Coherent Vortex Structures in Fluids and Plasmas by Anatoli Tur & Vladimir Yanovsky

Author:Anatoli Tur & Vladimir Yanovsky
Language: eng
Format: epub
Publisher: Springer International Publishing, Cham

Fig. 3.28Typical phase portraits for various parameter regions. The number of the corresponding parameter region (see Fig. 3.27) is shown in the right bottom corner of each phase portrait. The bold line shows the positions of unstable nodes, and the thin line shows the positions of stable nodes

longitudinal component against the background of the constant component . The oscillating velocity component has discontinuities (see Fig. 3.29), and its oscillation period depends on the parameters σ, ɛ and the distance from the wall. In the parameter regions 1 and 2, these modes are realized near the wall and far from the wall and . In the parameter regions 3, 4, 7, and 8, such modes are possible only near the wall. In regions 5 and 6, only such modes are realized.

Fig. 3.29Typical shape of the oscillating component of velocity versus time

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