5 research outputs found

    Lagrangian particle paths and ortho-normal quaternion frames

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    Experimentalists now measure intense rotations of Lagrangian particles in turbulent flows by tracking their trajectories and Lagrangian-average velocity gradients at high Reynolds numbers. This paper formulates the dynamics of an orthonormal frame attached to each Lagrangian fluid particle undergoing three-axis rotations, by using quaternions in combination with Ertel's theorem for frozen-in vorticity. The method is applicable to a wide range of Lagrangian flows including the three-dimensional Euler equations and its variants such as ideal MHD. The applicability of the quaterionic frame description to Lagrangian averaged velocity gradient dynamics is also demonstrated.Comment: 9 pages, one figure, revise

    Enabling Systems Biology Approaches Through Microfabricated Systems

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    Micro Total Analysis Systems for Cell Biology and Biochemical Assays

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    Brushing up functional materials

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    Nanopropulsion from High-Energy Particle Beams via Dispersion Forces in Nanotubes

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