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{latex} $$ Q_{max} $$ {latex}

{latex} $$ H_{dmax} $$ {latex}

{latex} $$ \Pi_{sutro} = {Q_{min} \over Q_{max}} $$ {latex}

{latex} $$ C_d $$ {latex}

Linear Proportionality

{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

{latex} $$ H_{dmax} - {2 \over 3} s_{base} $$ {latex}

Y-axis of the graph

{latex} $$ H_d $$ {latex}

Sutro Weir Graph: Illustrates the shape of the weir.

Y-axis =

{latex} $$ H_d $$ {latex}

The height of the rectangular base

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The flow through the rectangular base

{latex} $$ Q_{base} $$ {latex}

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• vertical velocity of the water from any height when it reaches the bottom of the weir

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  {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)

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  {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

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  {latex} $$ A = C_{d} 2 y $$ {latex}

  , y is the width of the cruved portion of the weir and it is dependent on

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  {latex} $$ H_{dmax} $$ {latex}

  ,

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  {latex} $$ Q_{max} $$ {latex}

  and, x (the incremental height up the weir)

{latex} $$ M_{in} $$ {latex}

{latex} $$ \rho $$ {latex}

Exit Velocity of the Sutro Weir

{latex} $$ V_{out} $$ {latex}

{latex} $$ \Pi_{sutrosafety} $$ {latex}

Minimum Area of Riser Pipe

{latex} $$ A_{pipemin} $$ {latex}

The Diameter of the Riser Pipe

{latex} $$ d_{pipemin} $$ {latex}

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