8. Fluid Mechanics

Try these first

1. 1.

   Define the Navier-Stokes equations.

   Hint

   Think about the fundamental laws of mechanics.

2. 2.

   What does it mean for a fluid to be incompressible?

   Hint

   Consider how gases compare to liquids.

3. 3.

   What is the primary purpose of the Navier-Stokes equations?

   • To describe fluid motion
   • To calculate temperature
   • To analyze solids
   • To study electricity

   Hint

   Think about what properties of fluids can be modeled.

4. 4.

   Is Bernoulli's equation always applicable in fluid dynamics?

   • True
   • False

   Hint

   Consider the basic assumptions of Bernoulli’s equation.

5. 5.

   Consider a fluid flowing through a cylindrical pipe. If the diameter is reduced, describe the expected changes in velocity and pressure using Bernoulli's equation.

   Hint

   Refer to the continuity equation and energy perspectives.

6. 6.

   A water jet is shot horizontally from a height of 5 meters. Calculate the time it takes to reach the ground and the distance traveled horizontally, using appropriate neglect of drag.

   Hint

   Remember to break down motion into vertical and horizontal components.