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 Benard
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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