Fluid Mechanics: Topic 2.2 - Hydrostatic pressure gradient

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Can't find any video better than this ! You guys are amazing!

Mechanical_
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Dear Dr.Paul Dissension, thank you much .

muhittinselcukgoksu
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great video, I literally kind of got lost with the whole notation around half way through. Just the letters and stuff started getting jumble together. It's been awhile since Cal 3. I need to go back and review some of this stuff. Thanks again

itthus
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This is amazing! Thank you so

You guys deserve a standing ovation!

kanyinsola.a
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Dude, that was amazing, i was looking for answers of why del P = rho g and i only found it here. Thanks a lot

rafaelramos
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Thank you for the tutorial! I was wondering about the initial assumptions made at the beginning – why do no shear stresses exist? and why do the forces act at the midpoint of the faces of the fluid parcel? Thank you for your help!

jamesyu
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Could you explain the term (X +dX/2, y, z), using two dimensional diagram and drawing line distances because it is hard to see through 3D? Much

jamalnaser
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Why do we use the same pressure P for all 6 sides? ie for side 5 we used dF5 but you just said dF5 = P(x+dx/2, y, z) dydz instead of dF5 = P5(x+dx/2, y, z) dydz

spikeoac
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how can i add maclaurin series in here?

kazitawfiq
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I know
That I can trust Cal Poly Pomona

husnainhyder
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Hello sir. I am confused in the part where the P(x, y, z) got cancelled and all was left was neg (-)'partial P(x, y, z)/partial x multiplied by dxdydz.
What happened to dx/2 prior to the last equation for the x-direction?

caslucius
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Can anyone then explain why pascals law says pressure is constant everywhere?

aniruddhabhide
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hello, could you please tell me the textbook you are using! thanks, I am looking for references, Thank you sooo much

jiayiwang
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Could you explain dm, df, dz, dy, dx etc. Are those differential changes, like how would dF as a change relate to some other change?

djtfan
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Sir, i did not understand why the forces act at x+dx/2 away from the center ?

narimanemassou
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might not go to lecture anymore and just watch these videos

edroth
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what's the ''d'' for? why don't you say F5-F4 instead of dF5-dF4?

pedrampashaei
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i don't even try to understand the proof i just use the result haha

woodychelton