Part 2: Microscopic Momentum Balances with the Navier-Stokes

Part 2 of a three-part video in which Dr. Faith Morrison shows how to apply the Navier-Stokes equation to steady flow down an inclined plane.

Category:

Education

Tags:

• fluid mechanics
• Michigan Tech

[jzsfvss]

Dr Morrison: I think you have made a mistake. The pressure along z is not constant, since gravity has a component in its direction. So the layering of equal pressures in the fluid will be horizontally, and the pressure does vary along z.

[DrMorrisonMTU]

@jzsfvss

Good morning! Gravity does have a component in the z-direction, as you say. This component of gravity causes the flow to move in the z-direction. You're thinking of fluid statics - if the fluid were not moving in the z-direction, there would be the isobars horizontally that you speak of. But the fluid can move in the z-direction, so the force of gravity goes into motion, not into fluid statics (rho g h). In the x-direction there is no motion and hence a pressure gradient.

[TheAwfulUs]

I wish you were my professor...

[pjh3228]

Hey, I'm from JHU and this lecture is way better than what I'm having right now.

[terzible]

Thanks so much! I missed a lecture because of an EWB-VCU trip, and this got me up to speed.

[VaughnCampbell]

The end of part two was like the end of halo two. Biggest cliffhamger ever!!!!

Btw thanks this is very helpful

[fuadgaya1]

it looks so easy when you doing it..Thank you so much...

[esriful]

greetings from germany! i do love your style Dr. Morrison!

[freegoa1]

Thank you.

[sundancekid122]

this is so awesome. please keep posting.