Subtopic: Flat fan, hollow cone and solid cone nozzles
Question Statement:
A hydraulic spray nozzle discharges $1.2\text{ L/min}$ at an operating pressure of $200\text{ kPa}$. When the pressure is increased to $400\text{ kPa}$, the new nozzle discharge is ________ $\text{L/min}$ (round off to two decimal places).
Answer Key:
1.70
Step-by-Step Solution & Explanation
For an orifice or hydraulic spray nozzle, discharge is proportional to the square root of pressure ($q \propto \sqrt{P}$):
$\frac{q_2}{q_1} = \sqrt{\frac{P_2}{P_1}}$
$q_2 = q_1 \times \sqrt{\frac{400.0}{200.0}} = 1.2 \times \sqrt{2.00} = 1.2 \times 1.4142 = 1.70\text{ L/min}$