Question 2 of 4 · Flow Kinematics and Continuity · Intermediate · About 20 min

Split flow through a distribution junction

A steady water stream of volume flow rate $0.0380\,\mathrm{m^3/s}$ enters a three-way distributor through a $0.200\,\mathrm m$ internal-diameter pipe at section A. Exactly $70\%$ of the inlet discharge exits through branch B of diameter $0.100\,\mathrm m$ ; the remainder leaves through branch C of diameter . Determine the discharge through each outlet and the three mean section speeds. Treat water as incompressible.

Incompressible flow entering a T-junction and splitting between two outlets. — Schematic, not to scale unless dimensions are given.

Given

Inlet Q_A=0.0380 m³/s
D_A=0.200 m
70% of inlet discharge to B
D_B=0.100 m
D_C=0.0800 m

Find

Q_B and Q_C
Mean speeds V_A, V_B, V_C

Assumptions

No storage or leaks.
Uniform section-mean speeds.

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Split flow through a distribution junction

Given

Find

Assumptions

Worked solution