Starting with the Bernoulli equation, show that the volumetric rate of flow, · Q, of a process fluid through a horizontal Venturi meter can be given by where Cd is the coefficient of discharge, a is...

Starting with the Bernoulli equation, show that the volumetric rate of flow, · Q, of a process fluid through a horizontal Venturi meter can be given by

where Cd is the coefficient of discharge, a is the internal cross-sectional area of the pipe, Δp is the pressure differential, ρ is the density of the process fluid, and β is the ratio of pipe to throat diameter.