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

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There is currently no comprehensive book or resource that compiles all known complete analytical exact solutions of the Navier-Stokes equations. Most information on exact solutions is found in various academic papers rather than a centralized source. One user expresses interest in undertaking a project to compile these solutions from existing literature. However, it is noted that the conditions under which exact solutions can be derived are often too simplistic to be applicable to real-world fluid mechanics problems. Consequently, practitioners typically seek methods for accurate approximations rather than exact solutions. The discussion emphasizes the limited scope and utility of exact solutions in practical applications.
makethings
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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?
 
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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.
 
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.
 
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
 
makethings said:
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.
 
makethings said:
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.
 
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
 
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