Question 4 of 4 · Flow Kinematics and Continuity · Foundation · About 15 min

Accelerate water through a calibration nozzle

A fixed, smooth axisymmetric calibration nozzle contracts from internal diameter $0.140\,\mathrm m$ to $0.0700\,\mathrm m$ . The upstream mean water speed is $1.80\,\mathrm{m/s}$ . Assuming steady incompressible flow without side branches, find the exit mean speed, volumetric discharge and mass flow rate for water density $1000\,\mathrm{kg/m^3}$ .

Smooth circular contraction with a larger inlet and smaller water exit. — Schematic, not to scale unless dimensions are given.

Given

Inlet diameter: 0.140 m
Exit diameter: 0.0700 m
Inlet mean speed: 1.80 m/s
Density: 1000 kg/m³

Find

Exit mean speed
Volumetric discharge
Mass flow rate

Assumptions

Steady incompressible flow.
No side leakage.

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Accelerate water through a calibration nozzle

Given

Find

Assumptions

Worked solution