Periodically forced natural convection over slowly varying topography

Natural Convection in a Periodically Heated Slot

Heat transfer resulting from the natural convection in a fluid layer contained in an infinite horizontal slot bounded by solid walls and subject to a spatially periodic heating at the lower wall has been investigated. The heating produces sinusoidal temperature variations along one horizontal direction characterized by the wave number α with the amplitude expressed in terms of a suitably define...

A Note on Linear Surface WaveCurrent Interaction Over Slowly Varying Topography

A mild slope wave equation is derived which governs the propagation of linear surface waves in the presence oflarge ambient currents. The equation is shown to differ from two previously derived models, and arguments for the validity of the new version in comparison to previous versions are presented. A linearizcd evolution equation and parabolic equation approximation are constructed in order t...

Periodically Forced Hopf Bifurcation

We study a periodically forced system of ODEs near a point of Hopf bifurcation, where the forcing frequency ωF is near the Hopf frequency ωH and the forcing amplitude ε is small. We assume that in this system only the forcing frequency is varied and we determine all small amplitude periodic solutions of the forced system that have frequency ωF . In other words, we examine the influence of the f...

Transients in natural ventilation – A time-periodically- varying source

Almost Periodically Forced Circle Flows

We study general dynamical and topological behaviors of minimal sets in skewproduct circle flows in both continuous and discrete settings, with particular attentions paying to almost periodically forced circle flows. When a circle flow is either discrete in time and unforced (i.e., a circle map) or continuous in time but periodically forced, behaviors of minimal sets are completely characterize...