Beschreibung:
Six new chapters (14-19) deal with topics of current interest: multi-component convection diffusion, convection in a compressible fluid, convenction with temperature dependent viscosity and thermal conductivity, penetrative convection, nonlinear stability in ocean circulation models, and numerical solution of eigenvalue problems.
This book is a substantially revised edition of the author's earlier volume of the same title. It presents convection studies in a variety of fluid and porous media contexts, and will be accessible to a wide audience of applied mathematicians, physicists, and engineers.
Introduction*Illustration of the energy method*The Navier-Stokes equations and the Benard problem*Symmetry, Competing Effects, and Coupling Parameters*Convection problems in a half space*Generalized energies and the Lyapunov method*Geophysical problems*Surface tension driven convection*Convection in generalized fluids*Time dependent basic states*Electrohydrodynamic and magnetohydrodynamic convection* Ferrohydrodynamic convection*Reacting viscous fluids*Multi-component convection diffusion*Convection in a compressible fluid*Temperature dependent fluid properties* Penetrative convection*Nonlinear stability in ocean circulation models*Numerical solution of eigenvalue problems*Useful Inequalities*References*Index.