Spillway and Necessity of Spillways - civilengineer friend

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Friday, 28 May 2021

Spillway and Necessity of Spillways

Spillway:

The spillways are openings provided at the body of the dam to discharge safely the excess water or flood water when the water level rises above the normal pool level.

Necessity of Spillways

(a) The height of the dam is always fixed according to the maximum reservoir capacity. The normal pool level indicates the maximum capacity of the reservoir. The water is never stored in the reservoir above this level. The dam may fail by overturning so, for the safety of the dam the spillways are essential.

(b) The top of the dam is generally utilized by making roads. The surplus water is not be allowed to overtop the dam, so to stop the overtopping by the surplus water, the spillways become extremely essential.

(c) To protect the downstream base and floor of the dam from the effect of scouring and erosion, the spillways are provided so that the excess water flows smoothly. Location of Spillway Generally, the spillways are provided at the following places

o Spillways may be provided within the body of the dam.

o Spillways may sometimes be provided at one side or both sides of the dam.

o Sometimes by-pass spillway is provided which is completely separate from the dam.

Determination of discharge capacity and number of spillways The maximum discharge capacity and the number of spillways are determined by studying the

following factors:

(a) By studying the flood hydrograph of the past ten years, the maximum flood discharge may be computed which is to be disposed of completely through the spillways.

(b) The water level in the reservoir should never be allowed to rise above the maximum pool level and should remain at the normal pool level. So, the volume of water collected between maximum pool level and minimum pool level computed, which indicates the discharge capacity of spillways.

(c) The maximum flood discharge may also be computed from other investigations like rainfall records, flood routing, empirical flood discharge formulae, etc.

(d) From the above factors the highest flood discharge is ascertained to fix the discharge capacity of spillways.

(e) The natural calamities are beyond the grip of human beings. So, an allowance of about 25 % should be given to the computed highest flood discharge which is to be disposed of.

(f) The size and number of spillways are designed according to the design discharge.

Types of Spillways

(a) Drop Spillways

(b) Ogee Spillway

(c) Siphon Spillway

(d) Chute or Trough Spillway

(e) Shaft Spillway

(f) Side Channel Spillway

(a) Drop Spillway

In the drop spillway, the overflowing waterfalls freely and almost vertically on the downstream side of the hydraulic structure. This type of spillway is suitable for weirs or low dams. The crest of the spillway is provided with a nose so that the water jet may not strike the downstream base of the structure. To protect the structure from the effect of scouring horizontal impervious apron should be provided on the downstream side. Sometimes a basin is constructed on the downstream side to form a small artificial pool which is known as a water cushion. This cushion serves the purpose of energy dissipating.

Drop Spillway
Drop Spillway

(b) Ogee Spillways

The ogee spillway is a modified form of drop spillway. Here, the downstream profile of the spillway is made to coincide with the shape of the lower nappe of the free-falling waterjet from a sharp-crested weir. In this case, the shape of the lower nappe is similar to a projectile and hence the downstream surface of the ogee spillway will follow the parabolic path where “0” is the origin of the parabola. The downstream face of the spillway forms a concave curve from a point “T” and meets with the downstream floor. This point “T” is known as point of tangency. Thus the spillway takes the shape of the letter “S” (i.e. elongated form). Hence, this spillway is termed as ogee spillway.

Ogee Spillways
Ogee Spillways

The shape of the lower nappe is not same for all the head of water above the crest of the weir. It differs
with the head of water. But for the design of the ogee spillway the maximum head is considered. If the
spillway runs with the maximum head, then the overflowing water just follows the curved profile of the
spillway and there is no gap between the water and the spillway surface and the discharge is maximum.
When the actual head becomes more than the designed head, the lower nappe does not follow the ogee
profile and gets separated from the spillway surface. Thus a negative pressure develops at the point of
separation. Due to the negative pressure, air bubbles are formed within the flowing water. These air bubbles
air responsible for the frictional force (i.e. abrasion) which causes much damage to the spillway surface.
Again, if the head of water is less than the designed head, the waterjet adheres to the body of the spillway
and creases positive pressure which reduces the discharge through the spillway.
The shape of the ogee spillway has been developed by U.S Army Corps Engineers which is known as
“Water-way experimental station spillway shape”. The equation given by them is, Xn = K×Hn–1×Y, where, x
and y are the coordinates of a point P on the ogee profile taking O as origin. K and n are the constants
according to the slope of the upstream face of the spillway (figure below).
The value of K and n are given as follow:
The value of K and n are given as follow
The value of K and n are given as follow
Thus for different values of y, the values of x are determined considering the slope of u/s face. The
value of r1, r2, a and b are also calculated. The results are tabulated for the constructional guidance.
Problem-1
Design and sketch the shape of an Ogee type spillway for the following data using the empirical equation
developed by US Army Corps Engineers,
Upstream Head, H = 20 m
Shape of the upstream face = 1: 1½ (H:V) Values
of K and n are 1.939 and 1.81 respectively

Solution:
r1 = 0.5H = 0.5×20 = 10 m
r2 = 0.21H = 0.21×20 = 4.2 4.5 m                                            X (m)  Y (m)
a = 0.139H = 0.139×20 = 2.78 3 m                                           5         0.84
b = 0.237H = 0.237×20 = 4.74 5m                                            10       2.94
                                                                                                   15       6.13
We know, Xn = K×Hn–1×Y                                                      20      10.31
X 1.81 = Y×1.939×(20) 1.81 – 1                                               25      15.44                
X1.81 = Y×21.95
Y = 0.159 m
From the different values of X, the values of Y are found which is given below in a tabulated form:
Finally the shape of the Ogee type of spillway
Finally the shape of Ogee type of spillway
Finally the shape of Ogee type of spillway

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