Skip to main content
SpringerLink
Log in

Theoretical analysis and numerical computation of dilute solid/liquid two-phase pipe flow

  • Published:
Science in China Series E: Technological Sciences Aims and scope Submit manuscript

Abstract

Starting with the kinetic theory for dilute solid/liquid two-phase flow, a mathematical model is established to predict the flow in a horizontal square pipe and the predictions are compared with LDV measurements. The present model predicts correctly two types of patterns of the vertical distribution of particle concentration observed in experiments, and also gives different patterns of the distribution of particle fluctuating energy. In the core region of the pipe, the predicted mean velocity of particles is smaller than that of liquid, but near the pipe bottom the reverse case occurs. In addition, full attention is paid to the mechanism for the vertical distribution of the average properties of particles such as concentration and mean velocity. From the kinetic-theory point of view, the cause of formation for different patterns of the vertical concentration distribution is not only related to the lift force exerted on a particle, but also related to the distribution of particle fluctuating energy.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Liu Dayou, Fluid Dynamics of Two-Phase Systems (in Chinese), Beijing: Higher Education Press, 1993.

    Google Scholar 

  2. Ni Jinren, Wang Guangqian, Zhang Hongwu, Basic Theories of Solid-Liquid Two-Phase Flows and Their Recent Applications (in Chinese), Beijing: Science Press, 1991.

    Google Scholar 

  3. Wang, G. Q., Ni, J. R., The kinetic theory for dilute solid/liquid two-phase flow, Int. J. Multiphase Flow, 1991, 17: 273.

    Article  MATH  Google Scholar 

  4. Wang Guangqian, Ni Jinren, Kinetic theory for particle concentration distribution in two-phase flow, J. Eng. Mech., 1990, 116: 2738.

    Article  Google Scholar 

  5. Ding, J. M., Gidaspow, D., A bubbling fluidization model using kinetic theory of granular flow, AIChE Journal, 1990, 36: 523.

    Article  Google Scholar 

  6. Louge, M. Y., Mastorakos, E., Jenkins, J. T., The role of particle collisions in pneumatic transport, J. Fluid Mech., 1991, 231: 345.

    Article  MATH  Google Scholar 

  7. Cao, J., Ahmadi, G., Gas-particle two-phase turbulent flow in a vertical duct, Int. J. Multiphase Flow, 1995, 21(6): 1203.

    Article  MATH  Google Scholar 

  8. Jenkins, J. T., Savage, S. B., A theory for the rapid flow of identical smooth, nearly elastic, spherical particles, J. Fluid. Mech., 1983, 130: 187.

    Article  MATH  Google Scholar 

  9. Rizk, M. A., Elghobashi, S. E., On the motion of a, spherical particle suspended in a turbulent flow near a plane wall, Phys. Fluids, 1985, 28: 806.

    Article  MATH  Google Scholar 

  10. Crowe, C. T., Sommerfeld, M., Tsuji, Y., Multiphase Flows with Droplets and Particles, Florida: CRC Press, 1998.

    Google Scholar 

  11. Owen, P. R., Pneumatic transport, J. Fluid Mech., 1969, 39: 407.

    Article  Google Scholar 

  12. Wang Guangqian, The kinetic theory with experimental studies for the solid/liquid two-phase flow and granular flow, Ph. D. Thesis, Department of Hydraulic Engineering, Tsinghua Univ., Beijing, China, 1989.

    Google Scholar 

  13. Gidaspow, D., Multiphase Flow and Fluidization: Continuum and Kinetic Theory Descriptions, San Diego: Academic Press, 1994.

    MATH  Google Scholar 

  14. Koch, D. L., Kinetic theory for a monodisperse gas-solid suspension, Phys. Fluids A, 1990, 2: 1711.

    Article  MATH  Google Scholar 

  15. Peirano, E., Leckner, B., Fundamentals of turbulent gas-solid flows applied to circulating fluidized bed combustion, Prog. Energy Combust. Sci., 1998, 24: 259.

    Article  Google Scholar 

  16. Jenkins, J. T., Boundary conditions for rapid granular flow: flat frictional walls, J. Appl. Mech., 1992, 59: 120.

    Article  MATH  Google Scholar 

  17. Dou, G. R., Turbulence (II) (in Chinese), Beijing: Higher Education Press, 1987.

    Google Scholar 

  18. Kulick, J. D., Fessler, J. R., Eaton, J. K., Particle response and turbulence modification in fully developed channel flow, J. Fluid Mech., 1994, 277: 109.

    Article  Google Scholar 

  19. Alajbegovic, A., Assad, A., Lahey, R. T. Jr., Phase distribution and turbulence structure for solid/fluid upflow in a pipe, Int. J. Multiphase Flow, 1994, 20(3): 453.

    Article  MATH  Google Scholar 

  20. Lee, S. L., Durst, F., On the motion of particles in turbulent duct flows, Int. J. Multiphase Flow, 1982, 8: 125.

    Article  Google Scholar 

  21. Van de Wall, R. E., Soo, S. L., Measurement of transport properties of a gas-solid suspension using phase Doppler anemometry, Powder Technology, 1997, 94: 141.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Hydraulic Engineering, Tsinghua University, 100084, Beijing, China

    Xudong Fu, Guangqian Wang & Zengnan Dong

Authors
  1. Xudong Fu
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guangqian Wang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zengnan Dong
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fu, X., Wang, G. & Dong, Z. Theoretical analysis and numerical computation of dilute solid/liquid two-phase pipe flow. Sci. China Ser. E-Technol. Sci. 44, 298–308 (2001). https://doi.org/10.1007/BF02916707

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02916707

Keywords

Search

Navigation