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

Zeytounian, Radyadour Kh.

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.

Details

Published by: Springer

Publication Date: 2014-02-22

Format: Paperback

ISBN-13: 9783642443251

DOI: 10.1007/978-3-642-20746-4

Dimensions: 235cm x155cm

Pages: 276