Conservation of Mass in Fluid Mechanics: The Continuity Equation 

MEC516/BME516 Fluid Mechanics, Chapter 3 Control Volume Analysis, Part 4: This video covers the derivation of the conservation of mass equation for a control volume using Reynolds Transport Theorem. This equation is called the "continuity equation". A numerical example is presented for incompressible flow.
All the videos in this course and a copy (pdf) of this presentation can be downloaded at:
www.drdavidnaylor.net
Course Textbook: F.M. White and H. Xue, Fluid Mechanics, 9th Edition, McGraw-Hill, New York, 2021.
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