Overview
- Provides a good foundation in the modelling of Newtonian fluid flows
- Outlines a rationally consistent asymptotic/mathematical theory for various technological and geophysical stiff problems
- Based on elementary, but logical, ideas
- Includes supplementary material: sn.pub/extras
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Table of contents (9 chapters)
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Front Matter
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NS–F Equations and Modelling: A French Touch
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NAVIER-STOKES-FOURIER EQUATIONS: GENERAL MAIN MODELS
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Front Matter
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A Sketch of a Mathematical Theory of the RAM Approach
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Front Matter
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Applications of the RAM Approach to Aerodynamics, Thermal Convection, and Atmospheric Motions
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Front Matter
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Back Matter
Keywords
About this book
This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education.
The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of fluid flows modeling on the basis of a typical Navier-Stokes-Fourier initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff  problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.
Authors and Affiliations
Bibliographic Information
Book Title: Navier-Stokes-Fourier Equations
Book Subtitle: A Rational Asymptotic Modelling Point of View
Authors: Radyadour Kh. Zeytounian
DOI: https://doi.org/10.1007/978-3-642-20746-4
Publisher: Springer Berlin, Heidelberg
eBook Packages: Engineering, Engineering (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2012
Hardcover ISBN: 978-3-642-20745-7Published: 26 January 2012
Softcover ISBN: 978-3-642-44325-1Published: 22 February 2014
eBook ISBN: 978-3-642-20746-4Published: 25 January 2012
Edition Number: 1
Number of Pages: XVI, 276
Topics: Engineering Fluid Dynamics, Fluid- and Aerodynamics, Partial Differential Equations, Atmospheric Sciences, Mathematical and Computational Engineering