Skip to main content
Log in

Use of equations for transfer of particle pulsation characteristics for calculating two-phase flows in the stabilized section of a tube

  • Published:
Journal of Engineering Physics and Thermophysics Aims and scope

Abstract

A stationary isothermal system of equations defining the behavior of a two-phase rising flow in the region of steady motion of a gas suspension in an axially symmetric channel has been developed. The equation of motion of the carrying medium is closed using a one-parameter model of turbulence, and the equation of momentum transfer in the dispersed phase is closed with the use of the equations for the second, third, and fourth moments of the pulsation velocities of the particles. The main mechanisms of two-phase turbulent flows were numerically investigated.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. R. I. Nigmatulin, Principles of the Mechanics of Heterogeneous Media [in Russian], Nauka, Moscow (1978).

    Google Scholar 

  2. A. A. Shraiber, L. B. Gavin, V. A. Naumov, and V. P Yatsenko, Turbulent Gas-Suspension Flows [in Russian], Naukova Dumka, Kiev (1978).

    Google Scholar 

  3. G. N. Abramovich, On the influence of an admixture of solid particles or drops on the structure of a turbulent gas jet, Dokl. Akad. Nauk SSSR, 190,No. 5, 1052–1055 (1970).

    MathSciNet  Google Scholar 

  4. Yu. V. Zuev and I. A. Lepeshinskii, A mathematical model of a two-phase turbulent jet, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 6, 69–77 (1981).

    Google Scholar 

  5. D. Miloevich, O. P. Solonenko, and G. M. Krylov, A comparative analysis of some models of turbulent transfer of inertial particles, in: Transfer Processes in Single-and Two-Phase Media [in Russian], Inst. Teplofiziki, SO AN SSSR, Novosibirsk (1986), pp. 70–80.

    Google Scholar 

  6. L. V. Kondrat’ev, A Model and Numerical Investigation of a Turbulent Gas-Suspension Flow in a Tube, Authors’s Abstract of Candidate’s Dissertation (in Physics and Mathematics), Leningrad (1989).

  7. I. V. Derevich and V. M. Eroshenko, Calculation of the averaged velocity slip of phases in turbulent dispersed flows in channels, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 69–78 (1990).

  8. L. I. Zaichik, Equations for the probability density function of the velocity of particles in an inhomogeneous turbulent field, Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 117–124 (1996).

    Google Scholar 

  9. B. B. Rokhman, Equations of transfer of the velocity pulsation correlation moments of the dispersed phase in the stabilized region of an axisymmetric two-phase flow. I. Equations for the second moments. Algebraic relations for the third correlations, Prom. Teplotekh., 27,No. 3, 9–16 (2005).

    Google Scholar 

  10. B. B. Rokhman, Equations of transfer of the velocity pulsation correlation moments of the dispersed phase in the stabilized region of an axisymmetric two-phase flow. II. Equations for the third correlation moments. Numerical results, Prom. Teplotekh., 27,No. 4, 27–35 (2005).

    Google Scholar 

  11. B. B. Rokhman, Calculation of the turbulent momentum transfer in a solid phase on the basis of equations for the second and third moments of the particle-velocity pulsations, Inzh.-Fiz. Zh., 80,No. 2, 60–70 (2007).

    Google Scholar 

  12. L. M. Simuni, Numerical solution of problems on the nonisothermal motion of a viscous liquid in a two-dimensional tube, Inzh.-Fiz. Zh., 10,No. 1, 86–91 (1966).

    Google Scholar 

  13. Y. Tsuji, Y. Morikawa, and H. Shiomi, LDV measurements of an air-solid two-phase flow in a vertical pipe, Fluid Mech., 139, 417–434 (1984).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

__________

Translated from Inzhenerno-Fizicheskii Zhurnal, Vol. 80, No. 4, pp. 99–109, July–August, 2007.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Rokhman, B.B. Use of equations for transfer of particle pulsation characteristics for calculating two-phase flows in the stabilized section of a tube. J Eng Phys Thermophy 80, 742–750 (2007). https://doi.org/10.1007/s10891-007-0101-1

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10891-007-0101-1

Keywords

Navigation