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The concentration fields of disperse impurity are calculated on the basis of a k-e model of turbulence in a wide range of Stokes numbers.

Calculating the concentration fields of disperse impurity is one of the most important problems in the numerical modeling of two-phase turbulent jets. The character of the impurity distribution in the jet for the case of solid particles is determined by two basic mechanisms: turbulent diffusion of particles and their migrational transfer, which is due to the initial rotation of the particles, acquired in impacts on the tube wall, and the presence of phase slipping. One characteristic of the first mechanism is the Schmidt number Sc = 9t/ Dp, for which a theoretical dependence was obtained for the first time in [i] within the framework of the theory of Prandtl mixing paths. In [2], it was shown that, in taking account of the initial particle velocity of the particles incident in a turbulent mole, an analog of the Schmidt number may be obtained for a two-phase flow, permitting transition in the limit to the Schmidt number for a gas with reduction in particle size. However, calculation by this model gives an underestimate of the damping rate of the axial concentration distribution of the impurity, which has prompted the construction of various approaches determining the diffusional properties of a heavy impurity in a turbulent jet [3]. As shown by experiment [4], migrational transfer of impurity, causing the phenomena of concentration and dispersion, dominates in the initial section of the jet, and may be described by taking account of Magnus forces and radial phase slipping [5]. Nevertheless, the calculation scheme for a two-phase turbulent jet proposed in [5] is sufficiently cumbersome: calculation of the two-phase jet is preceded by solution of the problem of the emission of a one-phase jet, and then the turbulent transfer coefficients are found, taking account of the influence of particles on the theory [2]. Models of second-order turbulence are promising for the calculation of two-phase jets. In the present work, the distribution of concentration fields of the disperse phase in a turbulent jet on the basis of a two-parameter model is investigated numerically, using the transfer equations of pulsational energy and the rate of its dissipation. The dynamic phase interaction is determined, as in [5], by the drag force and the Magnus force. The system of equations for the mean quantities describing the emission of an axisymmetric turbulent gasdisperse jet, taking account of phase slipping and particle rotation, takes the form aug + I a