chaos theory – ExperiMental Music

Vorticity

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  • Vorticity-0.mp3
  • Vorticity-0.mp4
  • Vorticity-I.mp3
  • Vorticity-I.mp4
  • Vorticity-intro.mp3

    • [Verse]

    The tangential velocity
    (Of the vorticity)
    It’s in the whirl
    (It’s in the swirl)

    [Chorus]

    I am…
    Caught up in the angular momentum
    (I am)
    Spinning round (and round again)

    [Bridge]

    Rotational vortex
    (Chaos is complex)
    [Instrumental, Guitar Solo]

    [Verse]

    The tenacity…
    (Of the vorticity)
    Grip on the whirl
    (Giving it a twirl)

    [Chorus]

    I am…
    Caught up in the angular momentum
    (I am)
    Spinning round (and round again)

    [Bridge]

    Rotational vortex
    (Yes, this chaos is complex)

    [Outro]

    Rotational vortex
    (Yes, this chaos is complex)

    A SCIENCE NOTE

    Key Characteristics
    1. Vorticity and Rotation:
      • Vorticity measures how much and in what direction a small fluid element rotates about its own center.
      • It does not directly indicate the speed (magnitude of velocity) of the flow but reflects the circulation and rotational nature of the motion.
      • In a Vortex:
        • High vorticity indicates strong rotational motion.
        • Zero vorticity corresponds to irrotational flow (e.g., laminar flow without rotation).
        • Units:
          • Vorticity is measured in radians per second (rad/s) in SI units, representing angular velocity per unit area.

            •  

            The velocity typically increases as matter spirals inward in a vortex, due to the conservation of angular momentum. This principle applies to various types of vortices, whether in fluids, air, or astrophysical systems like accretion disks around black holes.

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