from scipy.optimize import root
def manningC(d, args):
Q, w,h,sSlopeL,sSlopeR,nMann,lSlope = args
#left side slope can be different from right side slope
area = ((((d*sSlopeL)+(d*sSlopeR)+w)+w)/2)*d
# wet perimeter
wPer = w+(d*(sSlopeL*sSlopeL+1)**0.5)+(d*(sSlopeR*sSlopeR+1)**0.5)
#Hydraulic Radius
hR = area/ wPer
# following formula must be zero
# manipulation of Manning's formula
mannR = (Q*nMann/lSlope**0.5)-(area*hR**(2.0/3.0))
return mannR
###### MAIN CODE
# the following are input data to our open channel manning calculation
# flow, width, height, left side slope, right side slope,
# Manning coefficient, longitudinal slope
args0 = [2.5,2,.5,1.0,1.0,.015,.005]
initD = .00001 # initial water depth value
# then we call the root scipy function to the manningC
sol =root(manningC,initD, args=(args0,))
# print the root found
print(sol.x)
Python programming, with examples in hydraulic engineering and in hydrology.
Showing posts with label channel. Show all posts
Showing posts with label channel. Show all posts
Wednesday, May 2, 2018
Solve Manning's Equation with Python Scipy library
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