12.4. Fluid Particle Direction in Dipole Source Flow

Try these first

1. 1.

   What happens to fluid velocity as it flows through a converging nozzle?

   Hint

   Think about the relationship between area and flow speed.

2. 2.

   Define steady flow in your own words.

   Hint

   Consider what it means for a river flowing at a constant speed.

3. 3.

   As a fluid passes through a nozzle, its velocity:

   • Decreases
   • Increases
   • Stays constant

   Hint

   Consider how squeezing a hose affects the water flow.

4. 4.

   In steady flow, time-dependent terms for acceleration are:

   • True
   • False

   Hint

   Reflect on what 'steady' means in relation to flow parameters.

5. 5.

   Design a nozzle that moves fluid from an initial velocity of 10 ft/s to an exit velocity of 30 ft/s. Discuss the class of fluid and parameters.

   Hint

   Use Poiseuille's law to relate velocity to pressure drop.

6. 6.

   Given a 2D flow field function, derive equations to describe particle flow from given x, y coordinates.

   Hint

   Remember the differentiation techniques.