4.3. Differentiating Energy Equation

Try these first

1. 1.

   What is Bernoulli's principle?

   Hint

   Think about energy conservation in fluid dynamics.

2. 2.

   Explain what specific energy means.

   Hint

   Combine potential and kinetic energy for your answer.

3. 3.

   What does Bernoulli's equation help determine?

   • Flow rate
   • Water elevation
   • Pressure only

   Hint

   Think about what we're solving for in channel flow.

4. 4.

   Is specific energy constant during flow changes in a channel?

   • True
   • False

   Hint

   How does changing flow conditions affect energy?

5. 5.

   Calculate the downstream elevation if water's upstream depth is 2.3 ft and the calculated velocity v1 is 2.5 ft/s, assuming energy loss from ramp is negligible.

   Hint

   Use the specific energy relationships to establish your equations.

6. 6.

   Consider a ramp with specific energy values derived. If y1 = 2.3 ft yields E = 3.03 ft at the beginning, calculate the new specific energy if the downstream flow depth fluctuates.

   Hint

   Connect flow conditions to these energy variations.