flow routing techniques
TRANSCRIPT
-
8/9/2019 Flow Routing Techniques
1/17
FLOWROUTING
TECHNIQUES
1
-
8/9/2019 Flow Routing Techniques
2/17
Flow Routing Techniques1.Channel Routinga. Muskingum Method
b. Reservoir Routing
2.Hydraulic Routing
a. St. Venant Equations
b. umerical Solutions
-
8/9/2019 Flow Routing Techniques
3/17
Flow Routing! p oce!u e to determine
the ti"e #n! "#gnitu!e o" #o$
at a %oint on a w#te cou se$
&
!%%lications'(lood #o$ analysis
(lood Control )esign(lood (orecasting*ater Conveyance
Systems+eak (lo$ Estimation
," the #o$ is a #ood-
the %rocedure is kno$nas #ood routing.
-
8/9/2019 Flow Routing Techniques
4/17
1. Channel Routing
-
8/9/2019 Flow Routing Techniques
5/17
a. M/S0, /M ME H3)
CH%NNEL ROUTING4
S5 storage ,5 in%ut 35 out%ut0 6time constant "or storage coe7cient85 $eighing "actor 9:;8;:.4<
* e d g e s t o r a g e
+ r i s m s t o r a g e
i n # o $
o u t # o $
-
8/9/2019 Flow Routing Techniques
6/17
a. M/S0, /M ME H3)&e i'#tion o( )us*ingu" Equ#tion:
at t = t 2 - S 2 = 0 >8 , 2 ? 91 5 88 , 1 ? 91 5 8
-
8/9/2019 Flow Routing Techniques
7/17
a. M/S0, /M ME H3)
CH%NNEL ROUTINGD
-
8/9/2019 Flow Routing Techniques
8/17
a. M/S0, /M ME H3)+ oce!u e:,$ -nowing - #n! ./ select #n #pp op i#te'#lue o( 0t$
1$C#lcul#te outing coe2cients 3#se! on 0t/-/ .$
4$C#lcul#te the out5ow h6! og #ph usingthe )us*ingu" outing equ#tion with t7,#n! t 8no$ o( ti"e steps$
CH%NNEL ROUTING
C3 C1 C2
-
8/9/2019 Flow Routing Techniques
9/17
E9#"ple:
a. M/S0, /M ME H3)
CH%NNEL ROUTINGF
iven 9kno$ns
-
8/9/2019 Flow Routing Techniques
10/17
b. RESERV3,R R3/ ,
CH%NNEL ROUTING1:
!lso kno$n as storage routing +rocedure "or calculating the out#o$hydrogra%h "rom a reservoir $ith ahori ontal $ater sur"ace (lo$ o" #ood $aves "rom rivers streamskee%s on changing the head o" $ater inthe reservoir h = h9t<
-
8/9/2019 Flow Routing Techniques
11/17
b. RESERV3,R R3/ ,
CH%NNEL ROUTING11
,n%ut data needed "or storage routinginclude the in#o$ hydrogra%h andreservoir characteristics9storage and outlet "acilities<
-
8/9/2019 Flow Routing Techniques
12/17
2. Hydraulic Routinga. St. Venant Equation
I5 discharge in channel!5 area o" #o$ in the channel
12
0 xQ
t
A
EquatiContinuity
=∂∂+∂
∂
0 xQ
t
A
EquatiContinuity
=∂∂+∂
∂
-
8/9/2019 Flow Routing Techniques
13/17
2. Hydraulic Routinga. St. Venant Equation
I5 discharge in channel!5 area o" #o$ in the channelS : 6 bed slo%eS " 6 Jction slo%e o" channel
1&
( ) 0S-Sg-xy
gA
QxA
1
tQ
A1
:EquationMomentum
f o
2
=∂∂+
∂∂+
∂∂
Kinematic wave
Diffusion waveDynamic wave
( ) 0S-Sg-xy
gA
QxA
1
tQ
A1
:EquationMomentum
f o
2
=∂∂+
∂∂+
∂∂
Kinematic wave
Diffusion waveDynamic wave
-
8/9/2019 Flow Routing Techniques
14/17
2. Hydraulic Routinga. St. Venant Equation
0inematic *aves he kinematic $ave method assumes that
the motion o" the hydrogra%h along thechannel is controlled mostly by gravity and
"riction "orces. here"ore- uni"orm #o$ isassumed to take %lace.
1
-
8/9/2019 Flow Routing Techniques
15/17
2. Hydraulic Routinga. St. Venant Equation
)iKusion $avea. )iKusion $ave routing is accom%lished bycombining and solving equations. ManningLsequation is used to estimate the "riction slo%eS " . here"ore- the channel must be describedas a series o" cross sections that adequatelydescribe the hydraulic character o" the entire#o$ %ath- including slo%e- geometry- androughness
14
-
8/9/2019 Flow Routing Techniques
16/17
2. Hydraulic Routing
1A
!ssum%tions "or St. Venant
Equations• (lo$ is one5dimensional• Hydrostatic %ressure %revails and
vertical accelerations are negligible• Streamline curvature is small.• ottom slo%e o" the channel is small.• ManningLs equation is used to
describe resistance eKects• he #uid is incom%ressible
-
8/9/2019 Flow Routing Techniques
17/17
Sources'!%%lied Hydrology by Cho$+ro". , Eldho- )e%t. o" CivilEngineering- ,, ombayHydrogra%h Routing- )e%artment o"
eoscience- /niversity o" evada GasVegas
1D