2.2. Integrating the Streamline Equation

Try these first

1. 1.

   Define uniform flow in your own words.

   Hint

   Think about whether properties change from point to point.

2. 2.

   What happens to fluid properties in non-uniform flow?

   Hint

   Consider changes in position with respect to fluid flow.

3. 3.

   What is the main characteristic of uniform flow?

   • Velocity changes over time
   • Velocity remains constant in space
   • Velocity increases with time

   Hint

   Consider the definition of uniformity in fluid flows.

4. 4.

   True or False: Non-uniform flow has fluid properties that change from one location to another.

   • True
   • False

   Hint

   Think about the definitions we covered.

5. 5.

   Calculate the variation in velocity in non-uniform flow across a distance of 5m along the width of a river, given fluid parameters at various crossings.

   Hint

   Look at how properties change over distance in your calculations.

6. 6.

   Given the velocity components u = 2x, v = 3y, and w = -5z, find the equations of streamlines through a specific point (2, 3, 4).

   Hint

   Break down the integration step-by-step before substituting the point.