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Hydraulics Prof. B.S. Thandaveswara Indian Institute of Technology Madras 32.6 Slotted Bucket Stilling Basin Bradley and peterka in 1959 developed the slotted bucket stilling basin (Fig. 32.10) with an 8 sloping apron on which teeth of 45 are installed. The teeth introduces stable flow and little boiling action. Three types of flow may be distinguished Sweep out with a too low tailwater level Minimum tailwater level below which excessive surface waves and scour occur and Maximum tailwater above which dividing flow results and the maximum tailwater level above which dividing results. A slotted bucket basin has a lower and an upper limit of operation. These depends on the approach Froude number ( ) 1 1 12 1 = / V F gy and the relative bucket radius 2 br 1 1 R 1 05 = + b R .F y in which 1 V is the approach velocity, is the flow depth measured perpendicular to the bed slope, and b R is the radius of the bucket. The minimum bucket radius should be 1 1 22 = bm R . F y and the extreme tail water levels t y are given as a function of br R and 1 F . Care should be taken against material entering the bucket that may cause damage by abrasion.

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  • Hydraulics Prof. B.S. Thandaveswara

    Indian Institute of Technology Madras

    32.6 Slotted Bucket Stilling Basin Bradley and peterka in 1959 developed the slotted bucket stilling basin (Fig. 32.10) with

    an 8D sloping apron on which teeth of 45D are installed. The teeth introduces stable flow

    and little boiling action.

    Three types of flow may be distinguished

    Sweep out with a too low tailwater level

    Minimum tailwater level below which excessive surface waves and scour occur and

    Maximum tailwater above which dividing flow results and the maximum tailwater

    level above which dividing results.

    A slotted bucket basin has a lower and an upper limit of operation. These depends on

    the approach Froude number ( )1

    1 1 21

    = /VF gy and the relative bucket radius

    2br 1

    1

    R 1 0 5 = +

    bR . Fy

    in which 1V is the approach velocity, is the flow depth measured perpendicular to the

    bed slope, and bR is the radius of the bucket.

    The minimum bucket radius should be 11

    2 2=bmR . Fy

    and the extreme tail water levels ty

    are given as a function of brR and 1F . Care should be taken against material entering

    the bucket that may cause damage by abrasion.

  • Hydraulics Prof. B.S. Thandaveswara

    Indian Institute of Technology Madras

    yt min/F1 = 3

    4

    5

    6

    7

    8

    9

    10

    111213141516

    F1 = V1gy1

    ______

    0 0.1 0.2 0.3 0.4 0.5 0.60

    2

    4

    6

    8

    10

    0 0.1 0.2 0.3 0.4 0.5 0.60

    2

    4

    6

    8

    10

    0.7

    yt max/F1 = 3

    456781012151820

    3040507090

    R

    bed approx 0.05Rbelow apron lip

    Bed slopes up

    R

    y V12

    2g____

    ________

    1 +R

    y V12

    2g____

    ________

    1 +

    Bed approximately 0.05R below lip

    (a) Minimum limit (b) Maximum limitMinimum and maximum tailwater limits (After Peterka, (1958)

    H

    h

    Tail Water Elevation

    y

    Apron lip

    Ry1

    Figure-32.7 Definition sketch for Slotted Bucket Stilling Basin

    t yts

    yt max

    yt minSweep out condition levelSafe minimum tail water level

    Upper limit of tail water

  • Hydraulics Prof. B.S. Thandaveswara

    Indian Institute of Technology Madras

    0 0.2 0.4 0.6 0.80

    2

    4

    6

    8

    10

    12

    0 0.1 0.2 0.3 0.4 0.5 0.60

    1

    2

    3

    4

    5

    6

    7

    8

    9

    10

    Minimum allowable

    Minimum bucket radius(after Peterka, 1958)

    Tailwater sweepout depth(after Peterka, 1958)

    141312131098

    7

    6

    5

    4

    3

    Figure 32.8

    Frl = V1____gy1 Frl =

    V1____gy1

    R

    y1V1

    2______

    +___2g

    R

    y1V1

    2______

    +___2g

    Tsy1___=15

    Following are important characteristics

    Tailwater level : Stage discharge relationship should be known.

    Cavitation control : Turbulent (fluctuations in the front part of basin and rear portion of appurtenances).

    Scour control Tailwater waves Based on the Field Experience following are listed:

    The tailwater depth should atleast be equal to the sequent depth of the classical jump,

    Adequate tailwater submergence can reduce the basin length,

    Dividing walls help in improving the stilling action and reduce concentration of flow,

  • Hydraulics Prof. B.S. Thandaveswara

    Indian Institute of Technology Madras

    Cavitation damage is likely to be increased by high velocity approach flow and low tailwater levels, and

    End sills reduce scour significantly.

    Stilling basins are popular and the designers favorite choice for energy dissipation,

    certainly because of the knowledge and experience acquired over the years. They have

    proved to be a reliable hydraulic structure if the approach conditions and the tailwater

    elevation are within certain limits. Abrasion may become a concern for stilling basins

    connected to a bottom outlets.

    0.05Rb

    0.125Rb

    0.5Rb

    0.05Rb

    168

    45

    Rb

    a)

  • Hydraulics Prof. B.S. Thandaveswara

    Indian Institute of Technology Madras

    0.05Rb

    45

    8

    Rb

    0.125Rb

    d)

    c)

    b)

    Figure - 32.9 Geometry of the Slotted bucket stilling basin

    }0 4 8 12 16 20 24 28

    0.2

    0.3

    0.4

    0.6

    0.37

    0.24

    0.16

    0.12

    R

    yt/y1

    F1

    A slotted bucket basin has a lower and an upper limit of operation

    Figure 32.10 - Extreme tailwater levels

    as function of initial Froude number and

    0

    4

    8

    12

    16

    2

    1

    for slotted stilling basin yt/y1

    [1+0.5 F1 ]Rbr= (Rb/y1 2

    br

    Minimum tailwater depths

    Maximum tailwater depths