18.5. Problem Analysis

Try these first

1. 1.

   What is conservation of momentum?

   Hint

   Think about mass and velocity.

2. 2.

   Define incompressible flow.

   Hint

   Consider fluid density during flow.

3. 3.

   What is conservation of momentum?

   • The principle of mass conservation
   • The principle that a closed system's total momentum remains constant
   • The principle of energy conservation

   Hint

   It involves velocity and mass.

4. 4.

   In steady flow, fluid properties change with time.

   • True
   • False

   Hint

   Think about how conditions remain the same.

5. 5.

   Given a fluid flow system with varying diameters at inlets and outlets, derive the momentum conservation equations and solve for the outlet velocity, taking into account frictional losses.

   Hint

   Start by balancing the inflow and outflow rates.

6. 6.

   A hydropower project utilizes a river with steep gradients. Assess the momentum changes as the water is diverted for turbine use, calculating energy outputs based on flow rates and density variations.

   Hint

   Consider how momentum and energy conservation will be applied in this scenario.