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Navier-Stokes-Fourier Equations

A Rational Asymptotic Modelling Point of View

Radyadour Kh. Zeytounian

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Springer Berlin img Link Publisher

Naturwissenschaften, Medizin, Informatik, Technik / Maschinenbau, Fertigungstechnik

Beschreibung

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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Schlagwörter

partial differential equations, Deconstruction approach, Rational Asymptotic modeling- viscous fluids, fluid- and aerodynamics, Euler Equations, Newtonian fluids