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Symbol | Definition | Sample Value | |||
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| 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 |
Linear Proportionality
Latex |
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Wiki Markup |
{latex} $$ C_{linear} $$ {latex} |
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y = the profile of the curved portion of the weir, cm
x = corresponds to the the vertical height of weir from -s_base to
Wiki Markup |
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Latex |
{latex} $$ H_{dmax} - {2 \over 3} s_{base} $$ {latex} |
Y-axis of the graph
Latex |
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Wiki Markup |
{latex} $$ H_d $$ {latex} |
Sutro Weir Graph: Illustrates the shape of the weir.
Y-axis =
Wiki Markup |
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Latex |
{latex} $$ H_d $$ {latex} |
X-axis = y
The height of the rectangular base
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The flow through the rectangular base
Latex |
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Wiki Markup |
{latex} $$ Q_{base} $$ {latex} |
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- vertical velocity of the water from any height when it reaches the bottom of the weir
Wiki Markup Latex {latex} $$ V_v = \sqrt {2g (x + s_{base})} $$ {latex}
- velocity through the weir in the vena contracta (point in a fluid stream where the diameter of the stream is the least)
Wiki Markup Latex {latex} $$ V_{vc} = \sqrt {2g (h - x)} $$ {latex}
- Effective area of a differential weir element as a function of height given the effect of the vena contracta
, y is the width of the cruved portion of the weir and it is dependent onWiki Markup Latex {latex} $$ A = C_{d} 2 y $$ {latex}
,Wiki Markup Latex {latex} $$ H_{dmax} $$ {latex}
and, x (the incremental height up the weir)Wiki Markup Latex {latex} $$ Q_{max} $$ {latex}
Latex |
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Wiki Markup |
{latex} $$ M_{in} $$ {latex} |
Latex |
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Wiki Markup |
{latex} $$ \rho $$ {latex} |
g = gravity 9.81 m/s^2
Exit Velocity of the Sutro Weir
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Wiki Markup |
{latex} $$ V_{out} $$ {latex} |
Latex |
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Wiki Markup |
{latex} $$ \Pi_{sutrosafety} $$ {latex} |
Minimum Area of Riser Pipe
Latex |
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Wiki Markup |
{latex} $$ A_{pipemin} $$ {latex} |
The Diameter of the Riser Pipe
Latex |
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Wiki Markup |
{latex} $$ d_{pipemin} $$ {latex} |
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