By Robert Krasny, Keith Lindsay, Monika Nitsche (auth.), K. Bajer, H. K. Moffatt (eds.)
ISBN-10: 030648420X
ISBN-13: 9780306484209
ISBN-10: 1402009801
ISBN-13: 9781402009808
Modern experiments and numerical simulations express that the long-known coherent buildings in turbulence take the shape of elongated vortex tubes and vortex sheets. The evolution of vortex tubes can result in spiral buildings that are linked to the spectral strength legislation of turbulence. The mutual stretching of skewed vortex tubes, once they are just about one another, factors fast development of vorticity. even if this method may well or won't bring about a finite-time singularity is among the recognized open difficulties of fluid dynamics.
This ebook comprises the court cases of the NATO ARW and IUTAM Symposium held in Zakopane, Poland, 2-7 September 2001. The papers provided, conscientiously reviewed by way of the overseas clinical Committee, hide numerous elements of the dynamics of vortex tubes and sheets and in their analogues in magnetohydrodynamics and in quantum turbulence. The publication may be an invaluable reference for all researchers and scholars of contemporary fluid dynamics.
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Extra info for Tubes, Sheets and Singularities in Fluid Dynamics: Proceedings of the NATO RAW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics
Sample text
The width Aki in the wavenumber range of instability is determined by non-reality condition of u\. The numerical computation of oymax and Afci is feasible with a high accuracy. All of the collisions of eigenvalues lead to instability, which does not agree with the result of TW76. We show in Table 1 the numerical results for a few crossing points of two dispersion curves (9) that Linear stability of a vortex ring revisited 43 occur close to the axis of u>o = 0. The bottom row is the values for a crossing point on this axis to be explained subsequently.
We show in Table 1 the numerical results for a few crossing points of two dispersion curves (9) that Linear stability of a vortex ring revisited 43 occur close to the axis of u>o = 0. The bottom row is the values for a crossing point on this axis to be explained subsequently. Including other crossing points, o\max at the crossing points with wo ^ 0 is of the same order with each other and is significantly, say a hundred times, smaller than the case of wo = 0. We thus confirm that the non-rotating waves are far more dominant than the rotating ones.
Here we put the emphasis on the second feature and we select an axisymmetric velocity field which reads, in polar coordinates (r,6,z) as: C M) C Wi0\r,z,t) = -^r, = Tubes, Sheets and Singularities in Fluid Dynamics: Proceedings of the NATO RAW held in Zakopane, Poland, 2–7 September 2001, Sponsored as an IUTAM Symposium by the International Union of Theoretical and Applied Mechanics by Robert Krasny, Keith Lindsay, Monika Nitsche (auth.), K. Bajer, H. K. Moffatt (eds.)
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