Resources for learning more about Navier-Stokes Equations

[JungleKing]

Summary: I'm looking to learn more about the Navier Stokes Equations and Laplace's Tidal Equations. Do you know of any books/resources/ problems I can go over to learn how they work.

I've studied physics and math in school and I'm looking to learn more about fluid mechanics and Laplace's Tidal equations. Ideally, I'm looking for any resources that go over the fundamentals of how they work and how to apply them to real-world examples. This can be books, websites, journals, papers, professors, or anyone that has produced content that gives an introduction and thorough example of how they work.

Thanks

 

[jedishrfu]

Found this resource on the MIT OpenCourseWare site:

https://ocw.mit.edu/courses/12-802-...ere-spring-2008/resources/mit12_802s08_lec11/

and this pdf

A Coupled Model for Laplace's Tidal Equations in a Fluid with One ...​

 

[jedishrfu]

Here's a college textbook on Fluid Mechanics but from the index there is no explicit mention of Laplace Tidal Equations only Laplace Equations.

https://www.sciencedirect.com/book/9780123821003/fluid-mechanics

 

[Arjan82]

Here's a college textbook on Fluid Mechanics but from the index there is no explicit mention of Laplace Tidal Equations only Laplace Equations.

https://www.sciencedirect.com/book/9780123821003/fluid-mechanics

That's actually a very good book, one of the authors (Pijush Kundu) of which was concerned with oceanoghraphics. So it does contain some references to tidal waves and shallow waves and it is a good introduction to fluid mechanics all together. But it does not contain Laplace's tidal equations.

you also have Lighthill's 'Waves in Fluids', which contains a lot of information about waves, but AFAIK again not the one you are looking for.
https://www.amazon.com/dp/0521010454/?tag=pfamazon01-20

Lastly there is also the book "Wave Motion" from Billingham and King, which again contains lots of stuff about waves, also shallow water and tidal waves. But, again AFAIK no explicit mention of Laplace's tidal equations.
https://www.amazon.com/dp/B016MYWPOQ/?tag=pfamazon01-20

 

[Lord Jestocost]

Check "Hydrodynamics" by Horace Lamb.

 

[Chestermiller]

Transport Phenomena by Bird, Stewart, and Lightfoot

 

[JungleKing]

https://ocw.mit.edu/courses/12-802-...ere-spring-2008/resources/mit12_802s08_lec11/

and this pdf

A Coupled Model for Laplace's Tidal Equations in a Fluid with One ...​

Hey, thanks for sending these. I checked out the MIT link. There seemed to be some mistakes between their figure and their equations (using w instead of z). They also didn't show how they chose their potential energies and the last two equations. I'll keep looking through them though.