A reservoir behind a dam holds still water of depth

PHYSICS · Multi-part · Fermi University Physics · Fluids & Continuum Physics · Kinematics, conservation laws and ideal flow · Waves, acoustics and compressible flow

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

Problem

A reservoir behind a dam holds still water of depth h0=2.25 mh_0 = 2.25\,\mathrm{m}. The dam is removed instantaneously, releasing a dam-break flow onto a dry, level, frictionless channel bed. Using Ritter's solution, find ((a)) the speed of the leading front; ((b)) the depth and the flow velocity at the original dam site; ((c)) the discharge per unit width at the dam site.

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