Accumulation of disordered perturbations of density, velocity and pressure in an unstable system

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Abstract

A numerical study of the behavior of disordered perturbations of density, velocity and pressure in the problem of flow around a stationary solid sphere is carried out. Regular equations of multimoment hydrodynamics supplemented with stochastic components are used for the study. The statistical properties of stochastic components are identified with the statistical properties of disordered perturbations arising in the incoming flow due to external influence. It was found that the loss of stability is accompanied by the accumulation of disordered perturbations of density, velocity and pressure in the wake behind the sphere. It is shown that high values of the turbulence coefficient provide a significant accumulation of disordered disturbances, which leads to a strong distortion of the laminar flow pattern. It is found that high values of pressure and density pulsation coefficients provide an equally significant accumulation of disordered perturbations in the pressure and density.

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About the authors

I. V. Lebed

Institute of Applied Mechanics of the Russian Academy of Sciences

Author for correspondence.
Email: lebed-ivl@yandex.ru
Russian Federation, Moscow

References

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2. Fig. 1. Time behavior of coefficients characterizing the distortion of the flow velocity distribution at Re = 400, –KdU = 0.4%, t = (Re a/2U0)^t. Curve 1 defines the time dependence of the regular coefficient d^C20r(0). Curves 2 and 3 define the time dependence of the coefficient d^C20rd(0) at two arbitrary points of the twisting zone.

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3. Fig. 2. Time behavior of coefficients characterizing the distortion of the pressure distribution at Re = 400, –Kdp = 0.2%, t = (Re a/2U0)^t. Curve 1 defines the time dependence of the regular coefficient d^C7r(0). 2 and 3 are the time dependence of the coefficient d^C7rd(0) at two arbitrary points of the twisting zone.

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4. Fig. 3. Time behavior of coefficients characterizing the distortion of the particle density distribution at Re = 400, –Kdn = 0.2%, t = (Re a/2U0)^t. Curve 1 defines the time dependence of the regular coefficient d^C2r(0) . Curves 2 and 3 determine the time dependence of the coefficient d^C2rd(0) at two arbitrary points of the twisting zone.

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