Navier-Stokes-Fourier Equations

A Rational Asymptotic Modelling Point of View

Nonfiction, Science & Nature, Science, Physics, Mechanics, Technology, Engineering, Mechanical
Cover of the book Navier-Stokes-Fourier Equations by Radyadour Kh. Zeytounian, Springer Berlin Heidelberg
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Author: Radyadour Kh. Zeytounian ISBN: 9783642207464
Publisher: Springer Berlin Heidelberg Publication: January 25, 2012
Imprint: Springer Language: English
Author: Radyadour Kh. Zeytounian
ISBN: 9783642207464
Publisher: Springer Berlin Heidelberg
Publication: January 25, 2012
Imprint: Springer
Language: English

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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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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