4.3.3. Two-Dimensional Flow Classification

Try these first

1. 1.

   What is the principle of mass conservation in fluid dynamics?

   Hint

   Think about balance in a system.

2. 2.

   Define incompressible flow.

   Hint

   What happens to volume in such a flow?

3. 3.

   Which theorem relates momentum change to flux across a control volume?

   • Conservation of Energy
   • Reynolds Transport Theorem
   • Bernoulli's Principle

   Hint

   Consider the main theorems used in fluid dynamics.

4. 4.

   True or False: Incompressible flow implies varying density.

   • True
   • False

   Hint

   Think about the definition of incompressible fluid.

5. 5.

   A water jet strikes a vane at an angle with a velocity of 10 m/s and a cross-sectional area of 0.05 m². Evaluate the force on the vane when the flow is steady.

   Hint

   Factor in the direction of jet impact.

6. 6.

   During a steady flow of oil in a pipeline, with a density of 800 kg/m³, the cross-section reduces from 0.1 m² to 0.05 m². Calculate the change in velocity if the input pressure is known.

   Hint

   Consider adding Bernoulli's equation where necessary.