hydr-design of settling basin new
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Hydraulic Design of Settling Basin
(1) Design conditions
Design intake discharge per 1 (one) settling basin Qo = 3.004 m3 /s
No. of sedimentation channels per 1 settling basin Ns = 2 channels
Design discharge per channel Q = 1.502 m3 /s = Qo / 2
Flushing discharge per channel Qs = 1.802 m3 /s = Q x 120 %
Content of suspended load in the river water Rs = 0.01 %Minimum particle size to be settled dc = 0.3 mm
Content of suspended load with particle size of 0.3 mm or more
Rc = 50 %
Flushing interval Fi = 14 days (= twice a month)
Fall velocity of sediment particle Vg = 0.04 m/s (for dc = 0.3 mm)
Bed slope of channel i = 1 / 100 ( > 1/100)
Average velocity in cedimentation channel U = 0.20 m/s
Thickness of sediment (= 0.2 to 0.25 m) D = 0.25 m
(at a point where the minimum particle is settled completely)
Thickness of partition wall tp = 0.30 m
Wall angle of inlet transition against flow direction q = 12.0 deg. ( < 12.5 deg.)
Width at beginning section of inlet transition Bo = 1.500 m
Water depth at beginning section of inlet transition ho = 2.069 m
Sill elevation at beginning section of inlet transition ELo = 29.250 m
(2) Width of sedimentation channelb = Q / (h U) = 3.00 m
and, b = {h2
+ a Q2
/(k h2)}
0.5 - h = 2.34 m say, 3.00 m
where, b : width of channel (m)
h : water depth above sediment h = 2.50 m
(at a point where the minimum particle is settled completely)
Q : discharge in channel Q = 1.502 m3 /s
U : average velocity in cedimentation channel U = 0.20 m/s
a : velocity coefficient (= 1.0 to 1.2) a = 1.2
k : coefficient k = tc / (r i) = 0.0252 = tc / (r i)
tc : critical tractive force tc = 0.000252 t/m2
= 8.41 r dc11/32
/ 104
r : unit weight of water r = 1.0 t/m3
dc : particle size to be settled dc = 0.03 cm
i : bed slope of channel i = 1 / 100
(3) Width of settling basin
B = Ns b + (Ns-1) t = 6.30 m
where, B : width of settling basin (m)
b : width of channel b = 3.00 m
Ns : no. of sedimentation channels Ns = 2 channels
tp : thickness of partition wall tp = 0.30 m
h=2.50m
D=0.25m
b=3.00m tp=0.30m b=3.00m
B=6.30m
(4) Design of inlet transition
Width at beginning section of inlet transition Bo = 1.50 m
Water depth at beginning section of inlet transition ho = 2.069 m
Sill elevation at beginning section of inlet transition ELo = 29.25 m
Width at end section of inlet transition Bi = 6.30 m = B
Length of transition Li = 11.00 m = (Bi - Bo)/(2 tanq)
Wall angle of inlet transition against flow direction q = 12.0 deg.
Water level difference between beginning and end sections
Dh = 0.006 m (see hydaulic calculation)
dimension
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Hydraulic elements of inlet transition
Distance from beginning point (m) 0.000 0.500 1.500 3.000 5.500 8.000 11.000
Width (m) 1.500 1.718 2.155 2.809 3.900 4.991 6.300
Water depth (m) 2.069 1.806 1.440 1.105 0.796 0.622 0.493
Flow area (m) 3.103 3.103 3.103 3.103 3.103 3.103 3.103
Sill elevation (m) 29.250 29.512 29.878 30.213 30.520 30.693 30.820
(5) Length of sedimentation channel
(a) Length from sedimentation theory
La = K h U / Vg = K Q / (b Vg) = 25.03 m
where, La : length of channel (m)
K : safety factor (= 1.5 to 2.0) K = 2.0
h : water depth above sediment h = 2.50 m
(at a point where the minimum particle is settled completely)
b : width of channel b = 3.00 m
U : average velocity in cedimentation channel U = 0.20 m/s
Vg : Fall velocity of sediment particle Vg = 0.04 m/s
Q : discharge in channel Q = 1.502 m3 /s
(b) Length from a detaching length of flow on gapped bed
Lb = L1 + L2 + L3 = 35.00 m
where, La : length of channel (m)
L1 : length of sediment terrace L1 = 12.80 mL2 : distance between downstream of terrace L2 = 19.40 m = 10 W'
and a point where the minimum particle is settled completely
L3 : excess length of channel (m) L3 = 2.80 m
(about gap height at end of sedimentation channel)
W : drop height at beginning section of chann W = 1.94 m = h+D-h1-(L1+L2)i
W' : downstream height of sediment terrace W' = 1.94 m = W OK
D : thickness of sediment D = 0.25 m
(at a point where the minimum particle is settled completely)
h : water depth above sediment h = 2.50 m
(at a point where the minimum particle is settled completely)
h1 : water depth above crest h1 = 0.49 m
(at beginning section of sedimentation channel) (see hydraulic elements of inlet transition)
i : bed slope of channel i = 1 / 100
We : step height at end section of channel We = 2.33 m
(c) Design length of sedimentation channel
La = 25.03 m < Lb 35.00 m say, L = Lb = 35.00 m
(6) Capacity of settling basin
Qr = 86400 Q Rs Rc Fi = 90.8 m3
Qv = b {W' L1 + D (L - L1) = 91.1 m3
> Qr OK
where, Qr : required capacity of settling basin (m3)
Qv : design capacity of settling basin (m3)
Q : Design discharge per channel Q = 1.502 m3 /s
Rs : Ratio of suspended material Rs = 0.01 %
Fi : flushing interval Fi = 14 days
b : width of channel b = 3.00 m
L : length of channel (m) L = 35.00 m
W : drop height at beginning section of chann W = 1.94 mWe : step height at end section of channel We = 2.33 m
h1=0.49m
W'=1.94m h=2.50m h=2.50m
W=1.94m i=1/100 We=2.33m
D=0.25m D=0.25m
L1=12.80m L2=19.40m L3=2.80m b=3.00m tp=0.30m b=3.00m
L=35.00 m
B=6.30m
dimension
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Hydraulic Design of Flushing Conduit/Flume
(1) Design conditions
Design discharge for flushing Qso = 3.605 m3 /s = Qo x 120 %
Number of sedimentation channels Ns = 2 nos.
Flushing discharge per channel Qs = 1.803 m3 /s = Qso / Ns
Width of sedimentation channel B = 3.000 m/channel
Bed slope of sedimentation channel I = 1/100
Acceleration of gravity g = 9.8 m/s2
(2) Hydraulic calculation in the sedimentation channel at flushing time
Critical water depth in the channel hc = 0.333 m = { Qs2
/ ( g B2
) }1/3
Flushing velocity V1 = 4.149 m/s = f { 2 g ( Z + 1.5 hc ) }1/2
where, Z : height of drop Z = 1.940 m
f : coefficient ( 0.6 to 0.7 ) f = 0.6
Water depth in the channel h1 = 0.145 m = Qs / ( B V1 ) (supercritical flow)
Froude number Fr1 = 3.481 = V1 / ( g h1 )1/2
(3) Transition and flushing conduit
Length of transition l = 3.00 m
Assumed width of flushing conduit b = 1.49 m (rectangular)
Assumed b/B ratio b/B = 0.498
where, B: width of sedimentation channel B = 3.00 m
b/B ratio from equation below b/B = 0.498 = assumed b/B OK
b/B = 2{1+(2l /B)2} / [2+(2l /B)
2[{1+8Fr1
2 /(1+(2l /B)
2)}
1/2 -1]]
Design width of flushing conduit b = 1.50 m (rectangular)
Critical water depth in the conduit hc2 = 0.528 m = { Q2
/ ( g b2
) }1/3
Water depth of shock wave h2 = 0.436 m
Check h2 /hc2 h2 /hc2 = 0.826 < 1 OK
h2 /hc2 = [[1+8Fr12 /{1+(2l /B)
2}]
1/2 -1] h1 / [2{Q
2 /(g b
2)}
1/3]
Bed slope of flushing conduitBackwater effect from the river 1 ( 1 : not to be considered )
( 2 : to be considered )
Bed slope of flushing conduit Ic = 1/100 = I
In case, considering backwater effect from the river
Velocity in the conduit V2 = 2.757 m/s = Qs / (b h2 )
Froude number in the conduit Fr2 = 1.334 = V2 / ( g h2 )1/2
h3 /h2 ratio h3 / h2 = 1.634
Water depth in the conduit h3 = 0.712 m
Required height of flushing conduit H = 0.60 m > hc2 OK
(4) Design dimensions of flushing flume
Internal width Bo = 1.50 m
Internal height Ho = 1.00 m (> H + Fbo) OK
No. of barrels No = 1 bareels
Freeboard Fbo = 0.25 m (for Qo = 1.803 m3/s < 5.0 m3/s)
(5) Design dimensions of flushing gate and conduit
Clear width bg = 1.50 m
Clear height hg = 1.00 m (> H + Fbg) OK
Freeboard Fbg = 0.25 m (for Qo = 1.803 m3/s < 5.0 m3/s)
No. of gate/conduit Ng = 2 sets/barrels
dimension
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(6) Flushing conduit/flume (in case, considering backwater effect from the river)
Flushing discharge Qo = 1.803 m3 /s = Qs
Average velocity Vo = 1.69 m/s (about 1.5 m/s for coarse sand)
Width of flushing conduit bo = 1.50 m = b
Water depth ho = 0.712 m = h3
Bed slope of flushing conduit/flume
Vo = Ko x Ro2/3 x Io1/2
\ Io = {Vo / (Ko x Ro2/3
)} = 0.00892 (= 1/112.1)
where,
Roughness coefficient Ko = 35
Flow area Ao = 1.068 m2
= bo ho
Wetted perimeter Po = 2.924 m = bo + 2 ho
Hydraulic radius Ro = 0.365 m = Ao / Po
dimension
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Hydraulic Design of Broad-crested Weir
(1) Design conditions
Type of water measuring device Broad-crested weir with rounded entrance
and downstream slope of 1:1
Shape of control Rectangular control
Design discharge Q = 1.502 m3 /s = Qo / 2
Crest elevation EL0 = 30.860 mCanal bed elevation upstream of weir EL1 = 28.530 m (end section of sedimentation channel)
Canal bed elevation downstream of weir EL2 = 29.960 m (Bed EL at BP of main camal)
Water level upstream of weir WL1 = 31.321 m (end section of sedimentation channel)
Water level downstream of weir WL2 = 31.140 m (WL at BP of main camal + 0.05m)
Width of crest b0 = 3.000 m = b1
Width of upstream canal b1 = 3.000 m = b (sedimentation channel)
Width of downstream canal b2 = 3.000 m = b1
Upstream water depth above crest h1 = 0.461 m = WL1 - EL0
Downstream water depth above crest h2 = 0.280 m = WL2 - EL0
Upstream height of weir p1 = 2.330 m = EL0 - EL1
Downstream height of weir p2 = 0.900 m = EL0 - EL2
Acceleration of gravity g = 9.8 m/s2
(2) Hydraulic elements
Critical water depth above crest h0 = 0.295 m = {Q2
/ (g b02
)}1/3
Flow area above crest A* = 0.885 m2
= b0 h0
Flow area upstream of weir A1 = 8.373 m = b1 (h1 + p1)
Flow area downstream of weir A2 = 3.540 m = b2 (h2 + p2)
Velocity of upstream canal v1 = 0.179 m/s = Q / A1
Velocity of downstream canal v2 = 0.424 m/s = Q / A2
Velocity head of upstream canal hv1 = 0.002 m = v12
/ (2 g)
Velocity head of downstream canal hv2 = 0.009 m = v22
/ (2 g)
Upstream energy head above crest H1 = 0.463 m = h1 + hv1
Downstream energy head above crest H2 = 0.289 m = h2 + hv2
(3) Check to complete overflow
in case, (2/3) H1 > H2 : Complete overflowin case, (2/3) H1 < H2 : Incomplete/submerged overflow
(2/3) H1 = 0.308 m > H2 = 0.289 m Complete overflow
OK
(4) Length and radius of crest
L > 1.75 H1 + 0.2 H1 = 1.95 H1 = 0.902 m say, 1.50 m
R = 0.2 H1 = 0.093 m say, 0.15 m
where, L : length of crest (m)
R : radius at upstream face of crest (m)
H1 : Upstream energy head above crest H1 = 0.463 m
(5) Discharge above crest
Q0 = Cd Cv (2/3) {(2/3) g}0.5 bc h11.5 = 1.546 m3
/s
> Q = 1.502 m3 /s OK
where, Q0 : discharge (m /s)
Cd : discharge coefficient
Cd = 0.93 + 0.10 (H1 /L) (for 0.1 < H1 /L <1.0)
H1 / L = 0.31
Cd = 0.96
Cv : approach velocity coefficient
Cd A* / A1 = 0.10
Cv = 1.005 (from Figure 2.3 of KP-04)
dimension
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Check of Hydraulic Design of Broad-crested WeirIntake Water Level 31.550 m (Crest EL. )
Intake Discharge 3.605 m3 /s (120% of required intake discharge)
(1) Design conditions
Type of water measuring device Broad-crested weir with rounded entrance
and downstream slope of 1:1
Shape of control Rectangular control
Design discharge Q = 1.802 m3
/s = Qs (per sedimentation channel)Crest elevation EL0 = 30.860 m
Canal bed elevation upstream of weir EL1 = 28.530 m (end section of sedimentation channel)
Canal bed elevation downstream of weir EL2 = 29.960 m (Bed EL at BP of main camal)
Water level upstream of weir WL1 = 31.385 m (end section of sedimentation channel)
Water level downstream of weir WL2 = 31.140 m (WL at BP of main camal + 0.05m)
Width of crest b0 = 3.000 m = b1
Width of upstream canal b1 = 3.000 m = b (sedimentation channel)
Width of downstream canal b2 = 3.000 m = b1
Upstream water depth above crest h1 = 0.525 m = WL1 - EL0
Downstream water depth above crest h2 = 0.280 m = WL2 - EL0
Upstream height of weir p1 = 2.330 m = EL0 - EL1
Downstream height of weir p2 = 0.900 m = EL0 - EL2
Acceleration of gravity g = 9.8 m/s2
(2) Hydraulic elements
Critical water depth above crest h0 = 0.333 m = {Q2
/ (g b02
)}1/3
Flow area above crest A* = 0.999 m2
= b0 h0
Flow area upstream of weir A1 = 8.565 m2
= b1 (h1 + p1)
Flow area downstream of weir A2 = 3.540 m = b2 (h2 + p2)
Velocity of upstream canal v1 = 0.210 m/s = Q / A1
Velocity of downstream canal v2 = 0.509 m/s = Q / A2
Velocity head of upstream canal hv1 = 0.002 m = v12
/ (2 g)
Velocity head of downstream canal hv2 = 0.013 m = v22
/ (2 g)
Upstream energy head above crest H1 = 0.527 m = h1 + hv1
Downstream energy head above crest H2 = 0.293 m = h2 + hv2
(3) Check to complete overflow
in case, (2/3) H1 > H2 : Complete overflow
in case, (2/3) H1 < H2 : Incomplete/submerged overflow
(2/3) H1 = 0.352 m > H2 = 0.293 m Complete overflow
OK
(4) Length and radius of crest
L > 1.75 H1 + 0.2 H1 = 1.95 H1 = 1.028 m say, 1.50 m
R = 0.2 H1 = 0.105 m say, 0.15 m
where, L : length of crest (m)
R : radius at upstream face of crest (m)
H1 : Upstream energy head above crest H1 = 0.527 m
(5) Discharge above crest
Q0 = Cd Cv (2/3) {(2/3) g}0.5
bc h11.5
= 1.889 m3 /s
> Q = 1.802 m3 /s OK
where, Q0 : discharge (m /s)
Cd : discharge coefficient
Cd = 0.93 + 0.10 (H1 /L) (for 0.1 < H1 /L <1.0)
H1 / L = 0.35
Cd = 0.97
Cv : approach velocity coefficient
Cd A* / A1 = 0.11
Cv = 1.006 (from Figure 2.3 of KP-04)
dimension
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Hydrauric Design Statement of Lanang Intake (between Inlet and End Section of Settling Basin)
Intake Water Level 31.450 m (Crest EL. 31.550 m - 0.10 m)
Intake Discharge 3.004 m3 /s (100% of required intake discharge)
Energy Energy Velocity Water Water Bed
Structure Station Distance Discharge Loss Line EL. Velocity Head Level Depth Elevation Rem
L (m) Q (m3 /s) hl (m) EH (m) V (m/s) Vh (m) WL (m) d (m) BL (m)River
0 0.00 3.004 31.450 0.000 0.000 31.450 6.095 25.355
Inlet 0.00 0.011 hl0 = hi
1 0.00 3.004 31.439 0.934 0.045 31.394 2.144 29.250
Inlet Flume 3.00 0.033 hl1 = hf 22 3.00 3.004 31.406 0.949 0.046 31.360 2.110 29.250
Inlet of Conduit 0.00 0.000 hl2 = hsc
3 3.00 3.004 31.406 0.949 0.046 31.360 2.110 29.250
Conduit (Free flow) 13.60 0.006 hl4 = hf 44 16.60 3.004 31.400 0.952 0.046 31.354 2.104 29.250
Outlet of Conduit 0.00 0.000 hl5 = hse
5 16.60 3.004 31.400 0.952 0.046 31.354 2.104 29.250
Transition 0.00 0.000 hl5' = hg
5' 16.60 3.004 31.400 0.952 0.046 31.354 2.104 29.250
Outlet Flume 72.60 0.033 hl6 = hf 66 B.P. of Settling Basin 89.20 3.004 31.367 0.968 0.048 31.319 2.069 29.250
Inlet Transition 11.00 0.006 hl7 = hge
7 100.20 3.004 31.361 0.967 0.048 31.313 0.493 30.820
Inlet Crest 2.00 0.003 hl8 = hsc
8 102.20 3.004 31.358 1.039 0.055 31.302 0.482 30.820
Drop at Beginning Sect. 0.00 0.035 hl9 = hse
9 102.20 3.004 31.323 0.205 0.002 31.320 2.440 28.880
Sedimentation Channel 35.00 0.000 hl10 = hf
10 137.20 3.004 31.323 0.179 0.002 31.321 2.791 28.530
(Broad crested weir) 30.860 (Crest el
Total 137.20 m 0.127 m SDWL = 0.129 m
Water Level at Upstream of Broad-crested Weir
31.450 -0.129 = 31.321 m
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Hydrauric Design Statement of Lanang Intake (between Inlet and End Section of Settling Basin)
Intake Water Level 31.550 m (Crest EL. )
Intake Discharge 3.605 m3 /s (120% of required intake discharge)
Energy Energy Velocity Water Water BedStructure Station Distance Discharge Loss Line EL. Velocity Head Level Depth Elevation Rem
L (m) Q (m3 /s) hl (m) EH (m) V (m/s) Vh (m) WL (m) d (m) BL (m)River
0 0.00 3.605 31.550 0.000 0.000 31.550 6.195 25.355
Inlet 0.00 0.015 hl0 = hi
1 0.00 3.605 31.535 1.080 0.060 31.475 2.225 29.250
Inlet Flume 3.00 0.043 hl1 = hf 22 3.00 3.605 31.492 1.102 0.062 31.430 2.180 29.250
Inlet of Conduit 0.00 0.000 hl2 = hsc
3 3.00 3.605 31.492 1.102 0.062 31.430 2.180 29.250
Conduit (Free flow) 13.60 0.008 hl4 = hf 44 16.60 3.605 31.484 1.107 0.063 31.421 2.171 29.250
Outlet of Conduit 0.00 0.000 hl5 = hse
5 16.60 3.605 31.484 1.107 0.063 31.421 2.171 29.250
Transition 0.00 0.000 hl5' = hg
5' 16.60 3.605 31.484 1.107 0.063 31.421 2.171 29.250
Outlet Flume 72.60 0.045 hl6 = hf 66 B.P. of Settling Basin 89.20 3.605 31.439 1.132 0.065 31.373 2.123 29.250
Inlet Transition 11.00 0.009 hl7 = hge
7 100.20 3.605 31.430 1.031 0.054 31.375 0.555 30.820
Inlet Crest 2.00 0.003 hl8 = hsc
8 102.20 3.605 31.427 1.106 0.062 31.363 0.543 30.820
Drop at Beginning Sect. 0.00 0.038 hl9 = hse
9 102.20 3.605 31.389 0.240 0.003 31.384 2.504 28.880
Sedimentation Channel 35.00 0.000 hl10 = hf
10 137.20 3.605 31.389 0.210 0.002 31.385 2.855 28.530
(Broad crested weir) 30.860 (Crest el
Total 137.20 m 0.161 m SDWL = 0.165 m
Water Level at Upstream of Broad-crested Weir
31.550 -0.165 = 31.385 m
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Hydraulic Calculation of Lanang IntakeIntake Water Level 31.450 m (Crest EL. 31.550 m - 0.10 m)
Intake Discharge 3.004 m3 /s (100% of required intake discharge)
1. Design Conditions and Input Data
(1) Design discharge and no. of channels per one (1) settling basin
- Design intake discharge Q = 3.004 m3 /s
- Design discharge per inlet flume channel or conduit barrel Q1 = 3.004 m3 /s/channel
- Design discharge per outlet flume channel Q2 = 3.004 m3 /s/barrel
- Design discharge per sedimentation channel Q3 = 1.502 m3 /s/channel
- Design discharge per approach flume channel Q4 = 3.004 m3 /s/channel
- No. of inlet flume channel or conduit barrels N1 = 1 nos.
- No. of outlet flume channels N2 = 1 nos.
- No. of sedimentation channels N3 = 2 nos.
- No. of approach flume channels N4 = 1 nos.
(2) Hydraulic conditions at beginning section (river)
- Water level in the river NWL WL0 = 31.450 m = (Crest EL. 31.550 m - 0.10 m)
- Bed elevation in the river EL0 = 25.355 m
- Water depth in the river h0 = 6.095 m
- Velocity V0 = 0.000 m/s
- Roughness coefficient n = 1 / K = 0.015 (Concrete)
K = 65
- Acceleration of gravity g = 9.8 m/s2
(3) Dimensions in each section
Structure Bed EL. Width Length Nos. Thickness of No. of Bed slope
(m) (m) (m) partition wall (mpartition wall
Inlet flume
1 Beginning section 29.250 1.500 0.000 1 0.000 02 End section 29.250 1.500 3.000 1 0.000 0 LevelConduit (free flow) (Clear height 2.770 )
3 Beginning section 29.250 1.500 0.000 1 0.000 0
4 End section 29.250 1.500 13.600 1 0.000 0 Level
Outlet flume
5 Beginning section 29.250 1.500 0.000 1 0.000 05' Transition 29.250 1.500 0.000 1 0.000 0 Level
6 End section 29.250 1.500 72.600 1 0.000 0 Level
Settling basin
7 Inlet transition (E.P.) 30.820 6.300 11.000 1 0.000 0 Reverse
7' Inlet crest (B.P.) 30.820 3.000 0.000 2 0.300 1
8 Inlet crest (E.P.) 30.820 3.000 2.000 2 0.300 1 Level
9 Drop at beginning secti 28.880 3.000 0.000 2 0.300 1(Gap height 1.940 )
10 End section of 28.530 3.000 35.000 2 0.300 1 0.010000sedimentation channel (Gap height 2.330 )
(Broad crested weir) 30.860 3.000 0.000 2 0.300 1
hydro-calc Q100%
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(4) Head loss factor
(a) Head loss coefficient at inlet
Shape of inlet Coefficient fi Shape of inlet : edge cut
square edge 0.5 fi = 0.25
edge cut 0.25
circular round 0.1
squared round 0.2
bell-mouth 0.01 - 0.05
(b) Head loss factor at trashrack
ItemHeight of trash a = min. (0.1h or 0.25m) h: upstream water depth
Unit weight of wetted trash ga = 200 kg/m3
Thickness of bar t = 0.01 m
Clear space between bars b = 0.150 m
Inclined angle of trash rack q = 90 deg.
(c) Head loss coefficient at open transition
Changing condition of Gradual contraction Gradual enlargement
open transition formation coefficient fgc coefficient fge
rectangular to rectangular 0.10 0.20
trapezoidal to trapezoidal 0.10 0.20rectangular to circular with fillet 0.20 0.30
trapezoidal to rectangular with twisted wall 0.20 0.30
trapezoidal to circular with twisted wall 0.30 0.40
trapezoidal to rectangular with bended wall 0.30 0.50
trapezoidal to circular with bended wall 0.40 0.70
Transition at B.P. of outlet flume Formation of open transition : Rectangular to rectangular
fgc = 0.10
Inlet transition of settling basin Formation of open transition : Rectangular to rectangularfge = 0.20
Outlet transition of settling basin Formation of open transition : Rectangular to rectangular
fgc = 0.10
hydro-calc Q100%
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2. Inlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per inlet channel Q1 = 3.004 m3 /s/channel
- No. of inlet channels N1 = 1 nos.
(2) Hydraulic conditions at beginning section (river)- Water level WL0 = 31.450 m
- Base elevation EL0 = 25.355 m
- Water depth h0 = 6.095 m
- Velocity V0 = 0.000 m/s
- Velocity head V02 / 2g = 0.000 m
(3) Change of water level due to inflow
Dhi = hi + ( V12
/ 2g - V02
/ 2g )
hi = fi ( V12
/ 2g - V02
/ 2g )
where,
hi : Head loss due to inflowfi : Head loss coefficient at inlet fi = 0.25 (for edge cut)
(a) Assumed Dhi Dhi = 0.056 m
(b) Beginning section of inlet flume (after inflow)
- Base elevation EL1 = 29.250 m
- Width b1 = 1.500 m
- Water depth h1 = 2.144 m = WL0 - EL1 - Dhi
- Flow area A1 = 3.216 m = N1 (b1 h1)
- Wetted perimeter P1 = 5.788 m = N1 (b1 + 2h1)
- Hydraulic radius R1 = 0.556 m = A1 / P1
- Velocity V1 = 0.934 m/s = Q / A1
- Velocity head V12 / 2g = 0.045 m
(c) Calculation of hi and Dhi hi = 0.011 m
\ Dhi = 0.056 m = Assumed Dhi OK
(4) Water level at beginning section of inlet flume (after inflow)
WL1 = 31.394 m = WL0 - Dhi
(5) Length and bed slope of inlet flume
- Length L2 = 3.000 m
- Bed slope I2 = Level
(6) Change of water level due to friction
Dhf 2 = hf 2 + ( V22
/ 2g - V12
/ 2g )
hf 2 = ( n Vm2 / Rm22/3
)2
L2
where,
hf 2 : Head loss due to friction
Vm2 : Mean velocity Vm2 = ( V1 + V2 ) / 2
Rm2 : Mean hydraulic radius Rm2 = ( R1 + R2 ) / 2
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(a) Assumed Dhf 2 Dhf 2 = 0.001 m
(b) upstream section of trashrack
- Base elevation EL2 = 29.250 m
- Width b2 = 1.500 m
- Water depth h2 = 2.143 m = WL1 - EL2 - Dhf 2- Flow area A2 = 3.215 m = N1 (b2 h2)
- Wetted perimeter P2 = 5.786 m = N1 (b2 + 2h2)- Hydraulic radius R2 = 0.556 m = A2 / P2
- Velocity V2 = 0.934 m/s = Q / A1
- Velocity head V22 / 2g = 0.045 m
(c) Calculation of Dhf 2 Vm2 = 0.934 m/s
Rm2 = 0.556 m
hf 2 = 0.001 m
\ Dhf 2 = 0.001 m = Assumed Dhf 2 OK
(7) Water level at upstream section of trashrack
WL2 = 31.393 m = WL1 - Dhf 2
(8) Change of water level due to trashrack
Dht = ht + ( V2'2
/ 2g - V22
/ 2g )
where,
ht : Head loss due to trashrack ht = 6.69 sinq (t/b)4/3
exp(0.074 ga a/h2) V22 / 2g
(a) Head loss due to trashrack
- Water depth (u/s of trash rack) h2 = 2.143 m
- Velocity V2 = 0.935 m/s = Q / {N1 (h2 b2)}
- Velocity head V22 / 2g = 0.045 m
- Height of trash a = 0.200 m = min. (0.1h2 or 0.25m)
- Unit weight of wetted trash ga = 200 kg/m
3
- Thickness of bar t = 0.01 m
- Clear space between bars b = 0.150 m
- Inclined angle of trash rack q = 90 deg.
Head loss due to trashrack ht = 0.032 m
(b) Assumed Dht Dht = 0.033 m
(c) Downstream section of trashrack
- Base elevation EL2' = 29.250 m = EL2
- Width b2' = 1.500 m = b2
- Water depth h2' = 2.110 m = WL2 - EL2' - Dht
- Flow area A2' = 3.165 m = N1 (b2' h2')
- Wetted perimeter P2' = 5.720 m = N1 (b2' + 2h2')
- Hydraulic radius R2' = 0.553 m = A2' / P2'
- Velocity V2' = 0.949 m/s = Q / A2'
- Velocity head V2'2 / 2g = 0.046 m
(d) Calculation of Dht Dht = 0.033 m = Assumed Dht OK
(9) Water level at downstream section of trashrack
WL2' = 31.360 m = WL2 - Dht
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3. Conduit (Free flow)
(1) Design discharge and no. of barrels
- Design discharge Q = 3.004 m3 /s
- Design discharge per conduit barrels Q1 = 3.004 m3 /s/barrel
- No. of conduit barrels N1 = 1 nos.
(2) Change of water level due to sudden contraction A3 / A2' fsc0.0 0.50
Dhsc = hsc + ( V32
/ 2g - V2'2
/ 2g ) 0.1 0.48
hsc = fsc V32 / 2g 0.2 0.45
0.3 0.41
where, 0.4 0.36
hsc : Head loss due to sudden contraction 0.5 0.29
fsc : Head loss coefficient of sudden contraction 0.6 0.21
(Refer to the right table) 0.7 0.13
0.8 0.07(a) Assumed Dhsc Dhsc = 0.000 m 0.9 0.01
1.0 0.00
(b) Before contraction
- Width per channel b2' = 1.500 m
- Water depth h2' = 2.110 m
- Flow area A2' = 3.165 m
- Wetted perimeter P2' = 5.720 m
- Hydraulic radius R2' = 0.553 m
- Velocity V2' = 0.949 m/s
- Velocity head V2'2 / 2g = 0.046 m
(c) After contraction
- Base elevation EL3 = 29.250 m
- Width of channel b3 = 1.500 m Clear height hi= 2.770 m
- Water depth h3 = 2.110 m = WL2' - EL2' - Dhsc
- Flow area A3 = 3.165 m = N1 (b3 h3)- Wetted perimeter P3 = 5.720 m = N1 (b3 + 2h3)
- Hydraulic radius R3 = 0.553 m = A3 / P3
- Velocity V3 = 0.949 m/s = Q / A3
- Velocity head V32 / 2g = 0.046 m
(d) Calculation of Dhsc A3 / A2' = 1.00
fsc = 0.00 (Refer to the table above)
hsc = 0.000 m\ Dhsc = 0.000 m = Assumed Dhsc OK
(3) Water level at beginning section of conduit
WL3 = 31.360 m = WL2' - Dhsc
(4) Length and bed slope of conduit
- Length L4 = 13.600 m
- Bed slope I4 = Level
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(5) Change of water level due to friction
Dhf 4 = hf 4 + ( V42
/ 2g - V32
/ 2g )
hf 4 = ( n Vm4 / Rm42/3
)2
L4
where,
hf 4 : Head loss due to friction
Vm4 : Mean velocity Vm4 = ( V3 + V4 ) / 2
Rm4 : Mean hydraulic radius Rm4 = ( R3 + R4 ) / 2
(a) Assumed Dhf 4 Dhf 4 = 0.006 m
(b) Beginning section of conduit
- Base elevation EL3 = 29.250 m
- Width of channel b3 = 1.500 m
- Water depth h3 = 2.110 m
- Flow area A3 = 3.165 m
- Wetted perimeter P3 = 5.720 m
- Hydraulic radius R3 = 0.553 m
- Velocity V3 = 0.949 m/s
- Velocity head V32
/ 2g = 0.046 m
(c) End sections of conduit
- Base elevation EL4 = 29.250 m
- Width b4 = 1.500 m
- Water depth h4 = 2.104 m = WL3 - EL4 - Dhf 4- Flow area A4 = 3.156 m = N1 (b4 h4)
- Wetted perimeter P4 = 5.708 m = N1 (b4 + 2h4)
- Hydraulic radius R4 = 0.553 m = A4 / P4
- Velocity V4 = 0.952 m/s = Q / A4
- Velocity head V42 / 2g = 0.046 m
(d) Calculation of Dhf 4 Vm4 = 0.951 m/sRm4 = 0.553 m
hf 4 = 0.006 m
\ Dhf 4 = 0.006 m = Assumed Dhf 2 OK
(6) Water level at end section of conduit
WL4 = 31.354 m = WL3 - Dhf 4
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4. Beginning Section of Outlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per conduit barrel Q1 = 3.004 m3 /s/barrel
- Design discharge per flume channel Q2 = 3.004 m3 /s/channel
- No. of conduit barrels N1 = 1 nos.
- No. of flume channels N2 = 1 nos.
(2) Change of water level due to sudden enlargement A4 / A5 fse
0.0 1.00
Dhse = hse + ( V52
/ 2g - V42
/ 2g ) 0.1 0.81
hse = fse V4 2 / 2g 0.2 0.64
0.3 0.49
where, 0.4 0.36hse : Head loss due to sudden enlargement 0.5 0.25
fse : Head loss coefficient of sudden enlargement 0.6 0.16
(Refer to the right table) 0.7 0.09
0.8 0.04
(a) Assumed Dhse Dhse = 0.000 m 0.9 0.01
1.0 0.00(b) Before enlargement
- Width per channel b4 = 1.500 m
- Water depth h4 = 2.104 m
- Flow area A4 = 3.156 m
- Wetted perimeter P4 = 5.708 m
- Hydraulic radius R4 = 0.553 m
- Velocity V4 = 0.952 m/s
- Velocity head V42 / 2g = 0.046 m
(c) After enlargement
- Base elevation EL5 = 29.250 m
- Width of channel b5 = 1.500 m
- Water depth h5 = 2.104 m = WL4 - EL5 - Dhse
- Flow area A5 = 3.156 m = N2 (b5 h5)
- Wetted perimeter P5 = 5.708 m = N2 (b5 + 2h5)
- Hydraulic radius R5 = 0.553 m = A5 / P5
- Velocity V5 = 0.952 m/s = Q / A5
- Velocity head V52 / 2g = 0.046 m
(d) Calculation of Dhse A4 / A5 = 1.00
fse = 0.00 (Refer to the table above)
hse = 0.000 m
\ Dhse = 0.000 m = Assumed Dhse OK
(3) Water level at beginning section of outlet flume
WL5 = 31.354 m = WL4 - Dhse
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5. Transition at Beginning Section of Outlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per flume channel Q2 = 3.004 m3 /s/channel
- No. of flume channels N2 = 1 nos.
(2) Length and bed slope
- Length L5' = 0.000 m
- Bed slope I5' = Level
(3) Change of water level due to gradual contraction
Dhgc = hgc + hf 5' + ( V5'2
/ 2g - V52
/ 2g )
hgc = fgc ( V5'2
/ 2g - V52
/ 2g )
hf 5' = ( n Vm5' / Rm5'2/3
)2
L5'
where,
hgc : Head loss due to gradual contraction
hf 5' : Head loss due to frictionVm5' : Mean velocity Vm5' = ( V5 + V5' ) / 2
Rm5' : Mean hydraulic radius Rm5' = ( R5 + R5' ) / 2
fgc : Head loss coefficient of gradual contraction
fgc = 0.10 (for Rectangular to rectangular)
(a) Assumed Dhgc Dhgc = 0.000 m
(b) End section of inlet transition
- Bed elevation EL5' = 29.250 m
- Bed width b5' = 1.500 m
- Water depth h5' = 2.104 m = WL5 - EL5' - Dhgc
- Flow area A5' = 3.156 m = N2 (b5' h5')
- Wetted perimeter P5' = 5.708 m = N2 (b5' + 2h5')- Hydraulic radius R5' = 0.553 m = A5' / P5'
- Velocity V5' = 0.952 m/s = Q / A5'
- Velocity head V5'2 / 2g = 0.046 m
(c) Calculation of Dhgc Vm5' = 0.952 m/s
Rm5' = 0.553 m
hf 5' = 0.000 m
hgc = 0.000 m
\ Dhgc = 0.000 m = Assumed Dhgc OK
(4) Water level at end section of inlet transition
WL5' = 31.354 m = WL5 - Dhgc
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6. End Section of Outlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per flume channel Q2 = 3.004 m3 /s/channel
- No. of flume channels N2 = 1 nos.
(2) Length and bed slope
- Length L6 = 72.600 m
- Bed slope I6 = Level
(3) Change of water level due to friction
Dhf 6 = hf 6 + ( V62
/ 2g - V5'2
/ 2g )
hf 6 = ( n Vm6 / Rm62/3
)2
L6
where,
hf 6 : Head loss due to friction
Vm6 : Mean velocity Vm6 = ( V5' + V6 ) / 2
Rm6 : Mean hydraulic radius Rm6 = ( R5' + R6 ) / 2
(a) Assumed Dhf 6 Dhf 6 = 0.035 m
(b) End section of outlet flume
- Bed elevation EL6 = 29.250 m
- Bed width b6 = 1.500 m
- Water depth h6 = 2.069 m = WL5' - EL6 - Dhf 6- Flow area A6 = 3.103 m = N2 (b6 h6)
- Wetted perimeter P6 = 5.638 m = N2 (b6 + 2h6)
- Hydraulic radius R6 = 0.550 m = A6 / P6
- Velocity V6 = 0.968 m/s = Q / A6
- Velocity head V62 / 2g = 0.048 m
(c) Calculation of Dhf 6 Vm6 = 0.960 m/s
Rm6 = 0.552 m
hf 6 = 0.033 m
\ Dhf 6 = 0.035 m = Assumed Dhf 6 OK
(4) Water level at end section of outlet flume
(BP of settling basin)
WL6 = 31.319 m = WL5' - Dhf 6
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7. Inlet Transition of Settling Basin
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per flume channel Q2 = 3.004 m3 /s/channel
- No. of flume channels N2 = 1 nos.
(2) Length and bed slope
- Length L7 = 11.000 m
- Bed slope I7 = Reverse
(3) Change of water level due to gradual enlargement
Dhge = hge + hf 7 + ( V72
/ 2g - V62
/ 2g )
hge = fge ( V62
/ 2g - V72
/ 2g )
hf 7 = ( n Vm7 / Rm72/3
)2
L7
where,
hge : Head loss due to gradual enlargement
hf 7 : Head loss due to frictionVm7 : Mean velocity Vm7 = ( V6 + V7 ) / 2
Rm7 : Mean hydraulic radius Rm7 = ( R6 + R7 ) / 2
fge : Head loss coefficient of gradual enlargement
fge = 0.20 (for Rectangular to rectangular)
(a) Assumed Dhge Dhge = 0.006 m
(b) End section of inlet transition
- Bed elevation EL7 = 30.820 m
- Bed width b7 = 6.300 m
- Water depth h7 = 0.493 m = WL6 - EL7 - Dhge
- Flow area A7 = 3.106 m = N2 (b7 h7)
- Wetted perimeter P7 = 7.286 m = N2 (b7 + 2h7)- Hydraulic radius R7 = 0.426 m = A7 / P7
- Velocity V7 = 0.967 m/s = Q / A7
- Velocity head V72 / 2g = 0.048 m
(c) Calculation of Dhge Vm7 = 0.968 m/s
Rm7 = 0.488 m
hf 7 = 0.006 m
hge = 0.000 m
\ Dhge = 0.006 m = Assumed Dhge OK
(4) Water level at end section of inlet transition
WL7 = 31.313 m = WL6 - Dhge
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8. Inlet Crest
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per flume channel Q2 = 3.004 m3 /s/channel
- Design discharge per crest channel Q3 = 1.502 m3 /s/channel
- No. of flume channels N2 = 1 nos.
- No. of inlet crest channels N3 = 2 nos.
(2) Change of water level due to sudden contraction A7' / A7 fsc
0.0 0.50
Dhsc = hsc + ( V7'2
/ 2g - V7 2
/ 2g ) 0.1 0.48
hsc = fsc V7'2 / 2g 0.2 0.45
0.3 0.41
where, 0.4 0.36hsc : Head loss due to sudden contraction 0.5 0.29
fsc : Head loss coefficient of sudden contraction 0.6 0.21
(Refer to the right table) 0.7 0.13
0.8 0.07
(a) Assumed Dhsc Dhsc = 0.008 m 0.9 0.01
1.0 0.00(b) Before contraction
- Width per channel b7 = 6.300 m
- Water depth h7 = 0.493 m
- Flow area A7 = 3.106 m
- Wetted perimeter P7 = 7.286 m
- Hydraulic radius R7 = 0.426 m
- Velocity V7 = 0.967 m/s
- Velocity head V72 / 2g = 0.048 m
(c) After contraction
- Base elevation EL7' = 30.820 m
- Width of channel b7' = 3.000 m
- Water depth h7' = 0.485 m = WL7 - EL7' - Dhsc
- Flow area A7' = 2.910 m = N3 (b7' h7')
- Wetted perimeter P7' = 7.940 m = N3 (b7' + 2h7')
- Hydraulic radius R7' = 0.366 m = A7' / P7'
- Velocity V7' = 1.032 m/s = Q / A7'
- Velocity head V7'2 / 2g = 0.054 m
(d) Calculation of Dhsc A7' / A7 = 0.94
fsc = 0.01 (Refer to the table above)
hsc = 0.001 m
\ Dhsc = 0.008 m = Assumed Dhsc OK
(3) Water level at beginning section of inlet crest
WL7' = 31.305 m = WL7 - Dhsc
(4) Length and bed slope
- Length L8 = 2.000 m
- Bed slope I8 = Level
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(5) Change of water level due to friction
Dhf 8 = hf 8 + ( V82
/ 2g - V7'2
/ 2g )
hf 8 = ( n Vm8 / Rm82/3
)2
L8
where,
hf 8 : Head loss due to friction
Vm8 : Mean velocity Vm8 = ( V7' + V8 ) / 2
Rm8 : Mean hydraulic radius Rm8 = ( R7' + R8 ) / 2
(a) Assumed Dhf 8 Dhf 8 = 0.003 m
(b) Beginning section of inlet crest
- Base elevation EL7' = 30.820 m
- Width of channel b7' = 3.000 m
- Water depth h7' = 0.485 m
- Flow area A7' = 2.910 m
- Wetted perimeter P7' = 7.940 m
- Hydraulic radius R7' = 0.366 m
- Velocity V7' = 1.032 m/s
- Velocity head V7'2
/ 2g = 0.054 m
(c) End sections of inlet crest
- Base elevation EL8 = 30.820 m
- Width b8 = 3.000 m
- Water depth h8 = 0.482 m = WL7' - EL8 - Dhf 8- Flow area A8 = 2.892 m = N3 (b8 h8)
- Wetted perimeter P8 = 7.928 m = N3 (b8 + 2h8)
- Hydraulic radius R8 = 0.365 m = A8 / P8
- Velocity V8 = 1.039 m/s = Q / A8
- Velocity head V82 / 2g = 0.055 m
(d) Calculation of Dhf 8 Vm8 = 1.036 m/sRm8 = 0.366 m
hf 8 = 0.002 m
\ Dhf 8 = 0.003 m = Assumed Dhf 8 OK
(6) Water level at end section of inlet crest
WL8 = 31.302 m = WL7' - Dhf 8
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9. Drop at Beginning Section of Sedimentation Channel
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per channel Q3 = 1.502 m3 /s/channel
- No. of sedimentation channels N3 = 2 nos.
(2) Height and length of drop
- Height of drop W = 1.940 m
- Length of drop L9 = 0.000 m
(3) Change of water level due to sudden enlargement A8 / A9 fse
0.0 1.00
Dhse = hse + ( V92
/ 2g - V82
/ 2g ) 0.1 0.81
hse = fse V8 2 / 2g 0.2 0.64
0.3 0.49
where, 0.4 0.36
hse : Head loss due to sudden enlargement 0.5 0.25
fse : Head loss coefficient of sudden enlargement 0.6 0.16
(Refer to the right table) 0.7 0.09
0.8 0.04(a) Assumed Dhse Dhse = -0.018 m (rising) 0.9 0.01
1.0 0.00
(b) Before enlargement
- Width per channel b8 = 3.000 m
- Water depth h8 = 0.482 m
- Flow area A8 = 2.892 m
- Wetted perimeter P8 = 7.928 m
- Hydraulic radius R8 = 0.365 m
- Velocity V8 = 1.039 m/s
- Velocity head V82 / 2g = 0.055 m
(c) After enlargement
- Base elevation EL9 = 28.880 m = EL8 - W
- Width of channel b9 = 3.000 m
- Water depth h9 = 2.440 m = WL8 - EL9 - Dhse
- Flow area A9 = 14.640 m = N3 (b9 h9)
- Wetted perimeter P9 = 15.760 m = N3 (b9 + 2h9)
- Hydraulic radius R9 = 0.929 m = A9 / P9
- Velocity V9 = 0.205 m/s = Q / A9
- Velocity head V92 / 2g = 0.002 m
(d) Calculation of Dhse A8 / A9 = 0.20
fse = 0.64 (Refer to the table above)
hse = 0.035 m
\ Dhse = -0.018 m = Assumed Dhse OK
(4) Water level at beginning section of sedimentation channel
WL9 = 31.320 m = WL8 - Dhse
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10. Sedimentation Channel
(1) Design discharge and no. of channels
- Design discharge Q = 3.004 m3 /s
- Design discharge per channel Q3 = 1.502 m3 /s/channel
- No. of sedimentation channels N3 = 2 nos.
(2) Length and bed slope
- Length L10 = 35.000 m
- Bed slope I10 = 0.010000 = 1/100
(3) Change of water level due to friction
Dhf 10 = hf 10 + ( V102
/ 2g - V92
/ 2g )
hf 10 = ( n Vm10 / Rm102/3
)2
L10
where,
hf 10 : Head loss due to friction
Vm10 : Mean velocity Vm10 = ( V9 + V10 ) / 2
Rm10 : Mean hydraulic radius Rm10 = ( R9 + R10 ) / 2
(a) Assumed Dhf 10 Dhf 10 = -0.001 m (rising)
(b) End section of sedimentation channel
- Bed elevation EL10 = 28.530 m = EL9 - I10 L10
- Bed width b10 = 3.000 m
- Water depth h10 = 2.791 m = WL9 - EL10 - Dhf 10
- Flow area A10 = 16.746 m = N3 (b10 h10)
- Wetted perimeter P10 = 17.164 m = N3 (b10 + 2h10)
- Hydraulic radius R10 = 0.976 m = A10 / P10
- Velocity V10 = 0.179 m/s = Q / A10
- Velocity head V102 / 2g = 0.002 m
(c) Calculation of Dhf 10 Vm10 = 0.192 m/s
Rm10 = 0.953 m
hf 10 = 0.000 m
\ Dhf 10 = -0.001 m = Assumed Dhf 10 OK
(4) Water level at end section of sedimentation channel
WL10 = 31.321 m = WL9 - Dhf 10
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Hydraulic Calculation of Lanang IntakeIntake Water Level 31.550 m (Crest EL. )
Intake Discharge 3.605 m3 /s (120% of required intake discharge)
1. Design Conditions and Input Data
(1) Design discharge and no. of channels per one (1) settling basin
- Design intake discharge Qs = 3.605 m3 /s
- Design discharge per inlet flume channel or conduit barrel Q1 = 3.605 m3 /s/channel
- Design discharge per outlet flume channel Q2 = 3.605 m3 /s/barrel
- Design discharge per sedimentation channel Q3 = 1.802 m3 /s/channel
- Design discharge per approach flume channel Q4 = 3.605 m3 /s/channel
- No. of inlet flume channel or conduit barrels N1 = 1 nos.
- No. of outlet flume channels N2 = 1 nos.
- No. of sedimentation channels N3 = 2 nos.
- No. of approach flume channels N4 = 1 nos.
(2) Hydraulic conditions at beginning section (river)
- Water level in the river NWL WL0 = 31.550 m = (Crest EL.)
- Bed elevation in the river EL0 = 25.355 m
- Water depth in the river h0 = 6.195 m
- Velocity V0 = 0.000 m/s
- Roughness coefficient n = 1 / K = 0.015 (Concrete)
K = 65
- Acceleration of gravity g = 9.8 m/s2
(3) Dimensions in each section
Structure Bed EL. Width Length Nos. Thickness of No. of Bed slope
(m) (m) (m) partition wall (mpartition wall
Inlet flume
1 Beginning section 29.250 1.500 0.000 1 0.000 02 End section 29.250 1.500 3.000 1 0.000 0 LevelConduit (free flow) (Clear height 2.770 )
3 Beginning section 29.250 1.500 0.000 1 0.000 0
4 End section 29.250 1.500 13.600 1 0.000 0 Level
Outlet flume
5 Beginning section 29.250 1.500 0.000 1 0.000 05' Transition 29.250 1.500 0.000 1 0.000 0 Level
6 End section 29.250 1.500 72.600 1 0.000 0 Level
Settling basin
7 Inlet transition (E.P.) 30.820 6.300 11.000 1 0.000 0 Reverse
7' Inlet crest (B.P.) 30.820 3.000 0.000 2 0.300 1
8 Inlet crest (E.P.) 30.820 3.000 2.000 2 0.300 1 Level
9 Drop at beginning secti 28.880 3.000 0.000 2 0.300 1(Gap height 1.940 )
10 End section of 28.530 3.000 35.000 2 0.300 1 0.010000sedimentation channel (Gap height 2.330 )
(Broad crested weir) 30.860 3.000 0.000 2 0.300 1
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(4) Head loss factor
(a) Head loss coefficient at inlet
Shape of inlet Coefficient fi Shape of inlet : edge cut
square edge 0.5 fi = 0.25
edge cut 0.25
circular round 0.1
squared round 0.2
bell-mouth 0.01 - 0.05
(b) Head loss factor at trashrack
ItemHeight of trash a = min. (0.1h or 0.25m) h: upstream water depth
Unit weight of wetted trash ga = 200 kg/m3
Thickness of bar t = 0.01 m
Clear space between bars b = 0.150 m
Inclined angle of trash rack q = 90 deg.
(c) Head loss coefficient at open transition
Changing condition of Gradual contraction Gradual enlargement
open transition formation coefficient fgc coefficient fge
rectangular to rectangular 0.10 0.20
trapezoidal to trapezoidal 0.10 0.20rectangular to circular with fillet 0.20 0.30
trapezoidal to rectangular with twisted wall 0.20 0.30
trapezoidal to circular with twisted wall 0.30 0.40
trapezoidal to rectangular with bended wall 0.30 0.50
trapezoidal to circular with bended wall 0.40 0.70
Transition at B.P. of outlet flume Formation of open transition : Rectangular to rectangular
fgc = 0.10
Inlet transition of settling basin Formation of open transition : Rectangular to rectangularfge = 0.20
Outlet transition of settling basin Formation of open transition : Rectangular to rectangular
fgc = 0.10
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2. Inlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per inlet channel Q1 = 3.605 m3 /s/channel
- No. of inlet channels N1 = 1 nos.
(2) Hydraulic conditions at beginning section (river)- Water level WL0 = 31.550 m
- Base elevation EL0 = 25.355 m
- Water depth h0 = 6.195 m
- Velocity V0 = 0.000 m/s
- Velocity head V02 / 2g = 0.000 m
(3) Change of water level due to inflow
Dhi = hi + ( V12
/ 2g - V02
/ 2g )
hi = fi ( V12
/ 2g - V02
/ 2g )
where,
hi : Head loss due to inflowfi : Head loss coefficient at inlet fi = 0.25 (for edge cut)
(a) Assumed Dhi Dhi = 0.075 m
(b) Beginning section of inlet flume (after inflow)
- Base elevation EL1 = 29.250 m
- Width b1 = 1.500 m
- Water depth h1 = 2.225 m = WL0 - EL1 - Dhi
- Flow area A1 = 3.338 m = N1 (b1 h1)
- Wetted perimeter P1 = 5.950 m = N1 (b1 + 2h1)
- Hydraulic radius R1 = 0.561 m = A1 / P1
- Velocity V1 = 1.080 m/s = Q / A1
- Velocity head V12 / 2g = 0.060 m
(c) Calculation of hi and Dhi hi = 0.015 m
\ Dhi = 0.075 m = Assumed Dhi OK
(4) Water level at beginning section of inlet flume (after inflow)
WL1 = 31.475 m = WL0 - Dhi
(5) Length and bed slope of inlet flume
- Length L2 = 3.000 m
- Bed slope I2 = Level
(6) Change of water level due to friction
Dhf 2 = hf 2 + ( V22
/ 2g - V12
/ 2g )
hf 2 = ( n Vm2 / Rm22/3
)2
L2
where,
hf 2 : Head loss due to friction
Vm2 : Mean velocity Vm2 = ( V1 + V2 ) / 2
Rm2 : Mean hydraulic radius Rm2 = ( R1 + R2 ) / 2
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(a) Assumed Dhf 2 Dhf 2 = 0.002 m
(b) upstream section of trashrack
- Base elevation EL2 = 29.250 m
- Width b2 = 1.500 m
- Water depth h2 = 2.223 m = WL1 - EL2 - Dhf 2- Flow area A2 = 3.335 m = N1 (b2 h2)
- Wetted perimeter P2 = 5.946 m = N1 (b2 + 2h2)- Hydraulic radius R2 = 0.561 m = A2 / P2
- Velocity V2 = 1.081 m/s = Q / A1
- Velocity head V22 / 2g = 0.060 m
(c) Calculation of Dhf 2 Vm2 = 1.081 m/s
Rm2 = 0.561 m
hf 2 = 0.002 m
\ Dhf 2 = 0.002 m = Assumed Dhf 2 OK
(7) Water level at upstream section of trashrack
WL2 = 31.473 m = WL1 - Dhf 2
(8) Change of water level due to trashrack
Dht = ht + ( V2'2
/ 2g - V22
/ 2g )
where,
ht : Head loss due to trashrack ht = 6.69 sinq (t/b)4/3
exp(0.074 ga a/h2) V22 / 2g
(a) Head loss due to trashrack
- Water depth (u/s of trash rack) h2 = 2.223 m
- Velocity V2 = 1.081 m/s = Q / {N1 (h2 b2)}
- Velocity head V22 / 2g = 0.060 m
- Height of trash a = 0.200 m = min. (0.1h2 or 0.25m)
- Unit weight of wetted trash ga
= 200 kg/m3
- Thickness of bar t = 0.01 m
- Clear space between bars b = 0.150 m
- Inclined angle of trash rack q = 90 deg.
Head loss due to trashrack ht = 0.041 m
(b) Assumed Dht Dht = 0.043 m
(c) Downstream section of trashrack
- Base elevation EL2' = 29.250 m = EL2
- Width b2' = 1.500 m = b2
- Water depth h2' = 2.180 m = WL2 - EL2' - Dht
- Flow area A2' = 3.270 m = N1 (b2' h2')
- Wetted perimeter P2' = 5.860 m = N1 (b2' + 2h2')
- Hydraulic radius R2' = 0.558 m = A2' / P2'
- Velocity V2' = 1.102 m/s = Q / A2'
- Velocity head V2'2 / 2g = 0.062 m
(d) Calculation of Dht Dht = 0.043 m = Assumed Dht OK
(9) Water level at downstream section of trashrack
WL2' = 31.430 m = WL2 - Dht
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3. Conduit (Free flow)
(1) Design discharge and no. of barrels
- Design discharge Q = 3.605 m3 /s
- Design discharge per conduit barrels Q1 = 3.605 m3 /s/barrel
- No. of conduit barrels N1 = 1 nos.
(2) Change of water level due to sudden contraction A3 / A2' fsc0.0 0.50
Dhsc = hsc + ( V32
/ 2g - V2'2
/ 2g ) 0.1 0.48
hsc = fsc V32 / 2g 0.2 0.45
0.3 0.41
where, 0.4 0.36
hsc : Head loss due to sudden contraction 0.5 0.29
fsc : Head loss coefficient of sudden contraction 0.6 0.21
(Refer to the right table) 0.7 0.13
0.8 0.07(a) Assumed Dhsc Dhsc = 0.000 m 0.9 0.01
1.0 0.00
(b) Before contraction
- Width per channel b2' = 1.500 m
- Water depth h2' = 2.180 m
- Flow area A2' = 3.270 m
- Wetted perimeter P2' = 5.860 m
- Hydraulic radius R2' = 0.558 m
- Velocity V2' = 1.102 m/s
- Velocity head V2'2 / 2g = 0.062 m
(c) After contraction
- Base elevation EL3 = 29.250 m
- Width of channel b3 = 1.500 m Clear height hi= 2.770 m
- Water depth h3 = 2.180 m = WL2' - EL2' - Dhsc
- Flow area A3 = 3.270 m = N1 (b3 h3)- Wetted perimeter P3 = 5.860 m = N1 (b3 + 2h3)
- Hydraulic radius R3 = 0.558 m = A3 / P3
- Velocity V3 = 1.102 m/s = Q / A3
- Velocity head V32 / 2g = 0.062 m
(d) Calculation of Dhsc A3 / A2' = 1.00
fsc = 0.00 (Refer to the table above)
hsc = 0.000 m\ Dhsc = 0.000 m = Assumed Dhsc OK
(3) Water level at beginning section of conduit
WL3 = 31.430 m = WL2' - Dhsc
(4) Length and bed slope of conduit
- Length L4 = 13.600 m
- Bed slope I4 = Level
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(5) Change of water level due to friction
Dhf 4 = hf 4 + ( V42
/ 2g - V32
/ 2g )
hf 4 = ( n Vm4 / Rm42/3
)2
L4
where,
hf 4 : Head loss due to friction
Vm4 : Mean velocity Vm4 = ( V3 + V4 ) / 2
Rm4 : Mean hydraulic radius Rm4 = ( R3 + R4 ) / 2
(a) Assumed Dhf 4 Dhf 4 = 0.009 m
(b) Beginning section of conduit
- Base elevation EL3 = 29.250 m
- Width of channel b3 = 1.500 m
- Water depth h3 = 2.180 m
- Flow area A3 = 3.270 m
- Wetted perimeter P3 = 5.860 m
- Hydraulic radius R3 = 0.558 m
- Velocity V3 = 1.102 m/s
- Velocity head V32
/ 2g = 0.062 m
(c) End sections of conduit
- Base elevation EL4 = 29.250 m
- Width b4 = 1.500 m
- Water depth h4 = 2.171 m = WL3 - EL4 - Dhf 4- Flow area A4 = 3.257 m = N1 (b4 h4)
- Wetted perimeter P4 = 5.842 m = N1 (b4 + 2h4)
- Hydraulic radius R4 = 0.558 m = A4 / P4
- Velocity V4 = 1.107 m/s = Q / A4
- Velocity head V42 / 2g = 0.063 m
(d) Calculation of Dhf 4 Vm4 = 1.105 m/sRm4 = 0.558 m
hf 4 = 0.008 m
\ Dhf 4 = 0.009 m = Assumed Dhf 2 OK
(6) Water level at end section of conduit
WL4 = 31.421 m = WL3 - Dhf 4
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4. Beginning Section of Outlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per conduit barrel Q1 = 3.605 m3 /s/barrel
- Design discharge per flume channel Q2 = 3.605 m3 /s/channel
- No. of conduit barrels N1 = 1 nos.
- No. of flume channels N2 = 1 nos.
(2) Change of water level due to sudden enlargement A4 / A5 fse
0.0 1.00
Dhse = hse + ( V52
/ 2g - V42
/ 2g ) 0.1 0.81
hse = fse V4 2 / 2g 0.2 0.64
0.3 0.49
where, 0.4 0.36hse : Head loss due to sudden enlargement 0.5 0.25
fse : Head loss coefficient of sudden enlargement 0.6 0.16
(Refer to the right table) 0.7 0.09
0.8 0.04
(a) Assumed Dhse Dhse = 0.000 m 0.9 0.01
1.0 0.00(b) Before enlargement
- Width per channel b4 = 1.500 m
- Water depth h4 = 2.171 m
- Flow area A4 = 3.257 m
- Wetted perimeter P4 = 5.842 m
- Hydraulic radius R4 = 0.558 m
- Velocity V4 = 1.107 m/s
- Velocity head V42 / 2g = 0.063 m
(c) After enlargement
- Base elevation EL5 = 29.250 m
- Width of channel b5 = 1.500 m
- Water depth h5 = 2.171 m = WL4 - EL5 - Dhse
- Flow area A5 = 3.257 m = N2 (b5 h5)
- Wetted perimeter P5 = 5.842 m = N2 (b5 + 2h5)
- Hydraulic radius R5 = 0.558 m = A5 / P5
- Velocity V5 = 1.107 m/s = Q / A5
- Velocity head V52 / 2g = 0.063 m
(d) Calculation of Dhse A4 / A5 = 1.00
fse = 0.00 (Refer to the table above)
hse = 0.000 m
\ Dhse = 0.000 m = Assumed Dhse OK
(3) Water level at beginning section of outlet flume
WL5 = 31.421 m = WL4 - Dhse
5. Transition at Beginning Section of Outlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
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- Design discharge per flume channel Q2 = 3.605 m3 /s/channel
- No. of flume channels N2 = 1 nos.
(2) Length and bed slope
- Length L5' = 0.000 m
- Bed slope I5' = Level
(3) Change of water level due to gradual contraction
Dhgc = hgc + hf 5' + ( V5'2
/ 2g - V52
/ 2g )
hgc = fgc ( V5'2
/ 2g - V52
/ 2g )
hf 5' = ( n Vm5' / Rm5'2/3
)2
L5'
where,
hgc : Head loss due to gradual contraction
hf 5' : Head loss due to friction
Vm5' : Mean velocity Vm5' = ( V5 + V5' ) / 2
Rm5' : Mean hydraulic radius Rm5' = ( R5 + R5' ) / 2
fgc : Head loss coefficient of gradual contraction
fgc = 0.10 (for Rectangular to rectangular)
(a) Assumed Dhgc Dhgc = 0.000 m
(b) End section of inlet transition
- Bed elevation EL5' = 29.250 m
- Bed width b5' = 1.500 m
- Water depth h5' = 2.171 m = WL5 - EL5' - Dhgc
- Flow area A5' = 3.257 m = N2 (b5' h5')
- Wetted perimeter P5' = 5.842 m = N2 (b5' + 2h5')
- Hydraulic radius R5' = 0.558 m = A5' / P5'
- Velocity V5' = 1.107 m/s = Q / A5'
- Velocity head V5'2 / 2g = 0.063 m
(c) Calculation of Dhgc Vm5' = 1.107 m/s
Rm5' = 0.558 m
hf 5' = 0.000 m
hgc = 0.000 m
\ Dhgc = 0.000 m = Assumed Dhgc OK
(4) Water level at end section of inlet transition
WL5' = 31.421 m = WL5 - Dhgc
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6. End Section of Outlet Flume
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per flume channel Q2 = 3.605 m3 /s/channel
- No. of flume channels N2 = 1 nos.
(2) Length and bed slope
- Length L6 = 72.600 m
- Bed slope I6 = Level
(3) Change of water level due to friction
Dhf 6 = hf 6 + ( V62
/ 2g - V5'2
/ 2g )
hf 6 = ( n Vm6 / Rm62/3
)2
L6
where,
hf 6 : Head loss due to friction
Vm6 : Mean velocity Vm6 = ( V5' + V6 ) / 2
Rm6 : Mean hydraulic radius Rm6 = ( R5' + R6 ) / 2
(a) Assumed Dhf 6 Dhf 6 = 0.048 m
(b) End section of outlet flume
- Bed elevation EL6 = 29.250 m
- Bed width b6 = 1.500 m
- Water depth h6 = 2.123 m = WL5' - EL6 - Dhf 6- Flow area A6 = 3.185 m = N2 (b6 h6)
- Wetted perimeter P6 = 5.746 m = N2 (b6 + 2h6)
- Hydraulic radius R6 = 0.554 m = A6 / P6
- Velocity V6 = 1.132 m/s = Q / A6
- Velocity head V62 / 2g = 0.065 m
(c) Calculation of Dhf 6 Vm6 = 1.120 m/s
Rm6 = 0.556 m
hf 6 = 0.045 m
\ Dhf 6 = 0.048 m = Assumed Dhf 6 OK
(4) Water level at end section of outlet flume
(BP of settling basin)
WL6 = 31.373 m = WL5' - Dhf 6
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7. Inlet Transition of Settling Basin
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per flume channel Q2 = 3.605 m3 /s/channel
- No. of flume channels N2 = 1 nos.
(2) Length and bed slope
- Length L7 = 11.000 m
- Bed slope I7 = Reverse
(3) Change of water level due to gradual enlargement
Dhge = hge + hf 7 + ( V72
/ 2g - V62
/ 2g )
hge = fge ( V62
/ 2g - V72
/ 2g )
hf 7 = ( n Vm7 / Rm72/3
)2
L7
where,
hge : Head loss due to gradual enlargement
hf 7 : Head loss due to frictionVm7 : Mean velocity Vm7 = ( V6 + V7 ) / 2
Rm7 : Mean hydraulic radius Rm7 = ( R6 + R7 ) / 2
fge : Head loss coefficient of gradual enlargement
fge = 0.20 (for Rectangular to rectangular)
(a) Assumed Dhge Dhge = -0.002 m (rising)
(b) End section of inlet transition
- Bed elevation EL7 = 30.820 m
- Bed width b7 = 6.300 m
- Water depth h7 = 0.555 m = WL6 - EL7 - Dhge
- Flow area A7 = 3.497 m = N2 (b7 h7)
- Wetted perimeter P7 = 7.410 m = N2 (b7 + 2h7)- Hydraulic radius R7 = 0.472 m = A7 / P7
- Velocity V7 = 1.031 m/s = Q / A7
- Velocity head V72 / 2g = 0.054 m
(c) Calculation of Dhge Vm7 = 1.082 m/s
Rm7 = 0.513 m
hf 7 = 0.007 m
hge = 0.002 m
\ Dhge = -0.002 m = Assumed Dhge OK
(4) Water level at end section of inlet transition
WL7 = 31.375 m = WL6 - Dhge
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8. Inlet Crest
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per flume channel Q2 = 3.605 m3 /s/channel
- Design discharge per crest channel Q3 = 1.802 m3 /s/channel
- No. of flume channels N2 = 1 nos.
- No. of inlet crest channels N3 = 2 nos.
(2) Change of water level due to sudden contraction A7' / A7 fsc
0.0 0.50
Dhsc = hsc + ( V7'2
/ 2g - V7 2
/ 2g ) 0.1 0.48
hsc = fsc V7'2 / 2g 0.2 0.45
0.3 0.41
where, 0.4 0.36hsc : Head loss due to sudden contraction 0.5 0.29
fsc : Head loss coefficient of sudden contraction 0.6 0.21
(Refer to the right table) 0.7 0.13
0.8 0.07
(a) Assumed Dhsc Dhsc = 0.009 m 0.9 0.01
1.0 0.00(b) Before contraction
- Width per channel b7 = 6.300 m
- Water depth h7 = 0.555 m
- Flow area A7 = 3.497 m
- Wetted perimeter P7 = 7.410 m
- Hydraulic radius R7 = 0.472 m
- Velocity V7 = 1.031 m/s
- Velocity head V72 / 2g = 0.054 m
(c) After contraction
- Base elevation EL7' = 30.820 m
- Width of channel b7' = 3.000 m
- Water depth h7' = 0.546 m = WL7 - EL7' - Dhsc
- Flow area A7' = 3.276 m = N3 (b7' h7')
- Wetted perimeter P7' = 8.184 m = N3 (b7' + 2h7')
- Hydraulic radius R7' = 0.400 m = A7' / P7'
- Velocity V7' = 1.100 m/s = Q / A7'
- Velocity head V7'2 / 2g = 0.062 m
(d) Calculation of Dhsc A7' / A7 = 0.94
fsc = 0.01 (Refer to the table above)
hsc = 0.001 m
\ Dhsc = 0.009 m = Assumed Dhsc OK
(3) Water level at beginning section of inlet crest
WL7' = 31.366 m = WL7 - Dhsc
(4) Length and bed slope
- Length L8 = 2.000 m
- Bed slope I8 = Level
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(5) Change of water level due to friction
Dhf 8 = hf 8 + ( V82
/ 2g - V7'2
/ 2g )
hf 8 = ( n Vm8 / Rm82/3
)2
L8
where,
hf 8 : Head loss due to friction
Vm8 : Mean velocity Vm8 = ( V7' + V8 ) / 2
Rm8 : Mean hydraulic radius Rm8 = ( R7' + R8 ) / 2
(a) Assumed Dhf 8 Dhf 8 = 0.003 m
(b) Beginning section of inlet crest
- Base elevation EL7' = 30.820 m
- Width of channel b7' = 3.000 m
- Water depth h7' = 0.546 m
- Flow area A7' = 3.276 m
- Wetted perimeter P7' = 8.184 m
- Hydraulic radius R7' = 0.400 m
- Velocity V7' = 1.100 m/s
- Velocity head V7'2
/ 2g = 0.062 m
(c) End sections of inlet crest
- Base elevation EL8 = 30.820 m
- Width b8 = 3.000 m
- Water depth h8 = 0.543 m = WL7' - EL8 - Dhf 8- Flow area A8 = 3.258 m = N3 (b8 h8)
- Wetted perimeter P8 = 8.172 m = N3 (b8 + 2h8)
- Hydraulic radius R8 = 0.399 m = A8 / P8
- Velocity V8 = 1.106 m/s = Q / A8
- Velocity head V82 / 2g = 0.062 m
(d) Calculation of Dhf 8 Vm8 = 1.103 m/sRm8 = 0.400 m
hf 8 = 0.002 m
\ Dhf 8 = 0.003 m = Assumed Dhf 8 OK
(6) Water level at end section of inlet crest
WL8 = 31.363 m = WL7' - Dhf 8
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9. Drop at Beginning Section of Sedimentation Channel
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per channel Q3 = 1.802 m3 /s/channel
- No. of sedimentation channels N3 = 2 nos.
(2) Height and length of drop
- Height of drop W = 1.940 m
- Length of drop L9 = 0.000 m
(3) Change of water level due to sudden enlargement A8 / A9 fse
0.0 1.00
Dhse = hse + ( V92
/ 2g - V82
/ 2g ) 0.1 0.81
hse = fse V8 2 / 2g 0.2 0.64
0.3 0.49
where, 0.4 0.36
hse : Head loss due to sudden enlargement 0.5 0.25
fse : Head loss coefficient of sudden enlargement 0.6 0.16
(Refer to the right table) 0.7 0.09
0.8 0.04(a) Assumed Dhse Dhse = -0.021 m (rising) 0.9 0.01
1.0 0.00
(b) Before enlargement
- Width per channel b8 = 3.000 m
- Water depth h8 = 0.543 m
- Flow area A8 = 3.258 m
- Wetted perimeter P8 = 8.172 m
- Hydraulic radius R8 = 0.399 m
- Velocity V8 = 1.106 m/s
- Velocity head V82 / 2g = 0.062 m
(c) After enlargement
- Base elevation EL9 = 28.880 m = EL8 - W
- Width of channel b9 = 3.000 m
- Water depth h9 = 2.504 m = WL8 - EL9 - Dhse
- Flow area A9 = 15.024 m = N3 (b9 h9)
- Wetted perimeter P9 = 16.016 m = N3 (b9 + 2h9)
- Hydraulic radius R9 = 0.938 m = A9 / P9
- Velocity V9 = 0.240 m/s = Q / A9
- Velocity head V92 / 2g = 0.003 m
(d) Calculation of Dhse A8 / A9 = 0.22
fse = 0.61 (Refer to the table above)
hse = 0.038 m
\ Dhse = -0.021 m = Assumed Dhse OK
(4) Water level at beginning section of sedimentation channel
WL9 = 31.384 m = WL8 - Dhse
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10. Sedimentation Channel
(1) Design discharge and no. of channels
- Design discharge Q = 3.605 m3 /s
- Design discharge per channel Q3 = 1.802 m3 /s/channel
- No. of sedimentation channels N3 = 2 nos.
(2) Length and bed slope
- Length L10 = 35.000 m
- Bed slope I10 = 0.010000 = 1/100
(3) Change of water level due to friction
Dhf 10 = hf 10 + ( V102
/ 2g - V92
/ 2g )
hf 10 = ( n Vm10 / Rm102/3
)2
L10
where,
hf 10 : Head loss due to friction
Vm10 : Mean velocity Vm10 = ( V9 + V10 ) / 2
Rm10 : Mean hydraulic radius Rm10 = ( R9 + R10 ) / 2
(a) Assumed Dhf 10 Dhf 10 = -0.001 m (rising)
(b) End section of sedimentation channel
- Bed elevation EL10 = 28.530 m = EL9 - I10 L10
- Bed width b10 = 3.000 m
- Water depth h10 = 2.855 m = WL9 - EL10 - Dhf 10
- Flow area A10 = 17.130 m = N3 (b10 h10)
- Wetted perimeter P10 = 17.420 m = N3 (b10 + 2h10)
- Hydraulic radius R10 = 0.983 m = A10 / P10
- Velocity V10 = 0.210 m/s = Q / A10
- Velocity head V102 / 2g = 0.002 m
(c) Calculation of Dhf 10 Vm10 = 0.225 m/s
Rm10 = 0.961 m
hf 10 = 0.000 m
\ Dhf 10 = -0.001 m = Assumed Dhf 10 OK
(4) Water level at end section of sedimentation channel
WL10 = 31.385 m = WL9 - Dhf 10