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ET533B Open Channel Flow June 2007
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Time: 3 hours
Maximum Marks: 70
Note: Solve any five questions. All questions carry equal marks. Give neat and labelled sketches in support of your answer. Use of calculator is permitted.
1. (a) A triangular section with side slope z= 1.5 runs water at a depth of 3.5 m. Calculate its hydraulic radius (R), and top width (T). (5)
(b) Distinguish between hydraulic radius and hydraulic depth of an open channel.
(c) If a triangular section has a section factor (z) = 9.2 in metric units, find the depth of flow in it if z=2. 5
2. (a) Explain what you understand by specific energy; and give a typical specific-energy curve for a given discharge in an open channel. 6
(b) A rectangular channel expands smoothly from a widtn of 2 m to 3.5 m. If u/s of the expansion has a depth of flow as 0.75 m, and the velocity of flow is 2.3 m/s, derive the equation in terms of y (d/s flow depth) to help estimate the depth of flow after the expansion. (There is no change in the elevation of the channel bed). Indicate how you will solve this equation; and which value of y would you adopt out of the values that form the solution of the equation. 8
3. (a) Explain how bed slopes are categorised as hoiizontal, mild, critical, and steep 4
(b) Derive, from first principles, an expression for the hydraulic exponent for a uniform-flow computation in terms of flow depth, flow area, top flow width, hydraulic radius, and (dP)/dy. 7
(c) If the hydraulic exponent computation M=3.1.2, and hydraulic exponent for uniform flow computation, N=3.71, find the value of J.
4. (a) Discuss, in brief, the design of channel contradictions and expansions at transitions. 5
(b) A venturi flume is 1.5 m wide at its entrance, and 0.5 m at its throat. Neglecting hydraulic losses in the flume, determine the flow through the flume, if the depth of flow at these sections is 0.6 m and 0.55 m, respectively. 9
5. Show that for negative surges, in an open channel: Vw=3root(gy)-V2 - 2root(gy2), symbols denoting their usual meaning. (14)
6. Starting from velocity potential φ, discuss mathematically the particle velocity and orbital motion with respect to a wave in an open channel. (14)
7. Write short notes on any two of the following : 2x7
(i) Velocity distribution in open channels with triangular, trapezoidal, horrow rectangular and circular cross-sectional shapes
(ii) Wave action on dams
(iii) Wave action on structures standing on shores
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