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Mathématiques et Applications

Physique des Écoulements Continus

Authors: Caltagirone, Jean-Paul

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About this Textbook

La mécanique des fluides est abordée sous deux points de vue, physique et mathématique. Les bases de la mécanique des milieux continus sont d'abord présentées en détail en précisant les hypothèses et approximations qui conduisent aux lois de conservation. Les outils d'analyse des équations générales, étude en ordres de grandeurs, analyse adimensionnelle et similitude, permettent ensuite d'introduire les approximations de fluide parfait d'Euler, de fluides visqueux en régime de Stokes et de la couche limite de Prandtl. Les notions de stabilité des écoulements, de turbulence et les écoulements compressibles sont ensuite présentés. Les écoulements multiphysiques ouvrent des perspectives pour la recherche et le traitement d'applications complexes.

In this book, fluid mechanics is addressed from both physical and mathematical perspectives. As a first step, the basic theory of continuum mechanics is detailed, pointing out the different assumptions and approximations that lead to conservation laws. As a second step, scaling studies, dimensional analysis and similitude of the general equations help to introduce the inviscid Euler fluid approximation, the Stokes approximation of viscous flow and Prandtl’s boundary layer approximation. Lastly, the concepts of stability, turbulence and compressible flows are presented. Multiphysics approach of flows will provide readers with deeper insights into basic and applied research on complex processing.

Table of contents (11 chapters)

Table of contents (11 chapters)

Buy this book

eBook 33,26 €
price for Spain (gross)
  • ISBN 978-3-642-39510-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 46,79 €
price for Spain (gross)
  • ISBN 978-3-642-39509-3
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Physique des Écoulements Continus
Authors
Series Title
Mathématiques et Applications
Series Volume
74
Copyright
2013
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-39510-9
DOI
10.1007/978-3-642-39510-9
Softcover ISBN
978-3-642-39509-3
Series ISSN
1154-483X
Edition Number
1
Number of Pages
XII, 323
Number of Illustrations
120 b/w illustrations
Topics

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