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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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Gloria: for choir and brass quintet

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Gloria is a work written for SATB choir and brass quintet that uses the traditional Latin text of the Gloria found in the ordinary of the Mass. The piece is approximately fourteen minutes and explores a variety of textures, colors,

Gloria is a work written for SATB choir and brass quintet that uses the traditional Latin text of the Gloria found in the ordinary of the Mass. The piece is approximately fourteen minutes and explores a variety of textures, colors, and timbres of the brass quintet and choir. The composition uses quartal sonorities mixed with upper tertian structures while avoiding simple triads and stable root position voicings until the most important climactic moments. The Gloria opens with a fanfare presenting the initial rhythmic motive in a call and response between the brass and choir before the irregular meters of the A section enter. The piece develops a variety of sonorities, pitch collections, and timbres before arriving at the first climactic moment on the text "Rex" (King). The music slowly comes to a point of repose with a brass interlude revealing the motives used in the B section. The choir begins the B section a cappella on the text "Dómine Fili unigénite, Jésu Chríste" (Lord Jesus Christ, the only begotten Son). The section features a dialogue between the brass and choir, though the two groups never sound together. The section includes a lyrical soprano duet incorporating dissonant intervals preceding the choir's response on the text requesting the mercy of the Lord. The section comes to a somber, penitential rest ending with the brass quintet response. The piece gradually builds and accelerates to the second climactic moment on the word "Jésu." From there it once again gains momentum toward the return of the A section on the text "Cum Sáncto Spíritu" (With the Holy Spirit). After a climactic "Amen" section, the composition concludes with a return to the material found in the introduction followed by an affirming brass postlude.

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2012