the mathcad code can be found here. You will need to have mathcad installed on your computer in order to open the file.
This program creates a sutro weir design and is used to calulcate the optimal LFOM diameter.
Note : The values used in this documentation are not static the user can change the inputs.
Inputs are the data that must be entereed by the user in order to design the sutro weir for the specific application.
Inputs
Symbol |
Definition |
Sample Value |
|
---|---|---|---|
|
maximum flow through sutro wier, L/min |
400 L/min |
|
|
the set height of the curved portion of the wier, cm |
20 cm |
|
|
the ratio of the minimum over the maximumflow given that the linear region doesn't include the rectabgular base |
0.01 |
|
|
proportionality constant |
0.62 |
$$ C_{linear} $$ |
W = rectangular base width, cm
g = gravity, 9.8 m/s^2
s_base = rectangular base height, cm
y = the profile of the curved portion of the weir, cm
x = corresponds to the the vertical height of weir from -s_base to
$$ H_{dmax} - {2 \over 3} s_{base} $$ |
$$ H_d $$ |
Y-axis =
$$ H_d $$ |
s_base = rectangular base height, cm
$$ Q_{base} $$ |
If the riser pipe diameter is too small for the flow rate then the water will back up in the bottom of the pipe and the water entering the weir won't experience free fall anymore. Balance of momentum in and out helps us achieve these values.Background for the development of the minimum cross sectional area equation are the equations below:
$$ V_v = \sqrt {2g (x + s_{base})} $$ |
$$ V_{vc} = \sqrt {2g (h - x)} $$ |
$$ A = C_{d} 2 y $$ |
$$ H_{dmax} $$ |
$$ Q_{max} $$ |
$$ M_{in} $$ |
$$ \rho $$ |
$$ V_{out} $$ |
$$ \Pi_{sutrosafety} $$ |
$$ A_{pipemin} $$ |
$$ d_{pipemin} $$ |