Hydraulic routing Notes | EduRev

: Hydraulic routing Notes | EduRev

 Page 1


Lecture 4: Hydraulic routing
Module 5
Page 2


Lecture 4: Hydraulic routing
Module 5
Hydraulic/Distributed flow routing
? Flow is calculated as a function of space and time throughout the system
? Hydraulic methods use continuity  and momentum equation along with the 
equation of motion of unsteady flow (St. Venant equations). 
? St. Venant Equations  (Refer to Module  6 for more details)
? Kinematic wave routing
? Diffusion wave routing
? Muskingum-Cunge method
? Dynamic wave routing
Module 5
Page 3


Lecture 4: Hydraulic routing
Module 5
Hydraulic/Distributed flow routing
? Flow is calculated as a function of space and time throughout the system
? Hydraulic methods use continuity  and momentum equation along with the 
equation of motion of unsteady flow (St. Venant equations). 
? St. Venant Equations  (Refer to Module  6 for more details)
? Kinematic wave routing
? Diffusion wave routing
? Muskingum-Cunge method
? Dynamic wave routing
Module 5
It is the relationship between the Muskingum method and the Saint-Venant equations.
Inflow-Outflow Equation: 
The constants C
0
, C
1
and C
2
are functions of wave celerity, c.
Q ?discharge and y ? depth of flow
Muskingum-Cunge method 
Diffusion wave routing
Module 5
,
dy
dA
dy
dQ
dA
dQ
c = =
t
O
I I
O
2 1 0
C C C
t t t
t t
+ + =
? +
? +
Page 4


Lecture 4: Hydraulic routing
Module 5
Hydraulic/Distributed flow routing
? Flow is calculated as a function of space and time throughout the system
? Hydraulic methods use continuity  and momentum equation along with the 
equation of motion of unsteady flow (St. Venant equations). 
? St. Venant Equations  (Refer to Module  6 for more details)
? Kinematic wave routing
? Diffusion wave routing
? Muskingum-Cunge method
? Dynamic wave routing
Module 5
It is the relationship between the Muskingum method and the Saint-Venant equations.
Inflow-Outflow Equation: 
The constants C
0
, C
1
and C
2
are functions of wave celerity, c.
Q ?discharge and y ? depth of flow
Muskingum-Cunge method 
Diffusion wave routing
Module 5
,
dy
dA
dy
dQ
dA
dQ
c = =
t
O
I I
O
2 1 0
C C C
t t t
t t
+ + =
? +
? +
   where,
Q
0
= Reference discharge,
S
0
= Reach Slope,
Q
B
= Baseflow
Q
p
= Peak flow taken from the inflow hydrograph
Module 5
Muskingum-Cunge method                                                            Contd… 
Diffusion wave routing
?
?
?
?
?
?
?
?
?
- =
x S T c
Q
X
* * *
1
2
1
0
0
( )
B p B
Q Q Q Q - + = 50 . 0
0
Page 5


Lecture 4: Hydraulic routing
Module 5
Hydraulic/Distributed flow routing
? Flow is calculated as a function of space and time throughout the system
? Hydraulic methods use continuity  and momentum equation along with the 
equation of motion of unsteady flow (St. Venant equations). 
? St. Venant Equations  (Refer to Module  6 for more details)
? Kinematic wave routing
? Diffusion wave routing
? Muskingum-Cunge method
? Dynamic wave routing
Module 5
It is the relationship between the Muskingum method and the Saint-Venant equations.
Inflow-Outflow Equation: 
The constants C
0
, C
1
and C
2
are functions of wave celerity, c.
Q ?discharge and y ? depth of flow
Muskingum-Cunge method 
Diffusion wave routing
Module 5
,
dy
dA
dy
dQ
dA
dQ
c = =
t
O
I I
O
2 1 0
C C C
t t t
t t
+ + =
? +
? +
   where,
Q
0
= Reference discharge,
S
0
= Reach Slope,
Q
B
= Baseflow
Q
p
= Peak flow taken from the inflow hydrograph
Module 5
Muskingum-Cunge method                                                            Contd… 
Diffusion wave routing
?
?
?
?
?
?
?
?
?
- =
x S T c
Q
X
* * *
1
2
1
0
0
( )
B p B
Q Q Q Q - + = 50 . 0
0
Dynamic Wave Routing
Flow in natural channels is unsteady, non-uniform with junctions, tributaries,
variable cross-sections, variable resistances, variable depths, etc. The complete
St.Venant equation represents the dynamic wave routing. (Refer to Module 6 for more
details)
Valley 
storage
Prism
storage
Wedge
storage
Non-conservative 
form of continuity 
equation
Module 5
?
?
?
?
?
?
?
?
+
?
?
?
?
?
?
?
?
+
?
?
=
x
y
V
x
V
y
t
y
0
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