Convection in Fluids: A Rational Analysis and Asymptotic Modelling (Fluid Mechanics and Its Applications, 90) - Hardcover

Zeytounian, Radyadour Kh.

Hardcover

ISBN 10: 9048124328 ISBN 13: 9789048124329

Publisher: Springer, 2009

Synopsis

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.

About this title

From the Back Cover:

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.

About this edition

• Publisher: Springer
• Publication date: 2009
• ISBN 10: 9048124328
• ISBN 13: 9789048124329
• Binding: Hardcover
• Number of pages: 411