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Linear

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Flow

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Orifice

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Meter Equations

Total Flow Rate Through Weir

Latex
 Equations


h3. Total Flow Rate Through Weir

{latex} $$ Q = cC_o [h + {2 \over 3} s] $$ {latex}

The

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constant

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of

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proportionality, Co :

Latex
 c :
{latex} $$ cC_o = W k {s^{1 \over 2}} $$ {latex}
The variable k :
{latex} $$ k = 2 C_d W \sqrt{2g}2 $$g {latexs}
*Combined and substitued* :
{latex} $$ Q = W 2 C_d \sqrt{2g} {s^{1 \over 2}} [h + {2 \over 3} s] $$ {latex}

h3. Flow Through Rectangular Base of Weir

 = {Q_{max} \over H_{dmax}}$$ 

Flow Through Rectangular Base of Weir

Latex
{latex} $$ q_w = {42 \over 3} W C_d \sqrt{2g} [{{(h + s)}^{23 \over 32}} - {h^{2 \over 3}}] $$ {latex}

h3. Rectangular Base Height


h3. Profile of Curved Portion

one attempt
{latex}
\large
q~w~ = 2/3 W C~d~
{latex}
can't figure this out yet i will have to stop in with monroe because i tried using his equatoins as a template and it isn't working. Everytime that i put an equation in the preview comes out like 5 pages long with errors.

Rectangular Base Width

Latex
 $$ W = Q_max \over {C_d {H_dmax^{3 \over 2}} \sqrt{3 g Pi_Sutro}} $$ 

Rectangular Base Height

Latex
 $$ s = {3 \over 2} \Pi_{sutro}H_{dmax} $$ 
Latex
 $$ Pi_{sutro} = {Q_min \over Q_max} =  {{2 \over 3}s} \over {H_dmax} $$ 

Profile of Curved Portion

Latex
 $$ y = {W \over 2} [1 - {s \over \Pi} tan^{-1} \sqrt{x \over s} ]$$