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Navier-Stokes-Fourier Equations: A Rational Asymptotic Modelling Point of View

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en Limba Engleză Carte Paperback – 22 Feb 2014
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.
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Specificații

ISBN-13: 9783642443251
ISBN-10: 3642443257
Pagini: 292
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.45 kg
Ediția: 2012
Editura: Springer
Colecția Springer
Locul publicării: Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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 Bénard Problem.- Two RAM Applications for Atmospheric Motions.

Textul de pe ultima copertă

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.

Caracteristici

Provides a good foundation in the modelling of Newtonian fluid flowsOutlines a rationally consistent asymptotic/mathematical theory for various technological and geophysical stiff problemsBased on elementary, but logical, ideas