Research Paper (postgraduate) from the year 2024 in the subject Physics - Applied physics, , language: English, abstract: Fluidmechanical vortex coils arise as spirally arranged coherent vortex filaments. One can assign physical properties to fluid-mechanical vortex coils, but formally there is no generally valid theory about spiral vortex formations in fluid mechanics. Theoretical key statements about vortex filaments have been known for a long time; the most important are from Helmholtz. A common feature of some modern theoretical approaches to ordered vortex configurations is that they designate coherent vortex formations as connected domains of dominant vortex strength. For the phenomenology of "multiple fluid-mechanical vortex coils" (global mode n vortex coil) presented here, Helmholtz's vortex filament theory, which is considered to be reliable, is first applied to Lagrangian Coherent Structures and expanded by an approach to the inner milieu of the vortex filaments. Structures of this kind form systems that are capable of momentum induction, which in turn organizes the field at rest. For the presence of well-grouped vortex filaments, there is a conjecture about the self-organization (autopoiesis) of vortex filaments in a flow field.