Navier-Stokes-Fourier equations: a rational asymptotic modelling point of view

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 thevarious partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and avery important pedagogic impact on the university education. The second facetof 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 toan 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. Provides a good foundation in the modelling of Newtonian fluid flows Outlines a rationally consistent asymptotic/mathematical theory for various technological and geophysical stiff problems Based on elementary, but logical, ideas INDICE: Some Preliminary Comments. From Euler and Navier Equations to NS-FFull 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 inAerodynamics. The RAM Approach of Bénard Problem. Two RAM Applications for Atmospheric Motions.

• ISBN: 978-3-642-20745-7
• Editorial: Springer Berlin Heidelberg
• Encuadernacion: Cartoné
• Páginas: 350
• Fecha Publicación: 30/06/2011
• Nº Volúmenes: 1
• Idioma: Inglés