Navier-Stokes-Fourier Equations
Springer Berlin (Verlag)
978-3-642-20745-7 (ISBN)
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.
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.
| Erscheint lt. Verlag | 26.1.2012 |
|---|---|
| Zusatzinfo | XVI, 276 p. |
| Verlagsort | Berlin |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 566 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Naturwissenschaften ► Geowissenschaften ► Meteorologie / Klimatologie | |
| Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik | |
| Technik ► Maschinenbau | |
| Schlagworte | Deconstruction approach • Euler equations • fluid- and aerodynamics • Fourier-Analysis • Navier-Stokessche Gleichungen • Newtonian fluids • Partial differential equations • Rational Asymptotic modeling- viscous fluids |
| ISBN-10 | 3-642-20745-6 / 3642207456 |
| ISBN-13 | 978-3-642-20745-7 / 9783642207457 |
| Zustand | Neuware |
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