Problem 1: Critical Depth and Minimum Specific Energy

A rectangular channel is $4.0\text{ m}$ wide and carries $10\text{ m}^3/\text{s}$. Determine critical depth and minimum specific energy.

Problem 2: Specific Energy and Froude Number

A $3.0\text{ m}$ wide rectangular channel carries $6.0\text{ m}^3/\text{s}$ at depth $1.0\text{ m}$. Determine velocity, specific energy, Froude number, and flow regime.

Problem 3: Alternate Depths for a Given Specific Energy

In a rectangular channel, unit discharge is $q=2.0\text{ m}^2/\text{s}$ and specific energy is $E=1.50\text{ m}$. Determine the two possible depths.

Problem 4: Sequent Depth of a Hydraulic Jump

Supercritical flow in a rectangular channel has upstream depth $y_1=0.50\text{ m}$ and velocity $V_1=8.0\text{ m/s}$. Determine upstream Froude number and sequent depth.

Problem 5: Hydraulic-Jump Energy and Power Dissipation

For the jump in Problem 4, determine specific-energy loss and power dissipated if discharge is $10\text{ m}^3/\text{s}$.

Problem 6: Broad-Crested Weir at Critical Flow

Water approaches a broad-crested weir with total specific head $H=1.50\text{ m}$ above the crest. Neglect approach velocity and losses. The crest is $4.0\text{ m}$ wide. Determine critical depth and discharge.

Problem 7: Gradually Varied Flow Profile Classification

A channel reach has normal depth $y_n=2.0\text{ m}$ and critical depth $y_c=1.2\text{ m}$. At a section, the actual depth is $3.0\text{ m}$. Classify the bed slope and water-surface profile.

Problem 8: Critical Slope for a Rectangular Channel

A $4.0\text{ m}$ wide rectangular channel carries $10\text{ m}^3/\text{s}$ with Manning $n=0.015$. Determine the critical slope. Classify a reach with slope $0.001$.