TY - BOOK ID - 7540292 TI - Convection in fluids : a rational analysis and asymptotic modelling PY - 2009 SN - 940073672X 9048124328 9786612332715 1282332716 9048124336 PB - Dordrecht : Springer, DB - UniCat KW - Buoyant convection -- Mathematical models. KW - Convection (Meteorology). KW - Fluid dynamics. KW - Marangoni effect -- Mathematical models. KW - Buoyant convection KW - Marangoni effect KW - Civil & Environmental Engineering KW - Physics KW - Physical Sciences & Mathematics KW - Engineering & Applied Sciences KW - Thermodynamics KW - Civil Engineering KW - Mathematical models KW - Mathematical models. KW - Convection, Marangoni KW - Flow, Marangoni KW - Marangoni convection KW - Marangoni flow KW - Convection, Buoyant KW - Physics. KW - Applied mathematics. KW - Engineering mathematics. KW - Continuum physics. KW - Thermodynamics. KW - Heat engineering. KW - Heat transfer. KW - Mass transfer. KW - Fluid mechanics. KW - Classical Continuum Physics. KW - Engineering Fluid Dynamics. KW - Engineering Thermodynamics, Heat and Mass Transfer. KW - Mathematical Modeling and Industrial Mathematics. KW - Applications of Mathematics. KW - Hydromechanics KW - Continuum mechanics KW - Mass transport (Physics) KW - Transport theory KW - Heat transfer KW - Thermal transfer KW - Transmission of heat KW - Energy transfer KW - Heat KW - Mechanical engineering KW - Chemistry, Physical and theoretical KW - Dynamics KW - Mechanics KW - Heat-engines KW - Quantum theory KW - Classical field theory KW - Continuum physics KW - Models, Mathematical KW - Simulation methods KW - Engineering KW - Engineering analysis KW - Mathematical analysis KW - Natural philosophy KW - Philosophy, Natural KW - Physical sciences KW - Mathematics KW - Liquid-liquid interfaces KW - Convection KW - Hydraulic engineering. KW - Engineering. KW - Mathematics. KW - Classical and Continuum Physics. KW - Construction KW - Industrial arts KW - Technology KW - Engineering, Hydraulic KW - Fluid mechanics KW - Hydraulics KW - Shore protection KW - Math KW - Science UR - https://www.unicat.be/uniCat?func=search&query=sysid:7540292 AB - 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. ER -