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Derivation and numerical solution of a system of equations for the single-point probability density and conventional rate of dissipation of turbulent pulsations of a scalar field

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Abstract

On the basis of the authors’ earlier closed equation for the joint probability density function of pulsations of an isotropic turbulent scalar field and its gradient, we derived and solved numerically a system of equations for the single-point probability density and conventional rate of scalar dissipation (CRSD) of fluctuations of a passive scalar field. In closing the equation for the CRSD, the hypothesis that the effect of pulsations of this function on its evolution is of no consequence is adopted. The system includes equations for functions that describe the distribution of turbulent energy and the intensity of scalar pulsations over different length scales.

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Authors
  1. V. A. Babenko
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  2. V. A. Sosinovich
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  3. Yu. V. Zhukova
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Additional information

Academic Scientific Complex "A. V. Luikov Heat and Mass Transfer Institute of the National Academy of Sciences of Belarus," Minsk, Belarus. Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 72, No. 2, pp. 275–288, March–April, 1999.

The work was carried out with support from the Fund for Fundamental Research of the Republic of Belarus, project T95-181.

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Babenko, V.A., Sosinovich, V.A. & Zhukova, Y.V. Derivation and numerical solution of a system of equations for the single-point probability density and conventional rate of dissipation of turbulent pulsations of a scalar field. J Eng Phys Thermophys 72, 254–267 (1999). https://doi.org/10.1007/BF02699148

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  • DOI: https://doi.org/10.1007/BF02699148

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