaning.
6. (a) With respect to a progressive wave, discuss its
formulation as boundary value problem, and state the boundary conditions. 7
(b) Discuss wave celerity, length and period relationships with reference to wave propagation in an open channel. 7
7. Write short notes on any two of the following : 2x7=14
(i) Dynamic equation of a uniformly progressive flow
(ii) Method of characteristics
(iii) Dam-break problem
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