Complete Analytical Exact Solutions of Navier-Stokes Eqs: Fluid Mechanics Book

[makethings]

Is there a book, series of notes, lectures, PDF, PPT or anything that contains all known complete analytical exact solutions of the Navier-Stokes equations?

 

[Topher925]

Not to my knowledge. As far as I know, information regarding exact solutions to the N-S equations is mostly just published in several papers.

 

[makethings]

Well then, I wonder if I should make it my mission to search deep into every fluids text and journal paper and compile one myself.

 

[Danger86514]

An exact solution of the Navier-Stokes equations for magnetohydrodynamic flow

Journal Acta Mechanica
Publisher Springer Wien
ISSN 0001-5970 (Print) 1619-6937 (Online)
Issue Volume 113, Numbers 1-4 / March, 1995


maybe this is what you are looking for

 

[Topher925]

Well then, I wonder if I should make it my mission to search deep into every fluids text and journal paper and compile one myself.

You could. But from what I understand, the conditions in which an exact solution can be found are not really applicable to anything useful. So in a nutshell, when people are looking for solutions to real life fluid mechanics problems they don't go looking for an exact solution but a method to give them an accurate approximation.

 

[Cyrus]

Well then, I wonder if I should make it my mission to search deep into every fluids text and journal paper and compile one myself.

Don't waste your time.

 

[FredGarvin]

To my knowledge, there are very few exact solutions to the NS equations. The conditions that could be solved are very simple.

Here's an intro to a journal paper:
http://arjournals.annualreviews.org/doi/abs/10.1146/annurev.fl.23.010191.001111