Linear Flow Orifice Meter Equations
Total Flow Rate Through Weir
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{latex} $$ Q = C_o [h + {2 \over 3} s] $$ {latex} |
The constant of proportionality, Co :
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{latex} $$ C_o = C_d W \sqrt{2 g s} = {Q_{max} \over H_{dmax}}$$ {latex} |
Flow Through Rectangular Base of Weir
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{latex} $$ q_w = {2 \over 3} W C_d \sqrt{2g} [{{(h + s)}^{3 \over 2}} - {h^{2 \over 3}}] $$ {latex} |
Rectangular Base Width
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{latex} $$ W = Q_max \over {C_d {H_dmax^{3 \over 2}} \sqrt{3 g Pi_Sutro}} $$ {latex} |
Rectangular Base Height
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{latex} $$ s = {3 \over 2} \Pi_{sutro}H_{dmax} $$ {latex} |
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{latex} $$ Pi_{sutro} = {Q_min \over Q_max} = {{2 \over 3}s} \over {H_dmax} $$ {latex} |
Profile of Curved Portion
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{latex} $$ y = {W \over 2} [1 - {s \over \Pi} tan^{-1} \sqrt{x \over s} ]$$ {latex} |