GEO_geometry_aprism(): Area of a prismatic open-channel

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Calculate the area of a prismatic open-channel .

©WETpython, 2015

\begin{equation} A = y \times(B + m_l\times y\times 0.5 + m_r\times y\times 0.5) \end{equation}  
This equation is a applied to trapezoidal, triangular a rectangular sections:

for a trapezoidal section: $B \not= 0, m_l \not= 0, m_r \not= 0$

for a triangular section: $B = 0$

for a rectangular section: $m_l = m_r = 0$

Module: Geometry

Function: GEO_geometry_aprism(y, b, ml, mr)

Parameters:

• y, flow height, m;
• b, channel bottom , m;
• ml, slope of left embankment (1/ml);
• mr, slope of right embankment (1/ml)

Sample code:

from Geometry import *

y = 0.75 #(m)
b = 1.5 #(m)
ml = 1.5
mr = 3

area = GEO_geometry_aprism(y, b, ml, mr)
print ("Area:", area,"m2")

Result:

Area: 2.390625 m2