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Convection in Fluids: A Rational Analysis and Asymptotic Modelling
This monograph, entirely devoted to “Convection in Fluids”, presents 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 free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered.

This volume gives a rational and analytical analysis of the above mentioned physical effects 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 initials (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, and work within a numerically coherent simulation on a high speed computer.

1116791557
Convection in Fluids: A Rational Analysis and Asymptotic Modelling
This monograph, entirely devoted to “Convection in Fluids”, presents 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 free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered.

This volume gives a rational and analytical analysis of the above mentioned physical effects 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 initials (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, and work within a numerically coherent simulation on a high speed computer.

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Convection in Fluids: A Rational Analysis and Asymptotic Modelling

Convection in Fluids: A Rational Analysis and Asymptotic Modelling

by Radyadour Kh. Zeytounian
Convection in Fluids: A Rational Analysis and Asymptotic Modelling

Convection in Fluids: A Rational Analysis and Asymptotic Modelling

by Radyadour Kh. Zeytounian

Overview

This monograph, entirely devoted to “Convection in Fluids”, presents 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 free surface deformation are taken into account. In the case of atmospheric thermal convection, the Coriolis force and stratification effects are also considered.

This volume gives a rational and analytical analysis of the above mentioned physical effects 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 initials (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, and work within a numerically coherent simulation on a high speed computer.

Product Details

ISBN-13: 9789400736726
Publisher: Springer Netherlands
Publication date: 02/25/2012
Series: Fluid Mechanics and Its Applications , #90
Edition description: 2009
Pages: 396
Product dimensions: 6.10(w) x 9.25(h) x 0.03(d)

Table of Contents

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.
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