Example 10.8 Hydraulic JumpWater on the horizontal apron of the 30 m -wide spillway shown inFig. E10.8a has a depth of 0.2 m and a velocity of 6 m/s . Determinethe depth, y,, after the jump, the Froude numbers before and afterthe jump, Fr, and Fr,, and head loss (ht)due to jumpb= width = 30 mSpillway apronQi=Q2:V1FriV2Fr2 :VgyiV1 = 6 m/sgy2Y1 = 0.2 mDownstreamУ2-1+ y1+8F2hi -1- Y2FiУ1У1У1У1У2

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Asked Dec 7, 2019
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Example 10.8 Hydraulic Jump
Water on the horizontal apron of the 30 m -wide spillway shown in
Fig. E10.8a has a depth of 0.2 m and a velocity of 6 m/s . Determine
the depth, y,, after the jump, the Froude numbers before and after
the jump, Fr, and Fr,, and head loss (ht)due to jump
b= width = 30 m
Spillway apron
Qi=Q2:
V1
Fri
V2
Fr2 :
Vgyi
V1 = 6 m/s
gy2
Y1 = 0.2 m
Downstream
У2
-1+ y1+8F
2
hi -1- Y2
Fi
У1
У1
У1
У1
У2
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Example 10.8 Hydraulic Jump Water on the horizontal apron of the 30 m -wide spillway shown in Fig. E10.8a has a depth of 0.2 m and a velocity of 6 m/s . Determine the depth, y,, after the jump, the Froude numbers before and after the jump, Fr, and Fr,, and head loss (ht)due to jump b= width = 30 m Spillway apron Qi=Q2: V1 Fri V2 Fr2 : Vgyi V1 = 6 m/s gy2 Y1 = 0.2 m Downstream У2 -1+ y1+8F 2 hi -1- Y2 Fi У1 У1 У1 У1 У2

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Expert Answer

Step 1

Given:

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width of spillway = 30m depth = y,= 0.2m velocity = v, = 6m/s

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Step 2

Froude number is 4.283.

The value of depth is 1.115m.

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V1 Fr gy: V9.81x 0.2 = 4.283 y2 -1x 1+8Fr; У1 -1x /1+8Fr? y2 -1x /1+8(4.283) y2 =1.115m

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Step 3

Since,

Q1=Q2(gi...

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Q = Q, 4,v, = A,V, = W, x y, ×V; = w× y, ×V, = 30x 0.2×6 = 30×1.115×v, 0.2x6 1.115 v, =1.0762m / s

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