Introductory Fluid Mechanics L1 p5: Velocity Field - Eulerian vs Lagrangian

[@digguscience]

This video really inspires other creators. Thank You

[@faisal_tarshon]

MAN! I wish i had a prof like u

[@hassanvlogs5455]

owesome videos...

[@nikan4now]

One question professor. how does one mathematically measure the velocity in the Eulerian description exactly? If we're looking at/fixated on one point in space (no dx,dy,dz)? Doesn't the Eulerian inherently depend on the Lagrangian to measure velocity?

[@saicharangarrepalli9590]

My guess is that is where the Material derivative comes in.

[@keshavkothari5489]

May be not because Eulerian aims on a particular area or point where fluid particles enters and exits It basically works on conservation of mass... but lagrangian process is like tracking a single fluid particle on its entire journey.

[@learningvideos3946]

No,

[@learningvideos3946]

We apply the Eulerian equation to calculate the velocity of the fluid.

[@mdeazy1408]

When you are looking at a fixated point in space the acceleration would be 0. Using the Eulerian equation if you made acceleration 0 you are left with Pressure + Specific Weight(Depth)= constant. Which is the formula for a fluid at rest.

[@chaosui3169]

great!

[@keshavkothari5489]

If (small u) is velocity component in x direction than why we still represent it as function of (x,y,z,t) ?

[@alejandrocabrera7626]

Because every component of the acceleration vector can depend on any of those variables. That is the whole point of writing something like V=V(x,y,z,t)=(Ux,Uy,Uz) That is telling you: the velocity vector V depends on x,y,z and t. Since V is composed of the elements Ux, Uy, Uz, any one of those can depend on x,y,z,t. Which is why when you try to calculate something like the total derivative of V with respect to t, you can use the chain rule to write out how time changes with respect to all the elements V depends on. Doing that gives you the material acceleration, as shown in the video.

[@learningvideos3946]

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[@imstillagamer0047]

Thanks Sir!

[@praveendintakurthi5869]

Ausgezeichnet !!

[@rohanghoshdastidar1047]

auf der heide blüht ein kleines blümelein

[@alexbn024]

Great, a lecture without any content whatsoever...