Determination of flow surface profile in contraction allowing no gradual hydraulic drop in perfection


Determination of flow surface profile in contraction allowing no gradual hydraulic drop in perfection. Where Q= 100cfs,  yu/s=5ft  and other details are given in fig below.

Solution:


As E is Constant.
E= y + V2/2g
E = y + Q2/A22g



So, At Upstream (u/s):
E = 5 + 1002/ (b2 × y2 ×2 × 32.2)
E = 5 + 1002/ (102 × 52 ×64.4 )
E=5.06’

At downstream (d/s):
E = yd/s + Q2/ (b2 × yd/s 2 × 2g)
5.06 = yd/s + 1002/ (82 × yd/s 2 × 64.4)
yd/s = 4.96’ &;   0 .75’



Where; Yc = 2/3 × E
         =2 × 5.06/3 
         = 3.37’


& Slope  = (10-8) / 50  = 0.04

       
Table:  Subcritical and Supercritical Depth Values For Intermediate Points
Length (L)
Breadth (b)
Depth (y)


y1
y2
(ft)
(ft)
(ft)
(ft)




5
9.8
0.602
4.995
10
9.6
0.616
4.992
15
9.4
0.63
4.989
20
9.2
0.644
4.986
25
9
0.66
4.983
30
8.8
0.676
4.979
35
8.6
0.693
4.975
40
8.4
0.711
4.971
45
8.2
0.73
4.966
50
8
0.75
4.961









Determination of flow surface profile in contraction allowing no gradual hydraulic drop in perfection Determination of flow surface profile in contraction allowing no gradual hydraulic drop in perfection Reviewed by Muhammad Najam Abbas on 6:07 AM Rating: 5

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