A long canal is at rest with depth for a stream flows away from the gate

PHYSICS · Subjective · Fermi University Physics · Fluids & Continuum Physics · Waves, acoustics and compressible flow · Waves, acoustics and compressible flow

Signal Speeds in Fluids, Ch Long waves of finite height: bores, jumps and solitary waves

Problem

A long canal is at rest with depth

h_0 = 1.5\,\mathrm{m}

for

x < 0

, behind a lock gate at

x = 0

. For

x > 0

a stream flows away from the gate, in the

+x

direction, at

u = 0.8\,\mathrm{m\,s^{-1}}

with depth

h = 0.5\,\mathrm{m}

. When the gate is opened, a point downstream is reached by a

J_+

characteristic carrying the value from the still water and a

J_-

characteristic carrying the value from the stream. Find the depth, flow speed and Froude number at that point.

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