The Continuity Equation (Fluid Mechanics - Lesson 6)

A simplified derivation and explanation of the continuity equation, along with 2 examples.

[blee]

Jazz major here! Thanks for the sweet vid!

[jessicacooper]

Engineering student here, thank you for the video!

[MrHEAVY]

This 6 minute video just clarified 3 hrs of my professor's lecture

[SarahCarvela]

Thank you sir! From a biochem major trying to understand physics. <3

[NK-iyif]

Thank you for the thorough but concise explanation, it was very helpful!

[MatisCCCC]

environmental engineering student here, thanks Prof.

[alphatech]

Thank you very much. It clear and easy to learn than I thought.

[Startpixie]

Was it necessary to do unit conversion in the second example because all the units would be ultimately canceled out?

[thefenerbahcesk]

For whatever reason this is important for the MCAT

[firman.akhmad]

How to understanding this case, when we have reduced cross section (A) in pipeline (caused by valve half closing) the time to fill up in a tank is different when I fully open the valve and half open, does this mean flow (Q) in faucet valve end is less than the source? Kindly explain, thanks

[Startpixie]

Thanks for a great video! But in the first example, how come he didn’t convert the cm values into m for raidus ?the speed was given in m/s

[bano]

continuity equation the first key to solve hydraulic problems.
Q=V/t
Q=v.A
The tow equation the same but the 1st V volume, the 2nd equation v mean velocity
verify your equation by its units
Q=cm3/sec.   V=cm3  t=sec  if you divide =cm3/sec  the equation right.
Q=cm3/sec    v=cm/sec A =area=cm2 then{ cm/sec x cm2} =cm3/sec the equation right.

[christianarrizon]

So basically what ur saying is that any amount that enters in one end the same amount comes out in the other ????

[ehda]

I might be a 5 years late for this video, but sir you are fking amazing, teaching is a talent and you got that talent

[elifugur]

quick question.. So since the blood vessels are considered to be a closed circuit, the flow rate should be constant at every point in the circulatory system. The law of continuity basically states this. But when you consider poiseuille's law, the flow rate is proportional to r^4. So if we were to have constriction of the blood vessels, then the flow rate would decrease. But then as stated earlier shouldn't flow rate be maintained constant throughout the body regardless of the radius of the vessels? I would appreciate it greatly if someone can help me out. Thanks

[christinadc]

Superb video!! It's so informative now I could explain it easily and no need to study on books. Thanks sir amazing explanation.I wish if my physics teacher would have watched this video before giving that boring lecture. :D

[sara-hrfg]

2 hours before my test i want to say thank you much that helps me alot i understand everything in 6 minutes from you and my teacher who explained it for a week well nothing from him so thank you so much

[nowthenad]

If I have a tap being supplied with 1/2" pipe and I want to attach a hosepipe to that tap, will I obtain a greater flow rate at the end of a 30m hose pipe if the pipe is 3/4" instead of 1/2"?

[daniellecoutre]

so the volume of section 1 equals the volume of section 2??

[soorajnair]

In your calculations velocity in meter per sec and radius in cm.why don't you convert radius cm in to meters. While calculations all units should be same ryt?