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Linear Flow Orifice Meter Sutro Weir Design Documentation

Mathcad Code

the mathcad code can be found here. You will need to have mathcad installed on your computer in order to open the file.

Documentation

Note : The values used in this documentation are not static and do not correlate to actual design parameters.

Inputs

Inputs are the data that must be entereed by the user in order to design the sutro weir for the specific application. The mathcad inputs are shown below

Unknown macro: {latex}

$$ Q_

Unknown macro: {max}

$$

= maximum flow through sutro wier, L/min

Unknown macro: {latex}

$$ H_

Unknown macro: {dmax}

$$

= the set height of the curved portion of the wier, cm

Unknown macro: {latex}

$$ C_d $$

= proportionality constant, the average value is 0.62

Unknown macro: {latex}

$$ \Pi_

Unknown macro: {sutro}

= {Q_

Unknown macro: {min}

\over Q_{max}} $$

= fraction of Qmax that is equal to Qmin, accounts for the fact that the linear region doesn't include the rectangular base

Unknown macro: {latex}

$$ \Pi_

Unknown macro: {Qratio}

$$

=

Unknown macro: {latex}

$$ \Pi_

Unknown macro: {sutro}

$$

= the use of two variables is just makes it easier to follow in the code.

Linear Proportionality

Unknown macro: {latex}

$$ C_

Unknown macro: {linear}

$$

= linear proportionality, L/min/cm

Rectangular Base Width


W = rectangular base width, cm
g = gravity, 9.8 m/s^2

Rectangular Base Height


s = rectangular base height, cm

Profile of curved portion of weir


y = the profile of the curved portion of the weir, cm
x = corresponds to the the vertical height of weir from -s to

Unknown macro: {latex}

$$ H_

Unknown macro: {dmax}

-

Unknown macro: {2 over 3}

s $$

, cm

Y-axis of the graph

Unknown macro: {latex}

$$ H_d $$

= this is the vairable that corresponds to the height of the entire weir from the bottom of the rectangular base to the top of the curved portion of the weir, cm

Sutro Weir Graph: Illustrates the shape of the weir.


Y-axis =

Unknown macro: {latex}

$$ H_d $$

X-axis = y

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