6.3. Basic Principles of Fluid Mechanics

Try these first

1. 1.

   Define a velocity field.

   Hint

   Look for how motion is described in relation to space.

2. 2.

   What are streamlines?

   Hint

   Think about how you might visualize fluid flow.

3. 3.

   Which equation is vital for fluid flow analysis?

   • Pressure equation
   • Continuity equation
   • Acceleration equation

   Hint

   Think about how mass is conserved in flow.

4. 4.

   True or false: Streamlines and pathlines are the same in a steady flow.

   • True
   • False

   Hint

   Consider what steady flow means.

5. 5.

   Given a scenario where a fluid is flowing steadily through a pipe that narrows at one end, how would the velocity and pressure change? Develop a model to illustrate your findings.

   Hint

   Consider the relationship between area, velocity, and pressure.

6. 6.

   Describe the effects of a temperature gradient and how it would change fluid density in a heated tank.

   Hint

   Reflect on how heat changes molecular motion and spacing.