Module 6: Finite Control Volume Analysis: Conservation of Momentum:

The conservation of momentum for a control volume can be derived from Newton's second law that states the time rate of change of the linear momentum of the system = Sum of external forces acting on the system.

Student Learning Outcomes: After completing this module, you should be able to:

* Select an appropriate finite control volume to solve the conservation of momentum equation

* Apply conservation of momentum to the contents of a finite control volume to get essential answers

* Explain how velocity changes in fluid flows are related to forces

Lecture Videos:

Link to Module 6 Playlist Link to Module 6 Lecture Notes

Links to Individual Module 6 Videos:

Lecture 1 - Control Volume Analysis - Conservation of Momentum: This segment covers the derivation and discussion of the Conservation of Momentum equation, including the special cases

Lecture 2 - Steps to Solve Control Volume Questions: This segment establishes the Steps Required to Solve Control Volume Questions

Lecture 3 - Control Volume Example for Conservation of Mass and Momentum: In this segment, we apply the control volume principles of conservation of mass and momentum to obtain forces exerted by the flow on a common fluid component: a bend.

Lecture 4 - Anchoring Force on a Nozzle with a Pressure Difference: In this segment, we highlight how to apply the conservation of momentum to obtain forces for the realistic nozzles, such as a pressure washer nozzle. We highlight how to obtain and integrate the pressure found from manometry to the momentum equation

Lecture 5 - Conservation of Momentum to Calculate Forces for Parabolic Viscous Flow in Pipes: In this segment, we highlight how to apply the conservation of momentum to obtain forces for realistic viscous pipe flow. The non-uniform velocity profile is parabolic in nature. Please pay close attention to how we obtain the differential area (dA) for a circular pipe, which is 2(Pi)rdr, as well as double integration of velocity times the differential area

Lecture 6 - Module 6 Recap

Additional Videos (Short FE Exam type questions)

Lecture 7 - In this segment, we solve a practice problem from the continuity equation (conservation of mass) and the Impulse-Momentum Principle (conservation of momentum) topics

Lecture 8 - In this segment, we solve a practice problem involving moving vane (moving control volume) and employ the Impulse-Momentum Principle (conservation of momentum) topic.

Lecture 9 - In this segment, we solve a practice problem involving jet propulsion and employ the Impulse-Momentum Principle (conservation of momentum) topic.

Congratulations, you just finished module 6! Please proceed to module 7

College Fluid Mechanics

An Open Courseware

FE Exam Review and Practice