Abstract
The equations of multimoment hydrodynamics are used to study the process of distortion of regular flow modes in the problem of a flow around a sphere at rest. The effect of spontaneous fluctuations, which are constantly present in the medium, regardless of the external effect, is studied. It is shown that the behavior of an unstable system is a mirror image of its behavior in the stability mode. The change in the direction of evolution of a system that has lost stability excludes the possibility of the participation of spontaneous fluctuations in the occurrence and development of turbulence. Thus, this responsibility falls entirely on the disordered perturbations that appear in the environment due to an external effect. In the absence of disordered perturbations, spontaneous fluctuations ensure the fulfillment of conservation laws in a system that has lost stability. However, spontaneous fluctuations are not able to distort the laminar flow pattern in the wake of the sphere.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
REFERENCES
I. V. Lebed’, Russ. J. Phys. Chem. B 16, 197 (2022).
R. L. Liboff, Introduction to the Theory of Kinetic Equations (Wiley, New York, 1969).
L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics (Nauka, Moscow, 1995; Pergamon, Oxford, 1980).
E. M. Lifshits and L. P. Pitaevski, Course of Theoretical Physics, Vol. 9: Statistical Physics, Part 2: The Theory of Condensed State (Nauka, Moscow, 1978; Pergamon, New York, 1980).
I. V. Lebed’, Khim. Fiz. 16 (7), 72 (1997).
I. V. Lebed, Open J. Fluid Dynam. 4, 163 (2014).
M. N. Kogan, Dynamics of a Rarefied Gas: Kinetic Theory (Nauka, Moscow, 1967) [in Russian].
I. V. Lebed, The Foundations of Multimoment Hydrodynamics, Part 1: Ideas, Methods and Equations (Nova Science, New York, 2018).
I. V. Lebed’, Khim. Fiz. 17 (3), 25 (1998).
A. F. Kiselev and I. V. Lebed’, Russ. J. Phys. Chem. B 15, 895 (2021).
A. F. Kiselev and I. V. Lebed’, Russ. J. Phys. Chem. B 15, 189 (2021).
P. Glansdorff and I. Prigogine, Thermodynamic Theory of Structure, Stability, and Fluctuations (Wiley, New York, 1971).
I. V. Lebed’, Russ. J. Phys. Chem. B 8, 240 (2014).
I. V. Lebed’ and S. Ya. Umanskii, Russ. J. Phys. Chem. B 1, 52 (2007).
I. V. Lebed’ and S. Ya. Umanskii, Russ. J. Phys. Chem. B 6, 149 (2012).
I. V. Lebed, J. Adv. Phys. 12, 5460 (2016).
A. Ph. Kiselev and I. V. Lebed, Chaos, Solitons, Fractals 142, 110491 (2021).
H. G. Schuster, Deterministic Chaos (Physik Verlag, Weinheim, 1984).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Lebed, I.V. Effect of Spontaneous Fluctuations on the Origin and Development of Turbulence: 2. Features of the Evolution of an Unstable System. Russ. J. Phys. Chem. B 16, 370–379 (2022). https://doi.org/10.1134/S199079312202018X
Received:
Revised:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S199079312202018X