10.5.5. Wall Shear Stress and Stream Functions

Try these first

1. 1.

   Define wall shear stress.

   Hint

   Think about how fluid interacts with surfaces.

2. 2.

   What is a stream function?

   Hint

   Consider how we can visualize fluid motion.

3. 3.

   What is wall shear stress?

   • Normal Force
   • Tangential Force
   • Pressure Force

   Hint

   Think about the direction of the force.

4. 4.

   True or False: Stream functions can be used in three-dimensional flow analysis.

   • True
   • False

   Hint

   Consider the applicability of stream functions.

5. 5.

   A fluid with a dynamically variable viscosity flows through a pipe with a diameter of 0.1 m. If the wall shear stress is measured to be 50 Pa, calculate the required flow rate if the flow remains laminar.

   Hint

   Use the relationship of shear stress in laminar flow.

6. 6.

   Explain how you would use stream functions to model the flow around a ship hull. Include the variables you would consider.

   Hint

   Think of hydrodynamics and how they relate to vessel design.