Navier-Stokes-Fourier Equations

Outlining a Navier-Stokes-Fourier modeling theory for a Newtonian fluid governing compressible viscous and heat conducting flows, this monograph deconstructs the model and illustrates the theory through various technological and geophysical problems.

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.

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 Includes supplementary material: sn.pub/extras

Inhalt
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.