Convection in Fluids A Rational Analysis and Asymptotic Modelling

In the present monograph, entirely devoted to “Convection in Fluids”, the purpose is to present a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archim...

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Bibliographic Details
Main Author: Zeytounian, Radyadour Kh
Format: eBook
Language:English
Published: Dordrecht Springer Netherlands 2009, 2009
Edition:1st ed. 2009
Series:Fluid Mechanics and Its Applications
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
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245 0 0 |a Convection in Fluids  |h Elektronische Ressource  |b A Rational Analysis and Asymptotic Modelling  |c by Radyadour Kh. Zeytounian 
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505 0 |a Short Preliminary Comments and Summary of Chapters 2 to 10 -- The Navier—Stokes—Fourier System of Equations and Conditions -- The Simple Rayleigh (1916) Thermal Convection Problem -- The Bénard (1900, 1901) Convection Problem, Heated from below -- The Rayleigh—Bénard Shallow Thermal Convection Problem -- The Deep Thermal Convection Problem -- The Thermocapillary, Marangoni, Convection Problem -- Summing Up the Three Significant Models Related with the Bénard Convection Problem -- Some Atmospheric Thermal Convection Problems -- Miscellaneous: Various Convection Model Problems 
653 |a Engineering Fluid Dynamics 
653 |a Heat engineering 
653 |a Fluid mechanics 
653 |a Classical and Continuum Physics 
653 |a Thermodynamics 
653 |a Heat transfer 
653 |a Mathematical Modeling and Industrial Mathematics 
653 |a Physics 
653 |a Mass transfer 
653 |a Applications of Mathematics 
653 |a Engineering Thermodynamics, Heat and Mass Transfer 
653 |a Mathematics 
653 |a Mathematical models 
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520 |a In the present monograph, entirely devoted to “Convection in Fluids”, the purpose is to present a unified rational approach of various convective phenomena in fluids (mainly considered as a thermally perfect gas or an expansible liquid), where the main driving mechanism is the buoyancy force (Archimedean thrust) or temperature-dependent surface tension in homogeneities (Marangoni effect). Also, the general mathematical formulation (for instance, in the Bénard problem - heated from below)and the effect of the free surface deformation are taken into account. In the case of the atmospheric thermal convection, the Coriolis force and stratification effects are also considered. The main motivation is to give a rational, analytical, analysis of main above mentioned physical effects in each case, on the basis of the full unsteady Navier-Stokes and Fourier (NS-F) equations - for a Newtonian compressible viscous and heat-conducting fluid - coupled with the associated initiales (at initial time), boundary (lower-at the solid plane) and free surface (upper-in contact with ambiant air) conditions. This, obviously, is not an easy but a necessary task if we have in mind a rational modelling process with a view of a numerical coherent simulation on a high speed computer