11.2. Problems Solving on Black Board

Try these first

1. 1.

   What is the definition of fluid kinematics?

   Hint

   Think about the movement of fluids and the absence of forces.

2. 2.

   Describe what a streamline represents.

   Hint

   Consider how a fluid flows.

3. 3.

   What does fluid kinematics study?

   • Forces in fluid motion
   • Fluid particle motion patterns
   • Properties of fluid at rest

   Hint

   Remember the distinction between kinematics and dynamics.

4. 4.

   Is an irrotational flow characterized by having vorticity equal to zero?

   • True
   • False

   Hint

   Consider the definition of irrotational flow.

5. 5.

   Given a complex velocity field, analyze whether it is irrotational by calculating its vorticity.

   Hint

   Break it down into components to simplify your calculations.

6. 6.

   Consider a fluid flowing through a narrowing nozzle. Derive an equation for the velocity distribution using the continuity equation.

   Hint

   Remember the principle of conservation of mass applies here.