Issn: 2350-0328 I nternational j ournal of



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Bog'liq
03-adilbek-13

II. METHODS 
 
The use of the equations of unsteady water movement to determine the operating modes of the canal section for the 
implementation of the given planned modes creates certain difficulties in preparing the initial information, initial and 
boundary conditions for the system of these equations. 
Therefore, to set the initial conditions, we can use the equation of the steady-state uneven water movement in the 
sections of the Karshi main canal. The operating modes of the canal sections are determined on the basis of the 
specified water flow rates of the side branches and the water level in the end sections of the canal sections, i.e. water 
levels in the downstream and upstream of pumping stations, and these modes are considered constant throughout for a 
decade. 
Based on the condition that the variable parameters remain constant over time, i.e. in the equations of unsteady water 
movement in the sections of the canal, the partial derivatives in time are equal to zero and taking into account that the 
canal bed is prismatic, we obtain the following system of equations for the uneven movement of water on the supply 
canal to the PS-1 [6,7]. 
d Q
q
d x

,
(1) 
2
0
Q Q
Q
dz
dP
d
g
F
dx
dx
dx
K











 












,
(2) 
Lateral outflows are lumped or distributed. Lateral outflow structures are considered as concentrated outflows, and 
losses for filtration and evaporation are considered for distributed outflows. 
Lateral outflows are set as follows [1,2,8,16] 
1
( , )
( , )
( , )
(
) (
)
N
f
i
n
a
n
n
q x h
q
x h
q x h
q h
x
a








(3) 
where, 
( , )
f
q
x h

( , )
i
q x h
is the intensity of losses due to filtration and evaporation, 
(
)
n
a
q h
is the flow rate of water at 
the 
n
side outlet, 
(
)
n
x a
 
is the delta function characterizing the location of the outlet of water consumers along the 
length of the canal section, 
n
a
is the distance to the 
n
side outlet. 
The flow rate and water level at the end of the canal section are set as the initial conditions [3,4, 9, 14] 



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