5.3. Basic Equations of Fluid Mechanics

Try these first

1. 1.

   State Bernoulli's equation.

   Hint

   Recall the three energy terms involved in Bernoulli's equation.

2. 2.

   What does mass conservation imply in fluid dynamics?

   Hint

   Think about the flow in a pipeline.

3. 3.

   What does Bernoulli's equation help to relate?

   • Pressure
   • Volume
   • Temperature
   • Pressure
   • Velocity
   • Height
   • Velocity
   • Acceleration
   • Area

   Hint

   Remember what happens as a fluid flows.

4. 4.

   True or False: Mass conservation states that mass inflow does not have to equal mass outflow.

   • True
   • False

   Hint

   Think about a closed system.

5. 5.

   A water jet strikes a deflector at a 30° angle, exiting at 5 m/s. Calculate the force on the spring if the jet has a flow rate of 0.005 m³/s.

   Hint

   Consider how momentum change in the x- and y-components affects the resultant force.

6. 6.

   Design a cylindrical tank where fluid enters at a given velocity and exits through a smaller pipe. Calculate the lift force on the covering lid during a storm with winds of 120 km/h.

   Hint

   Apply the pressures both inside and outside the tank due to the wind.