6.3. Differential Equation of Gradually Varied Flow

Try these first

1. 1.

   Define gradually varied flow.

   Hint

   Think about how slope relates to flow depth.

2. 2.

   What is one assumption of gradually varied flow?

   Hint

   Consider the shape of the channel.

3. 3.

   What characterizes gradually varied flow?

   • A high slope
   • Steady changes in depth
   • Rapid depth changes

   Hint

   Remember the definition of the flow.

4. 4.

   True or False: In a prismatic channel, the cross-sectional shape can vary.

   • True
   • False

   Hint

   Focus on what 'prismatic' means.

5. 5.

   Given a prismatic channel with a slope S0 of 0.01, determine the depth of flow y0 if Manning's n equals 0.03, Q is 20 m^3/s, and the channel width is 2m. Use the Manning equation for calculations.

   Hint

   Start with the Manning equation to determine the velocity.

6. 6.

   Describe the behavior of water flow in a channel that has an adverse slope and a critical depth equal to the normal depth. What happens to the flow?

   Hint

   Consider how slope affects flow behavior.