1.3. Definition of Non-Uniform Flow

Try these first

1. 1.

   Define uniform flow in one sentence.

   Hint

   Think about how fluid properties behave in a straight channel.

2. 2.

   What is the no-slip condition?

   Hint

   Consider what happens when fluid touches a wall.

3. 3.

   What defines uniform flow?

   • Velocity changes with position
   • Velocity remains constant
   • Velocity changes with time

   Hint

   Consider how flows behave in straight channels.

4. 4.

   In non-uniform flow, fluid properties:

   • True: Change across points
   • False: Remain constant across points

   Hint

   Think about how water behaves in a turbulent river.

5. 5.

   Given a river with a uniform flow speed of 3 m/s at the center and a no-slip condition near the banks causing variable speeds down to 0 m/s at the edges, calculate the velocity gradient near the edge.

   Hint

   Consider applying the formula for gradient as the change in velocity over distance.

6. 6.

   If a flow field has a defined no-slip condition at a boundary, analyze how this affects the characteristics of fluid flow in a channel design aimed at maintaining non-uniformity near solid surfaces.

   Hint

   Think how engineers might design channels to facilitate flow while accounting for the no-slip condition.