We consider the effect of surface mass flux and forced axial flow on the boundary-layer flows over rotating spheres, with a view to establishing flow-control mechanisms for rotating flows of engineering significance. A theoretical study is presented which considers the onset of convective instability modes (both stationary and travelling relative to the rotating surface) and local absolute inst...

The onset of convection in the form magneto-inertial waves a rotating fluid sphere permeated by constant axial electric current is studied through perturbation analysis. Explicit expressions for dependence Rayleigh number on azimuthal wavenumber are derived limit high thermal diffusivity. Results case thermally infinitely conducting boundaries and nearly insulating obtained.

The onset of surface fluidization of granular material in a vertically vibrated container, z = A cos (ωt), is studied experimentally. Recently, for a column of spheres it has been theoretically found [1] that the particles lose contact if a certain condition for the acceleration amplitude z̈ ≡ Aω/g = f(ω) holds. This result is in disagreement with other findings where the criterion z̈ = z̈crit = c...

Abstract We develop the first model for extreme mass-ratio inspirals (EMRIs) into a rotating massive black hole driven by gravitational self-force (GSF). Our is based on an action angle formulation of method osculating geodesics eccentric, equatorial (i.e., spin-aligned) motion in Kerr spacetime. The forcing terms are provided efficient spectral interpolation first-order GSF outgoing radiation ...

We derive a concise and general expression of the energy dissipation rate for coupled oscillators rotating on circular trajectories by unifying the nonequilibrium aspects with the nonlinear dynamics via stochastic thermodynamics. In the framework of phase oscillator models, it is known that the even and odd parts of the coupling function express the effect on collective and relative dynamics, r...