Holooly Plus Logo
Holooly Plus Logo

Question 10.2: Design an expanding transition for the flume–canal layout of......

Design an expanding transition for the flume–canal layout of worked example 10.1 using the Vittal and Chiranjeevi (1983) method.

Step-by-Step
The 'Blue Check Mark' means that this solution was answered by an expert.
Learn more on how do we answer questions.
Report Answer

Design discharge = 30 m ^3 s ^{-1} ; bed width of canal, B_o\,= 25 m; bed width of flume, B_f\,= 12.5 m; side slope of canal, m_o\,= 1.50; bed level of canal = 200.00 m AOD; depth of flow in canal, y_o\,= 2 m (Worked example 10.1). Length of transition, L = 2.35(25-12.5)+1.65×1.5×2 ≈36 m. Bed width in transition, B_x , with n = 0.8  –  0.26(1.5)^{1/2} = 0.482,

B_x=12.5+(12.5 x / 36)\left[1-(1-x / 36)^{0.482}\right] .

Side slope in transition,

m=1.5\left[1-(1-x / 36)^{1 / 2}\right] .

The complete set of calculations is presented in the table below:

Number Distance from upstream end of transition, x (m) y_x(m) m B_x(m) Δz  (m) Bed elevation (m AOD)
1 36 2.000 1.50 25.000 200.000
2 27 1.985 0.75 17.069 0 200.000
3 18 1.965 0.44 15.737 0.001 199.999
4 9 1.950 0.20 12.545 0.002 199.998
5 0 1.935 0 12.500 0.003 199.997

Related Answered Questions

Question: 10.7

Design a Sarda-type fall using the following data: full supply discharge = 28 m³s^-1 ; upstream FSL = 100.00 m AOD; downstream FSL =  98.50 m AOD; upstream bed level = 99.00 m AOD; downstream bed level = 97.50 m AOD; upstream bed width = 6.00 m; downstream bed width = 6.00 m; drop, Hdr = 1.50 m; ...

Verified Answer:

CREST DESIGN Adopt a rectangular crest (Fig. 10.18...
Question: 10.4

Examine the stage–discharge relationship for the culvert in Worked example 10.3 if the bedslope is 1 in 100. ...

Verified Answer:

Rising stages are as follows. 1. For the open chan...
Question: 10.3

Establish the stage (headwater level)–discharge relationship for a concrete rectangular box culvert, using the following data: width = 1.2 m; height = 0.6 m; length = 30 m; slope = 1 in 1000; Manning’s n = 0.013; square-edged entrance conditions; free jet outlet flow; range of head water level for ...

Verified Answer:

1. H/D ≤1.2. For H<0.6 m, free flow open-channe...
Question: 10.6

A road bridge of seven equal span lengths crosses a 106 m wide river. The piers are 2.5 m thick, each with semicircular noses and tails, and their length:breadth ratio is 4. The streamflow data are given as follows: discharge = 500 m³ s^-1; depth of flow downstream of the bridge = 2.50 m. Determine ...

Verified Answer:

The velocity at the downstream section, V_...
Question: 10.5

The design flood with a 20-year return period is 15 m³ s^-1. Design the culvert-type cross-drainage structure with a high embankment with the following data: culvert length = 30 m; slope = 1.5%; available pipe barrel, corrugated pipes in multiples of 250 mm diameter; Manning’s n = 0.024. The barrel ...

Verified Answer:

For full pipe flow the energy equation gives [late...
Question: 10.1

Design a siphon aqueduct for the following data: ...

Verified Answer:

DRAINAGE WATERWAY Perimeter P=4.75 Q^{1 / ...