18.1.4. Lecture No. – 09

Try these first

1. 1.

   Define the Reynolds transport theorem.

   Hint

   Think about how we relate volume and flow.

2. 2.

   What differentiates steady flow from unsteady flow?

   Hint

   Relate it to how the system behaves over time.

3. 3.

   What theorem serves as the basis for the conservation of momentum application in fluid mechanics?

   • Bernoulli's Theorem
   • Newton's First Law
   • Reynolds Transport Theorem
   • Pascal's Law

   Hint

   Think about how we analyze quantities in control volumes.

4. 4.

   True or False: In steady flow, the fluid properties at a point do not change over time.

   • True
   • False

   Hint

   Relate this back to basic definitions of flow types.

5. 5.

   A flow system has two inlets with known flow rates. If the outlet flow rate is measured, derive an expression for momentum change in the system.

   Hint

   Start by calculating total inflow and outflow.

6. 6.

   Consider the impact of varying pipe diameters on flow velocity in a branching system. Calculate the velocities and determine the momentum flux correction factor needed for accuracy.

   Hint

   Analyze the change in velocity with respect to area.