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: Explaining why maximum velocity occurs slightly below the free surface due to secondary currents and boundary shear resistance.

How friction against the channel bed and banks alters fluid velocity throughout the cross-section. : Explaining why maximum velocity occurs slightly below

: Smooth, continuous depth changes over long distances (e.g., backwater curves behind a dam).

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: Specific energy, specific force, and computations for critical depth. Flow Dynamics

→ Download USBR “Hydraulic Design of Channels” free PDF. → Use online Manning’s equation calculators for practice.

: Introduces the Saint-Venant equations and numerical methods for solving complex scenarios like flood routing and dam-break problems.

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