6.1.3. Pressure Distribution

Try these first

1. 1.

   Define a velocity field in fluid mechanics.

   Hint

   Think about how we describe motion in different directions.

2. 2.

   What is a pressure gradient?

   Hint

   Consider how changes in pressure might influence fluid behavior.

3. 3.

   What is a velocity field?

   • A method of pressure analysis
   • A representation of fluid velocity
   • A visual model of fluid motion

   Hint

   It concerns how fast fluid moves.

4. 4.

   Incompressible flow assumes density is constant. (True/False)

   • True
   • False

   Hint

   Consider the impact of Mach number.

5. 5.

   Given the velocity field of a fluid in a pipe, calculate the pressure drop across a distance of 10 meters if the velocity varies linearly from 2 m/s to 5 m/s.

   Hint

   Think about how pressure influences velocity and vice versa.

6. 6.

   In a scenario where a gas flows through a narrowing pipe section, explain how the pressure and density change, especially when the Mach number exceeds 0.3.

   Hint

   Remember the relationship between pressure, velocity, and density in compressible flow.