Is there a book(source) wich describes fluid mechanics from n-s equations?

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SUMMARY

The discussion centers on finding a comprehensive resource for understanding fluid mechanics through the Navier-Stokes (N-S) equations. Participants recommend several authoritative texts, including Spencer's book published by Dover, as well as "Introduction to Continuum Mechanics" by Lai and works by Malvern. The emphasis is on starting with the N-S equations and using deductive reasoning to explore specific cases of fluid behavior. The user expresses gratitude for the recommendations and plans to study the suggested materials thoroughly.

PREREQUISITES
  • Understanding of Navier-Stokes equations
  • Familiarity with continuum mechanics
  • Basic knowledge of fluid dynamics concepts
  • Ability to interpret mathematical approximations in physics
NEXT STEPS
  • Research "Introduction to Continuum Mechanics" by Lai
  • Explore Spencer's continuum mechanics book from Dover
  • Study Malvern's contributions to fluid mechanics
  • Investigate the derivation and applications of Navier-Stokes equations
USEFUL FOR

Students and professionals in engineering, physicists, and researchers focused on fluid dynamics and continuum mechanics who seek a structured understanding of fluid behavior through the Navier-Stokes framework.

jonjacson
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¿Is there a book(source) which describes fluid mechanics from n-s equations?

I mean that when i start to read a book on fluid mechanics I can see particular cases of compresible, incompresible, viscous... with easier equations than the navier stokes, but it is very confusing to me because I don't see a general picture of the situation.

I search for a book that begins with navier stokes equations and then, using the corresponding approximations, explains the particular cases, using deductive reasoning, non inductive.

¿Where can I find this?. A general picture of fluid mechanics would help a lot.

Thanks.
 
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The NS system of equations is nothing more than conservation of momentum (or F= dp/dt).

Any decent book on continuum mechanics will have a good discussion; Dover has a book by Spencer, there are also books by Lai and Malvern. Get thee to your library and see what's there.
 


Thanks for the answer Andy Resnick, I have found the book of Lai "Introduction to continuum mechanics" for free on the net, I will study it very carefully, I have a thorn to this topic.
 

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