Derivation of the Continuity Equation

Derives the continuity equation for a rectangular control volume. Made by faculty at the University of Colorado Boulder, Department of Chemical and Biological Engineering.
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[hattywest]

if there could be an academy award for the explanation of an equation I'd vote for it till my arms fell off

[katharinelewis]

Incredibly well explained. Thank you for this!

[kevinchen]

so much easier to understand than with the vectors stuff my professor uses. thanks!

[DrMohaAli]

that is why we come here youtube.. thank you very much it is very well explanation

[atheerhashim]

IN 2:35, I "think not sure" there is a dt that is the amount of time elapsed in : M^. in - M^. out =dM/dt, then will be omitted when dividing by dx dy dz and dt in 4:05 to give the same equation in 4:23 and so on.
However, you have shown a clear, intensive, simplified and qualitative derivation.

[michaelcooper]

Is this derivation different from the Reynolds Transport Theorem?

[wise]

Why does the mass difference is equal to dm /dt? Please elaborate. Thank you?

[LENROC]

Omg, what a perfect expanation, Thank you!

[kaursingh]

thank u sir for excellent presentation

[andregomesnf]

I didn't understand the 4:42 step. How does it become 3 partial derivates?

[zahravali]

You considered that velocity is changing in space along the dx, dy and dz but density is not! But finally at the end you put the density inside the divergence, how did you do that ? Density also can change in space.

[hamidzahid]

you use partial or complete derivative in continuity equation??

[yusuf]

how did d(rho)/dt become partial derivative(rho)/partial derivative t

[nielswellens]

Can someone give me a proof in the lagrangian frame of reference?

[kimberlyr]

Please start making transport videos :-)

[varuns]

I didn't understand how in de mass outlet eqn in the x direction the velocity is at x +dx