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Navier-Stokes-Fourier Equations

A Rational Asymptotic Modelling Point of View

  • Radyadour Kh. Zeytounian

Table of contents

  1. Front Matter
    Pages i-xvi
  2. NS–F Equations and Modelling: A French Touch

    1. Radyadour Kh. Zeytounian
      Pages 1-15
  3. NAVIER-STOKES-FOURIER EQUATIONS: GENERAL MAIN MODELS

    1. Front Matter
      Pages 17-17
    2. Radyadour Kh. Zeytounian
      Pages 51-80
    3. Radyadour Kh. Zeytounian
      Pages 81-94
  4. A Sketch of a Mathematical Theory of the RAM Approach

    1. Front Matter
      Pages 95-95
    2. Radyadour Kh. Zeytounian
      Pages 117-158
  5. Applications of the RAM Approach to Aerodynamics, Thermal Convection, and Atmospheric Motions

    1. Front Matter
      Pages 159-159
    2. Radyadour Kh. Zeytounian
      Pages 161-191
    3. Radyadour Kh. Zeytounian
      Pages 193-211
    4. Radyadour Kh. Zeytounian
      Pages 213-251
  6. Back Matter
    Pages 253-276

About this book

Introduction

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.

Keywords

Deconstruction approach Euler Equations Newtonian fluids Rational Asymptotic modeling- viscous fluids

Authors and affiliations

  • Radyadour Kh. Zeytounian
    • 1
  1. 1.U.F.R. Math. Pures/Appliquees, Dept. Mecanique FondamentaleUniversite Lille IVilleneuve D'ascq CxFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-20746-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2012
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-642-20745-7
  • Online ISBN 978-3-642-20746-4
  • Buy this book on publisher's site