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# 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
â€¢ 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
â€¦â€¦â€¦..4.5
Module 4
Page 3

Lecture 2: Kinematic overland flow
routing
Module 4
â€¢ 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
â€¦â€¦â€¦..4.5
Module 4
â€¢ Henderson (1966) normalized momentum Eq. 4.4 in the form of
Governing equations
â€¦â€¦â€¦..4.6
Less than one, than the equation will represent
Kinematic flow
where Qo=flow under uniform
condition
Hence, for the kinematic flow condition,
QËœQ
o
â€¦â€¦â€¦..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
â€¢ 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
â€¦â€¦â€¦..4.5
Module 4
â€¢ Henderson (1966) normalized momentum Eq. 4.4 in the form of
Governing equations
â€¦â€¦â€¦..4.6
Less than one, than the equation will represent
Kinematic flow
where Qo=flow under uniform
condition
Hence, for the kinematic flow condition,
QËœQ
o
â€¦â€¦â€¦..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
â€¢ 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
â€¦â€¦â€¦..4.8
Kinematic routing methods
Module 4
10
2
= =
yFr
L S
k
o
10
2
= =
v
Lg S
k
o
Governing equations                                                     Contdâ€¦
Page 5

Lecture 2: Kinematic overland flow
routing
Module 4
â€¢ 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
â€¦â€¦â€¦..4.5
Module 4
â€¢ Henderson (1966) normalized momentum Eq. 4.4 in the form of
Governing equations
â€¦â€¦â€¦..4.6
Less than one, than the equation will represent
Kinematic flow
where Qo=flow under uniform
condition
Hence, for the kinematic flow condition,
QËœQ
o
â€¦â€¦â€¦..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
â€¢ 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
â€¦â€¦â€¦..4.8
Kinematic routing methods
Module 4
10
2
= =
yFr
L S
k
o
10
2
= =
v
Lg S
k
o
Governing equations                                                     Contdâ€¦
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                                                     Contdâ€¦
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