Serway & Jewett — Fluid Mechanics: Problem 24

In ideal flow, a liquid of density $850 \text{ kg/m}^3$ moves from a horizontal tube of radius $1.00 \text{ cm}$ into a second horizontal tube of radius $0.500 \text{ cm}$ at the same elevation as the first tube. The pressure differs by $\Delta P$ between the liquid in one tube and the liquid in the second tube. (a) Find the volume flow rate as a function of $\Delta P$. Evaluate the volume flow rate for (b) $\Delta P = 6.00 \text{ kPa}$ and (c) $\Delta P = 12.0 \text{ kPa}$.