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Transition to turbulence as a result of chaotic distortion of vortex shedding

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  • Kiselev, Andrey Ph.
  • Lebed, Igor V.

Abstract

The equations of multimoment hydrodynamics supplemented with stochastic terms are used for numerical simulation of chaotic distortion of regular regimes in the problem on flow around a solid sphere. The influence of disordered perturbations arising in the medium due to external influences is investigated. The loss of stability is accompanied by a qualitative change in the behavior of flow. Each perturbation forces the unstable flow to behave purely individually. The possibility of interpreting each of the unstable flows in terms of some average hydrodynamic values passes away. This behavior is called the butterfly effect. Independence in the behavior of disordered perturbations disappears. Conservation laws force disordered perturbations to adapt their behavior in time and space to the behavior of hydrodynamic values. A change in the behavior of disordered perturbations leads to chaotic distortion of both the regular flow in the recirculating zone and the regular regime of vortex shedding. Distortion of regular regimes creates a turbulent flow pattern in the wake behind the sphere. Vortex shedding is called the regular component of turbulence. Disordered perturbations are called the chaotic component of turbulence. The loss of stability is responsible for the growth and accumulation of disordered perturbations in the wake behind the sphere.

Suggested Citation

  • Kiselev, Andrey Ph. & Lebed, Igor V., 2021. "Transition to turbulence as a result of chaotic distortion of vortex shedding," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308833
    DOI: 10.1016/j.chaos.2020.110491
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