8.7.2. Motion and Deformation of Fluid Particles

Try these first

1. 1.

   Define local acceleration in your own words.

   Hint

   Think about how speed varies for an individual particle.

2. 2.

   What is convective acceleration?

   Hint

   Consider how the movement of a car through traffic gives different speeds.

3. 3.

   What does local acceleration describe?

   Hint

   Remember to focus on the aspect of time at a specific location.

4. 4.

   Is convective acceleration present in a steady flow?

   • True
   • False

   Hint

   Think about gradients in the velocity field.

5. 5.

   Given the velocity field V = yz, find the local and convective accelerations at point (1,1,1).

   Hint

   Start by identifying each definition of acceleration.

6. 6.

   Consider a fluid that behaves such that v = -3x, derive both types of acceleration at a given point and discuss implications for steady flow.

   Hint

   Think about the role of time in your factors.