Skip to main content
Log in

Steady-state particle distributions in shear flows of colloids and finely dispersed suspensions

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

On the basis of an analysis of the pseudoturbulent motion of both the suspended particles and the carrier fluid, the normal stress components in the dispersed phase are obtained for the problem of inclined confined flows of finely dispersed suspensions and colloids. These hydrodynamic pulsations are due to the shear and the work done by the average relative flow of the fluid phase on random concentration fluctuations of the disperse system because of the substantial slip of the phases of the suspension under gravity. The momentum conservation equations for the particles are obtained with allowance for the angle of inclination of the flow to the vertical and on the basis of these equations the suspension capacity of the flow as a function of the angle of inclination, particle size, Galileo number and other parameters is illustrated.

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. Yu. A. Buyevich, “Hydrodynamics of dispersions including diffusional effects,”Arch. Mech.,42, No. 4–5, 429 (1990).

    Google Scholar 

  2. Yu. A. Buyevich, “Internal pulsations in flows of finely dispersed suspensions,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 3, 91 (1993).

  3. Yu. A. Buyevich and Sh. K. Kapbasov, “Stability of finely dispersed vertical flows,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 6, 57 (1993).

    Google Scholar 

  4. R. F. Madsen,Hyperfiltration and Ultrafiltration in Plate-and-Frame Systems, Elsevier, Amsterdam (1977).

    Google Scholar 

  5. I. M. Razumov,Pseudofluidization and Pneumatic Transport of Free-Flowing Bulk Materials [in Russian], Khimiya, Leningrad (1964).

    Google Scholar 

  6. M. Martin and P. S. Williams, “Theoretical basis of field-flow fractionation”, in:Theor. Adv. in Chromatography and Related Separation Techniques, Kluwer, Dordrecht (1992), p.513.

    Google Scholar 

  7. G. K. Batchelor, “Brownian diffusion of particles with hydrodynamic interaction,”J. Fluid Mech.,74, 1 (1976).

    Google Scholar 

  8. Yu. A. Buyevich, “Statistical hydromechanics of disperse systems. Pt. 1,”J. Fluid Mech.,49, 489 (1971).

    Google Scholar 

  9. A. M. Yaglom, “Introduction to the theory of stationary random functions,”Usp. Mat. Nauk,7, No. 5, 3 (1952).

    Google Scholar 

  10. Yu. A. Buyevich and A. A. Makarov, “Particle suspension in a simple shear flow,”Izv. Ros. Akad. Nauk, Mekh. Zhidk. Gaza, No. 1, 112 (1995).

  11. N. F. Carnahan and K. E. Starling, “Equation of state for non-attracting rigid spheres,”J. Chem. Phys.,51, 635 (1969).

    Google Scholar 

Download references

Authors

Additional information

Ekaterinburg. Translated from Izvestiya Rossiiskoi Akademii Nauk, Mekhanika Zhidkosti i Gaza, No. 1, pp. 78–84, January–February, 1996.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kapbasov, S.K., Makarov, A.V. Steady-state particle distributions in shear flows of colloids and finely dispersed suspensions. Fluid Dyn 31, 66–71 (1996). https://doi.org/10.1007/BF02230748

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02230748

Keywords

Navigation