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Determination of the correlation dimension of an attractor in a pipe based on the theory of stochastic equations and equivalence of measures

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, , Citation A V Dmitrenko 2019 J. Phys.: Conf. Ser. 1250 012001 DOI 10.1088/1742-6596/1250/1/012001

1742-6596/1250/1/012001

Abstract

Scientific discovery of the physical law of the equivalence of measures and the system of the stochastic equations for the determination onset of turbulence in isothermal and non-isothermal flows has created the new way in stochastic theory of turbulence. It was shown that derived new formulas for critical Reynolds numbers and critical point, for the velocity and temperature profiles, for the second-order correlation, heat transfer and friction coefficients give satisfactory agreement with the classical experimental data for these flow characteristics.Using these new dependences the new formula and result of calculation of the correlation dimension of the attractor for the flow in the tube are presented.

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10.1088/1742-6596/1250/1/012001