6.1. Gradually Varied Flow

Try these first

1. 1.

   What defines gradually varied flow?

   Hint

   Think about how water deepens or shallows over distance.

2. 2.

   What does a prismatic channel mean?

   Hint

   Consider the cross-section of the channel.

3. 3.

   What is the primary characteristic of gradually varied flow?

   • Constant depth
   • Gradual depth change
   • Rapid depth change

   Hint

   Think about how water behaves in a very gently sloping channel.

4. 4.

   True or False: A prismatic channel can have varying cross-sectional geometry.

   • True
   • False

   Hint

   Recall the definition of a prismatic channel.

5. 5.

   Given a channel with a gradually varied flow with a mild slope, if the normal depth (y0) is greater than the critical depth (yc), explain how you would analyze the flow characteristics.

   Hint

   Consider how the Froude number might vary in this case.

6. 6.

   Derive the differential equation expressing the relationship between energy slope, bottom slope, and water surface slope in a gradually varied flow scenario.

   Hint

   Focus on relating the forces and energy perspectives.