Branching Pipe Flow - Bernoulli Equation and Continuity Equation Example Problem

Water flows through the horizontal branching pipe shown. If viscous effects are negligible, determine water speed, pressure and volumetric flowrate at the 3 outlet sections.

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This Bernoulli’s Equation Example Problem is also a Continuity Equation Example Problem for the bottom outlet. This video verifies the 4 Bernoulli Equation Assumptions are applicable, then does a complete walkthrough for how to solve this fluid mechanics problem. Multiple forms of the Bernoulli Equation are shown (head form and also pressure form). The continuity equation is also derived from the Reynold’s Transport Theorem.


TIMECODES
0:00 Bernoulli Equation Assumptions
3:10 Find Velocity through Outlet 2
7:24 Find Pressure at Outlet 3
8:56 Find Volumetric Flowrate through Outlet 4