18.6.2. GATE 2012 Example

Try these first

1. 1.

   Define a control volume in the context of fluid mechanics.

   Hint

   Think about the area where fluid enters and exits.

2. 2.

   What is the main focus of Reynolds Transport Theorem?

   Hint

   It connects flow through surfaces to properties over time.

3. 3.

   What is the primary concept behind conservation of momentum?

   • Mass remains constant
   • Velocity remains constant
   • Total momentum remains constant

   Hint

   Consider how other forces might influence mass and velocity.

4. 4.

   True or False: Steady flow means all fluid properties change uniformly with time.

   • True
   • False

   Hint

   Reflect on the definitions we've discussed for steady vs. unsteady.

5. 5.

   A cylindrical tank with a radius of 2m has inflow at 5m/s and outflow at 2m/s. Determine the time it takes to fill the tank completely if inflow remains constant.

   Hint

   Set up the tank volume based on height and convert inflow into time.

6. 6.

   For a steady two-dimensional flow across a control volume, derive expressions relating pressure force and velocity head.

   Hint

   Consider areas and apply conservation methods iteratively.