Lesson 5 Control Volume Approach & The Continuity Eqn

Goals

• Concepts. Lagrangian Description. Eulerian Description. Volume flow rate (discharge). Mass flow rate (discharge). Control Volume. System. Cavitation. You can explain and/or answer questions.1
• Reynolds Transport Theorem. You can derive and explain the meaning.
• Volume & Mass flow rate eqns. You can explain and/or answer questions.2 You can derive. You can apply to relate Q and V.
• Continuity Eqn. You can explain and/or answer questions.2 You can derive. You can apply to relate Q, m-dot, V, etc.

Resources

• Sections 5.1 to 5.4
• Notes on holistic meaning & process approach.
• MEAC Sheet
• ESS Sheet

Plan to Reach Goals

1. Skim chapter 5 and read the lesson goals. What would an engineer be able to do if they reached these goals? List as many ideas as possible. Mark those ideas that are the most motivating to you.
2. Create MEAC sheets for Lagrangian Description. Eulerian Description. Volume flow rate (discharge). Mass flow rate (discharge). Control Volume. System.
3. Create ESS sheets for the volume flow rate equation and the mass flow rate equation.
4. Concept Problems (class). Measure volume flow rate for a person breathing. Estimate the discharge in a river.
5. System versus CV (class). What are the most important differences between a system & a CV? Build a differences table.
6. Flow rate problems from text: 5.10, 5.12, 5.26, 5.29. Consider using Prof. Elger's recommendations on how to get the most out of doing hw.
7. Using your own approach, derive the Reynolds Transport Theorem.
8. Using your own approach, derive the Continuity Equation.
9. Create an ESS for the continuity equation.
10. Continuity problems from text: 5.59, 5.61. Consider using Prof. Elger's recommendations on how to get the most out of doing hw.
11. Create a MEAC sheet for cavitation.
12. Focus on process approach. Set up problems 5.88, 5.90, 5.97. See if you can plan a solution prior to doing any calcs. To save time you can omit calcs. Solns are posted. Consider using Prof. Elger's recommendations on how to get the most out of doing hw.

Notes
1Knowledge should be @ the MEAC level.
2Knowledge should be @ the ESS level.