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.
Wednesday, May 2, 2018
Solve Manning's Equation with Python Scipy library
Subscribe to:
Post Comments (Atom)
No comments:
Post a Comment