Fluid Mechanics Lesson 05A: Conservation of Mass

Fluid Mechanics Lesson Series - Lesson 05A: Conservation of Mass
In this 14.5-minute video, Professor Cimbala derives the control volume equation for conservation of mass by employing the Reynolds Transport Theorem of the previous lesson. He then shows various simplifications of this conservation equation and does two example problems: an unsteady case and a steady case.
This video incorporates material from Sections 5-1 and 5-2 of the Fluid Mechanics textbook by Cengel and Cimbala.
An Excel file listing of all the videos in this series can be found at
www.me.psu.edu/cimbala/Cengel... .
If you liked this video, please subscribe to Dr. Cimbala's KZbin channel at / @johncimbala to be informed when new videos are posted.
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Dr. John M. Cimbala is Professor of Mechanical Engineering at Penn State. He is an educator, textbook author, Christian author, husband, father, and grandfather. He also created and maintains a website for helping people grow in their faith called Christian Faith Grower at www.christianfaithgrower.com/ His KZbin channel is at / @johncimbala

[@cristianjgal]

Thanks Professor!

[@DeethAlAkir]

Thank you 23/84

[@narayan9188]

Thank you very much.

[@johncimbala]

Thank you for your kind comment. Please tell your friends and colleagues about my KZbin channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.

[@casuallycasualty4933]

great video! only thing i didnt understand is the units of mass flow rate and volumetric flow rate. did you maybe forget to put d/dt infront of the integrals? thank you and happy new years :)

[@johncimbala]

I did not forget a d/dt. The integrals have velocity in them (length per time) and that is where the flow RATE comes in (time in the denominator). Thank you for your comment. Please tell your friends and colleagues about my KZbin channel where there are hundreds of free videos about the Bible, fluid mechanics, science, math, statistics, air pollution, and other topics. I would greatly appreciate it.

[@hikari105]

for the steady flow example, wouldn't u1h = (ah^3)/2 instead of (ah^3)/6? I just went through the integration by hand, but the 3/6 simplified to 1/2 so I think it should be (ah^3)/2.

[@johncimbala]

No, I just went through the integration again and it is correct. You must be doing something wrong.