11.1.5. First Example

Try these first

1. 1.

   Define fluid kinematics.

   Hint

   Think about motion properties of fluids.

2. 2.

   What is a streamline?

   Hint

   Consider how water flows in a river.

3. 3.

   What does fluid kinematics study?

   • Forces acting on fluids
   • Fluid motion without forces
   • Thermodynamics of fluids

   Hint

   Consider the core focus of kinematics.

4. 4.

   True or False: An irrotational flow has non-zero vorticity.

   • True
   • False

   Hint

   Think about what 'irrotational' means.

5. 5.

   If given a complex potential function, derive the velocity field and analyze for irrotationality. Explain each step.

   Hint

   Remember the definition of vorticity and how to calculate it.

6. 6.

   Using a hypothetical velocity field, demonstrate whether it satisfies the continuity equation. Provide calculations.

   Hint

   Think about the mathematical operator used for divergence.