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Heat transfer. --- Crystal growth. --- Pressure gradients. --- Fluid mechanics. --- Marangoni convection.

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The interfacial convection is a widespread phenomenon which has numerous applications. This book describes the basic models of interfacial convection used on different spatial scales. It presents a variety of physical mechanisms and types of instability characteristic for liquid systems with interfaces. The book summarizes results obtained in the field of interfacial convection during a number of decades, including recent developments in exploration of microfluidic convective flows. The book will appeal to researchers and graduate students working in the field of fluid dynamics. It will help readers to master the mathematical approaches which are used for studying convective flows and understand the underlying physical phenomena. This new edition has been updated throughout and contains the significant progress achieved in studying phenomena in ultra-thin films, in systems with phase transitions, multicomponent systems, and nanosuspensions. Reviews of first edition: “In summary, the bulk of this book is excellent…If the authors could expand the content of chapters six and seven to give the same level of coverage as the first five chapters, this would be an even more valuable resource for mathematicians, physicists and engineers working on the stability of thermocapillary flows.” (Journal of Fluid Mechanics, 2007) “This monograph pulls together the large amount of very recent theoretical and experimental works related to interfacial convection in multilayer systems and is a valuable contribution.” (Mathematical Reviews, 2007).

Fluid dynamics. --- Heat -- Convection. --- Interfaces (Physical sciences) -- Mathematics. --- Marangoni effect. --- Heat --- Interfaces (Physical sciences) --- Marangoni effect --- Fluid dynamics --- Mathematics --- Physics --- Physical Sciences & Mathematics --- Calculus --- Thermodynamics --- Convection --- Convection. --- Mathematics. --- Convection, Marangoni --- Flow, Marangoni --- Marangoni convection --- Marangoni flow --- Convection of heat --- Partial differential equations. --- Applied mathematics. --- Engineering mathematics. --- Physics. --- Fluids. --- Partial Differential Equations. --- Fluid- and Aerodynamics. --- Theoretical, Mathematical and Computational Physics. --- Applications of Mathematics. --- Hydraulics --- Mechanics --- Hydrostatics --- Permeability --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Engineering --- Engineering analysis --- Mathematical analysis --- Partial differential equations --- Math --- Science --- Fluid mechanics --- Liquid-liquid interfaces --- Differential equations, partial. --- Mathematical physics. --- Physical mathematics

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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.

Buoyant convection -- Mathematical models. --- Convection (Meteorology). --- Fluid dynamics. --- Marangoni effect -- Mathematical models. --- Buoyant convection --- Marangoni effect --- Civil & Environmental Engineering --- Physics --- Physical Sciences & Mathematics --- Engineering & Applied Sciences --- Thermodynamics --- Civil Engineering --- Mathematical models --- Mathematical models. --- Convection, Marangoni --- Flow, Marangoni --- Marangoni convection --- Marangoni flow --- Convection, Buoyant --- Physics. --- Applied mathematics. --- Engineering mathematics. --- Continuum physics. --- Thermodynamics. --- Heat engineering. --- Heat transfer. --- Mass transfer. --- Fluid mechanics. --- Classical Continuum Physics. --- Engineering Fluid Dynamics. --- Engineering Thermodynamics, Heat and Mass Transfer. --- Mathematical Modeling and Industrial Mathematics. --- Applications of Mathematics. --- Hydromechanics --- Continuum mechanics --- Mass transport (Physics) --- Transport theory --- Heat transfer --- Thermal transfer --- Transmission of heat --- Energy transfer --- Heat --- Mechanical engineering --- Chemistry, Physical and theoretical --- Dynamics --- Mechanics --- Heat-engines --- Quantum theory --- Classical field theory --- Continuum physics --- Models, Mathematical --- Simulation methods --- Engineering --- Engineering analysis --- Mathematical analysis --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Mathematics --- Liquid-liquid interfaces --- Convection --- Hydraulic engineering. --- Engineering. --- Mathematics. --- Classical and Continuum Physics. --- Construction --- Industrial arts --- Technology --- Engineering, Hydraulic --- Fluid mechanics --- Hydraulics --- Shore protection --- Math --- Science

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This book presents a collection of works published in a recent Special Issue (SI) entitled “Computational Fluid Dynamics”. These works address the development and validation of existent numerical solvers for fluid flow problems and their related applications. They present complex nonlinear, non-Newtonian fluid flow problems that are (in some cases) coupled with heat transfer, phase change, nanofluidic, and magnetohydrodynamics (MHD) phenomena. The applications are wide and range from aerodynamic drag and pressure waves to geometrical blade modification on aerodynamics characteristics of high-pressure gas turbines, hydromagnetic flow arising in porous regions, optimal design of isothermal sloshing vessels to evaluation of (hybrid) nanofluid properties, their control using MHD, and their effect on different modes of heat transfer. Recent advances in numerical, theoretical, and experimental methodologies, as well as new physics, new methodological developments, and their limitations are presented within the current book. Among others, in the presented works, special attention is paid to validating and improving the accuracy of the presented methodologies. This book brings together a collection of inter/multidisciplinary works on many engineering applications in a coherent manner.

Research & information: general --- Mathematics & science --- homogeneous-heterogeneous reactions --- porous medium --- first slip --- second slip --- exact solution --- fluid structure-interaction --- vibration suppression --- entropy generation minimization --- sloshing --- damping factor --- porous slider --- MHD flow --- reynolds number --- velocity slip --- homotopy analysis method --- Casson nanoliquid --- Marangoni convection --- inclined MHD --- Joule heating --- heat source --- third-grade liquid --- heat generation/absorption --- stretched cylinder --- series solution --- slip effects --- mixed convection flow --- cross fluid --- Darcy–Forchheimer model --- successive local linearization method --- swimming gyrotactic microorganisms --- Darcy law --- nanofluid --- unsteady flow --- non-axisymmetric flow --- MHD --- hybrid nanofluid --- stagnation-point flow --- ferrofluid --- Lie group framework --- unsteady slip flow --- stretching surface --- thermal radiation --- lattice Boltzmann method --- smoothed profile method --- hybrid method --- natural convection simulation --- concentric hexagonal annulus --- CMC-water --- Casson fluid --- mixed convection --- solid sphere --- scaling group analysis --- Sutterby fluid --- magnetohydrodynamics (MHD) --- stability analysis --- entropy --- nanoliquid --- moving wall --- unsteady stagnation point --- convective boundary condition --- Hyperloop system --- transonic speed --- aerodynamic drag --- drag coefficient --- pressure wave --- shockwave --- nanofluids --- heat generation --- sphere --- plume --- finite difference method --- gas turbine --- damaged rotor blade --- leading-edge modification --- aerodynamic characteristics --- micropolar hybrid nanofluid --- dual solution --- stretching/shrinking sheet --- Sisko fluid flow --- gold particles --- radiation effect --- slip effect --- curved surface --- Reiner-Rivlin nanofluid --- circular plates --- induced magnetic effects --- activation energy --- bioconvection nanofluid --- steady flow --- Tiwari and Das model --- Prandtl-Eyring nanofluid --- entropy generation --- implicit finite difference method --- homogeneous-heterogeneous reactions --- porous medium --- first slip --- second slip --- exact solution --- fluid structure-interaction --- vibration suppression --- entropy generation minimization --- sloshing --- damping factor --- porous slider --- MHD flow --- reynolds number --- velocity slip --- homotopy analysis method --- Casson nanoliquid --- Marangoni convection --- inclined MHD --- Joule heating --- heat source --- third-grade liquid --- heat generation/absorption --- stretched cylinder --- series solution --- slip effects --- mixed convection flow --- cross fluid --- Darcy–Forchheimer model --- successive local linearization method --- swimming gyrotactic microorganisms --- Darcy law --- nanofluid --- unsteady flow --- non-axisymmetric flow --- MHD --- hybrid nanofluid --- stagnation-point flow --- ferrofluid --- Lie group framework --- unsteady slip flow --- stretching surface --- thermal radiation --- lattice Boltzmann method --- smoothed profile method --- hybrid method --- natural convection simulation --- concentric hexagonal annulus --- CMC-water --- Casson fluid --- mixed convection --- solid sphere --- scaling group analysis --- Sutterby fluid --- magnetohydrodynamics (MHD) --- stability analysis --- entropy --- nanoliquid --- moving wall --- unsteady stagnation point --- convective boundary condition --- Hyperloop system --- transonic speed --- aerodynamic drag --- drag coefficient --- pressure wave --- shockwave --- nanofluids --- heat generation --- sphere --- plume --- finite difference method --- gas turbine --- damaged rotor blade --- leading-edge modification --- aerodynamic characteristics --- micropolar hybrid nanofluid --- dual solution --- stretching/shrinking sheet --- Sisko fluid flow --- gold particles --- radiation effect --- slip effect --- curved surface --- Reiner-Rivlin nanofluid --- circular plates --- induced magnetic effects --- activation energy --- bioconvection nanofluid --- steady flow --- Tiwari and Das model --- Prandtl-Eyring nanofluid --- entropy generation --- implicit finite difference method