(Solved): A horizontal Venturi flow meter consists of a converging-diverging conduit as indicated in the fig ...

A horizontal Venturi flow meter consists of a converging-diverging conduit as indicated in the figure below. The diameters of cross sections (1) and (2) are \( D_{1}=5.8 \mathrm{in} \). and \( D_{2}=4 \mathrm{in} \). The velocity and static pressure are uniformly distributed at cross sections (1) and (2). Determine the volume flowrate \( \left(\mathrm{ft}^{3} / \mathrm{s}\right) \) through the meter if \( p_{1}-p_{2}=3 \mathrm{psi} \), the flowing fluid is oil \( (\rho=56 \) \( \mathrm{Ibm} / \mathrm{ft}^{3} \) ), and the loss per unit mass from (1) to (2) is negligibly small.