11.1.1. Velocity Field Estimation

Try these first

1. 1.

   What is a velocity field?

   Hint

   Think about how we define motion in fluid dynamics.

2. 2.

   What does vorticity measure?

   Hint

   Focus on the concept of rotation.

3. 3.

   What is the equation for shear stress in fluid mechanics?

   • tau = mu * (du/dy)
   • u = -dp/dx
   • v = 0

   Hint

   Recall Newton's law of viscosity.

4. 4.

   True or False: Velocity potential can exist in a rotational flow.

   • True
   • False

   Hint

   Think about vorticity's impact on potential function.

5. 5.

   Given the pressure gradient in a two-dimensional flow system, derive an expression for the velocity field and determine how changes in the gradient might affect wall shear stress.

   Hint

   Take careful note of your boundaries and pressure values.

6. 6.

   You have a fluid passing a flat plate where the Reynolds number is known. Discuss how altering this would transition through boundary layers.

   Hint

   Review critical Reynolds numbers and flow classifications!