Kinematic overland flow routing Notes | EduRev

: Kinematic overland flow routing Notes | EduRev

 Page 1


Lecture 2: Kinematic overland flow 
routing
Module 4
Page 2


Lecture 2: Kinematic overland flow 
routing
Module 4
• For the conditions of kinematic flow, and with no appreciable backwater effect, 
the discharge can be described as a function of area only, for all x and t;
Q= a · A
m
where,
Q= discharge in cfs
A= cross-sectional area
a , m = kinematic wave routing parameters
Kinematic overland flow routing
………..4.5
Module 4
Page 3


Lecture 2: Kinematic overland flow 
routing
Module 4
• For the conditions of kinematic flow, and with no appreciable backwater effect, 
the discharge can be described as a function of area only, for all x and t;
Q= a · A
m
where,
Q= discharge in cfs
A= cross-sectional area
a , m = kinematic wave routing parameters
Kinematic overland flow routing
………..4.5
Module 4
• Henderson (1966) normalized momentum Eq. 4.4 in the form of 
Governing equations
………..4.6
Less than one, than the equation will represent 
Kinematic flow
where Qo=flow under uniform 
condition
Hence, for the kinematic flow condition,
Q˜Q
o
………..4.7
Kinematic routing methods                                                 
Module 4
2
1
1 1
1
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
+
?
?
+
?
?
+
?
?
- =
gy
qv
t g
v
x g
v v
x
y
S
Q Q
o
o
Page 4


Lecture 2: Kinematic overland flow 
routing
Module 4
• For the conditions of kinematic flow, and with no appreciable backwater effect, 
the discharge can be described as a function of area only, for all x and t;
Q= a · A
m
where,
Q= discharge in cfs
A= cross-sectional area
a , m = kinematic wave routing parameters
Kinematic overland flow routing
………..4.5
Module 4
• Henderson (1966) normalized momentum Eq. 4.4 in the form of 
Governing equations
………..4.6
Less than one, than the equation will represent 
Kinematic flow
where Qo=flow under uniform 
condition
Hence, for the kinematic flow condition,
Q˜Q
o
………..4.7
Kinematic routing methods                                                 
Module 4
2
1
1 1
1
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
+
?
?
+
?
?
+
?
?
- =
gy
qv
t g
v
x g
v v
x
y
S
Q Q
o
o
• Woolhiser and Liggett (1967) analyzed characteristics of the rising overland 
flow hydrograph and found that the dynamic terms can generally be 
neglected if,
or
where, 
L= length of the plane
Fr= Froude number
y= depth at the end of the plane
S
0
= slope
k= dimensionless kinematic flow number
………..4.8
Kinematic routing methods                                                   
Module 4
10
2
= =
yFr
L S
k
o
10
2
= =
v
Lg S
k
o
Governing equations                                                     Contd…
Page 5


Lecture 2: Kinematic overland flow 
routing
Module 4
• For the conditions of kinematic flow, and with no appreciable backwater effect, 
the discharge can be described as a function of area only, for all x and t;
Q= a · A
m
where,
Q= discharge in cfs
A= cross-sectional area
a , m = kinematic wave routing parameters
Kinematic overland flow routing
………..4.5
Module 4
• Henderson (1966) normalized momentum Eq. 4.4 in the form of 
Governing equations
………..4.6
Less than one, than the equation will represent 
Kinematic flow
where Qo=flow under uniform 
condition
Hence, for the kinematic flow condition,
Q˜Q
o
………..4.7
Kinematic routing methods                                                 
Module 4
2
1
1 1
1
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
+
?
?
+
?
?
+
?
?
- =
gy
qv
t g
v
x g
v v
x
y
S
Q Q
o
o
• Woolhiser and Liggett (1967) analyzed characteristics of the rising overland 
flow hydrograph and found that the dynamic terms can generally be 
neglected if,
or
where, 
L= length of the plane
Fr= Froude number
y= depth at the end of the plane
S
0
= slope
k= dimensionless kinematic flow number
………..4.8
Kinematic routing methods                                                   
Module 4
10
2
= =
yFr
L S
k
o
10
2
= =
v
Lg S
k
o
Governing equations                                                     Contd…
Q
*
is the dimensionless flow v/s t
*
(dimensionless time) for varies values of k in 
Eq. 8. It can be seen that for k=10, large errors in calculation of Q
*
result by 
deleting dynamic terms from the momentum Eq. for overland flow
Effect of kinematic 
wave number k on the 
rising hydrograph
Module 4
Kinematic routing methods                                                   
Governing equations                                                     Contd…
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