Flow Rate

Written by Jerry Ratzlaff on . Posted in Fluid Dynamics

flow rate 6Flow rate, abbreviated as Q, also called volumetric flow rate, measure the amount of fluid that flows in a given time past a specific point if the temperature and pressure were at standard conditions.

 

Flow Rate formula

\(\large{ Q =  A_c \; v  }\) 

\(\large{ Q = C_v \; \sqrt {\frac{SG} {\Delta p} }  }\)

\(\large{ Q =  k \; i  \; A_c }\) 

\(\large{ Q =  \frac{ 1.49 }{ n } \; A_c \; r_h^{2/3} \; S^{1/2}   }\)

\(\large{ Q = \frac{ 3960 \; WHP }{ h_t }   }\)

Symbol English Metric
\(\large{ Q }\) = flow rate \(\large{\frac{ft^3}{sec}}\) \(\large{\frac{m^3}{s}}\)
\(\large{ A_c }\) = area cross-section \(\large{ft^2}\) \(\large{m^2}\)
\(\large{ S }\) = channel slope or energy slope line  \(\large{ft}\)  \(\large{m}\)
\(\large{ C_v }\) = flow coefficient \(\large{dimensionless}\)
\(\large{ k }\) = hydraulic conductivity  \(\large{\frac{ft}{day}}\)  \(\large{\frac{m}{day}}\) 
\(\large{ i }\) = hydraulic gradient \(\large{dimensionless}\)
\(\large{ r_h }\) = hydraulic radius \(\large{ft}\) \(\large{m}\)
\(\large{ \Delta p }\) = pressure differential \(\large{\frac{lbf}{in^2}}\)   \(\large{Pa}\) 
\(\large{ SG }\) = specific gravity of fluid (water at 60°F = 1.0000)  \(\large{\frac{ft}{sec^2}}\)    \(\large{\frac{m}{s^2}}\) 
\(\large{ h_t }\) = total head or height \(\large{ft}\) \(\large{m}\)
\(\large{ v }\) = velocity \(\large{\frac{ft}{sec}}\) \(\large{\frac{m}{s}}\)
\(\large{ WHP }\) = water horsepower  \(\large{\frac{lbf-ft}{sec}}\) \(\large{\frac{Btu}{s}}\)

 

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