h1. Linear Flow Orifice Meter Equations


h3. Total Flow Rate Through Weir

{latex} $$ Q = c [h + {2 \over 3} s] $$ {latex}
The constant of proportionality, c :
{latex} $$ c = W k {s^{1 \over 2}} $$ {latex}
The variable k :
{latex} $$ k = 2 C_d \sqrt{2g} $$ {latex}
*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

{latex} $$ q_w = {4 \over 3} W C_d \sqrt{2g} [{{(h + s)}^{2 \over 3}} - {h^{2 \over 3}}] $$ {latex}

h3. Rectangular Base Height

{latex} $$ s = {3 \over 2} \Pi_{sutro}H_{dmax} $$ {latex}


h3. Profile of Curved Portion

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