5.4. Equations of Flow Balance

Try these first

1. 1.

   What is Bernoulli's equation used for?

   Hint

   Think about energy conservation.

2. 2.

   Define flow rate.

   Hint

   Consider how we measure water flow.

3. 3.

   What fundamental principle does Bernoulli's equation illustrate?

   • Energy conservation
   • Mass conservation
   • Pressure uniformity

   Hint

   Think about balance among fluid properties.

4. 4.

   True or False: The Continuity Equation states that mass can be created in a closed system.

   • True
   • False

   Hint

   Consider conservation laws.

5. 5.

   Given a rectangular channel with a depth of 1.5 ft and a width of 3 ft, determine the flow velocity if the flow rate is 10 ft²/s.

   Hint

   Use the formula V = q / A, where A is cross-sectional area.

6. 6.

   Using Bernoulli's equation, calculate the downstream pressure if the upstream pressure is 50 psi, flow velocity is the same before and after a narrowing channel.

   Hint

   Consider the principle of energy conservation.