2. Practice Problem

Try these first

1. 1.

   Define uniform flow in your own words.

   Hint

   Think about it as no changes occurring in the flow pattern.

2. 2.

   What does it mean if a flow is non-uniform?

   Hint

   Consider how this affects fluid dynamics near solid boundaries.

3. 3.

   What defines uniform flow?

   • Velocity changes with time and space
   • Velocity is constant across space
   • Velocity changes only with time

   Hint

   Consider how velocity behaves in different scenarios.

4. 4.

   True or False: Non-uniform flow indicates that the fluid properties are the same at all points.

   • True
   • False

   Hint

   Think about the impact of varying conditions.

5. 5.

   Given a velocity field represented by u = 2xy, v = 3y², find the equation of the streamline passing through the point (2, 3).

   Hint

   Start by relating the y-component to the x-component using the equations separately.

6. 6.

   For a scenario where a river’s flow is uniform for a section and non-uniform near the edges, analyze how the turbulence might differ based on viscosity and solid boundaries.

   Hint

   Consider how boundary layers form near surfaces.