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.
Author(s): Radyadour Kh. Zeytounian (auth.)
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2012
Language: English
Pages: 276
Tags: Engineering Fluid Dynamics;Fluid- and Aerodynamics;Partial Differential Equations;Meteorology/Climatology;Appl.Mathematics/Computational Methods of Engineering
Front Matter....Pages i-xvi
NS–F Equations and Modelling: A French Touch....Pages 1-15
Front Matter....Pages 17-17
Newtonian Fluid Dynamics as a Mathematical – Physical Science....Pages 19-49
From NS–F Equations to General Main Model Equations....Pages 51-80
A Typical RAM Approach: Boussinesq Model Equations....Pages 81-94
Front Matter....Pages 95-95
The Structure of Unsteady NS–F Equations at Large Reynolds Numbers....Pages 97-115
The Mathematics of the RAM Approach....Pages 117-158
Front Matter....Pages 159-159
The RAM Approach in Aerodynamics....Pages 161-191
The RAM Approach in the Bénard Convection Problem....Pages 193-211
The RAM Approach in Atmospheric Motions....Pages 213-251
Back Matter....Pages 253-276
