Navier-Stokes-Fourier equations : a rational asymptotic modelling point of view
Author(s)
Bibliographic Information
Navier-Stokes-Fourier equations : a rational asymptotic modelling point of view
Springer, c2012
Available at 11 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
ZEY||1||4200024911141
Note
Includes bibliographical references (p. 261-267) and index
Description and Table of Contents
Description
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.
Table of Contents
Some Preliminary Comments.- From Euler and Navier Equations to NS-F Full Unsready Equations.- Dimensionless NS-F Equations and Parameters.- The Mathematics of the Rational Asymptotic Modelling.- A Deconstruction Approach for an Unsteady NS-F Fluid Flow at Large Reynolds Number.- Three RAM Applications in Aerodynamics.- The RAM Approach of Benard Problem.- Two RAM Applications for Atmospheric Motions.
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