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Dynamics of Ferrofluidic Flow in the Taylor-Couette System With a Small Aspect Ratio

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We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined be-tween two concentric independently rotating cylinders - consider small aspect ratio by solving the ferro-hydrodynamical equations, carrying out systematic bifurcation analysis. Without magnetic field, we find steady flow

We investigate fundamental nonlinear dynamics of ferrofluidic Taylor-Couette flow - flow confined be-tween two concentric independently rotating cylinders - consider small aspect ratio by solving the ferro-hydrodynamical equations, carrying out systematic bifurcation analysis. Without magnetic field, we find steady flow patterns, previously observed with a simple fluid, such as those containing normal one- or two vortex cells, as well as anomalous one-cell and twin-cell flow states. However, when a symmetry-breaking transverse magnetic field is present, all flow states exhibit stimulated, finite two-fold mode. Various bifurcations between steady and unsteady states can occur, corresponding to the transitions between the two-cell and one-cell states. While unsteady, axially oscillating flow states can arise, we also detect the emergence of new unsteady flow states. In particular, we uncover two new states: one contains only the azimuthally oscillating solution in the configuration of the twin-cell flow state, and an-other a rotating flow state. Topologically, these flow states are a limit cycle and a quasiperiodic solution on a two-torus, respectively. Emergence of new flow states in addition to observed ones with classical fluid, indicates that richer but potentially more controllable dynamics in ferrofluidic flows, as such flow states depend on the external magnetic field.

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2017-01-06

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On the chair of the universe: a Beetle-shaped glass buckles

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This composition was commissioned by the Orgelpark to be performed in Amsterdam in September 2011 during Gaudeamus Muziekweek. It will be performed by the vocal group VocaalLab Nederland. It is scored for four vocalists, organ, tanpura, and electronic sound. The

This composition was commissioned by the Orgelpark to be performed in Amsterdam in September 2011 during Gaudeamus Muziekweek. It will be performed by the vocal group VocaalLab Nederland. It is scored for four vocalists, organ, tanpura, and electronic sound. The work is a culmination of my studies in South Indian Carnatic rhythm, North Indian classical singing, and American minimalism. It is a meditation on the idea that the drone and pulse are micro/macro aspects of the same phenomenon of vibration. Cycles are created on the macroscale through a mathematically defined scale of harmonic/pitch relationships. Cycles are created on the microscale through the subdivision and addition of rhythmic pulses.

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2011