6.3. Velocity and Pressure Fields

Try these first

1. 1.

   What is a velocity field?

   Hint

   Think about how speed can vary from point to point.

2. 2.

   Define the term 'pressure field'.

   Hint

   It is related to how fluids exert force.

3. 3.

   What do Cauchy equations help describe?

   • Thermal flow
   • Fluid momentum
   • Sound waves

   Hint

   Consider the main focus of fluid mechanics.

4. 4.

   True or False: The pressure field affects the velocity of fluid flow.

   • True
   • False

   Hint

   Think about how high pressure can push fluids faster.

5. 5.

   Using the Cauchy equations, derive the relationship between pressure variations and fluid velocity in a controlled environment.

   Hint

   Examine how forces and continuity equations interact.

6. 6.

   Analyze the flow over a bridge pier using the concepts from the Cauchy equations. What would the velocity and pressure fields look like?

   Hint

   Think about how shapes affect flow patterns.