Time Dependent Non-linear Convection

This monograph reviews a range of topics in unsteady free convections. It covers the various reasons that non-linear convective flows may be time- dependent including: flow instabilities, unsteady driving mechanisms and initial conditions that imply time dependence.

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This title presents some basic topics within the area of time-dependent nonlinear convection. The first chapter gives an authoritative review of time-dependence related to instabilities in nonlinear Rayleigh-B?nard convection. Chapter 2 reviews the different convection cell patterns and focuses on their phase instabilities. Time-dependence in free-convection boundary layers and in porous media is discussed in Chapters 3 and 4. Chapter 5 is devoted to the transient layer formation caused by double-diffusive convection, while the final chapter discusses time-dependence in nonlinear convection driven by non-uniform surface tension at a free surface.