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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
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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 :
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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}}$$ |
Flow Through Rectangular Base of Weir
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{latex} $$ q_w = {42 \over 3} W C_d \sqrt{2g} [{{(h + s)}^{23 \over 32}} - {h^{2 \over 3}}] $$ {latex} h3. Rectangular Base Height h3. Profile of Curved Portion one attempt {latex} \large q~w~ = 2/3 W C~d~ {latex} can't figure this out yet i will have to stop in with monroe because i tried using his equatoins as a template and it isn't working. Everytime that i put an equation in the preview comes out like 5 pages long with errors. |
Rectangular Base Width
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$$ W = Q_max \over {C_d {H_dmax^{3 \over 2}} \sqrt{3 g Pi_Sutro}} $$ |
Rectangular Base Height
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$$ s = {3 \over 2} \Pi_{sutro}H_{dmax} $$ |
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$$ Pi_{sutro} = {Q_min \over Q_max} = {{2 \over 3}s} \over {H_dmax} $$ |
Profile of Curved Portion
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$$ y = {W \over 2} [1 - {s \over \Pi} tan^{-1} \sqrt{x \over s} ]$$ |