Skip to main content
SpringerLink
Log in

Drag associated with transitional flow regime of a fiber suspension in a tube

  • Published:
Fluid Dynamics Aims and scope Submit manuscript

Abstract

A semlempirical model is constructed of the flow of a fiber suspension of low and medium concentration in regimes that are usually called mixed and undeveloped turbulent regimes [1–4]. It is shown that although the flow of fiber suspensions in these regimes has features similar to those of the turbulent flow of a Newtonian fluid, for example, a logarithmic velocity profile, the characteristic features of the flow in both regimes can be better explained, not by turbulence of the flow, but by orientation of the fibers in it and by plastic flow of the fiber continuum. For this reason, to distinguish the mixed and undeveloped turbulent regimes from a truly turbulent regime it is proposed here to describe them by a general name — transitional flow. The obtained expressions agree qualitatively and quantitatively with the experimental results of Lee and Duffy [2], Sanders and Meyer [3], and Mih and Parker [4].

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

Literature cited

  1. O. A. Terent'ev, Hydrodynamics of Fiber Suspensions in Cellulose-Paper Production [in Russian], Lesn. Prom-St', Moscow (1980).

    Google Scholar 

  2. P. F. W. Lee and G. G. Duffy, “An analysis of the drag reducing regime of pulp suspension flow,” Tappi,59, 119 (1976).

    Google Scholar 

  3. H. T. Sanders (Jr) and H. Meyer, “Consistency distributions in turbulent tube flow of fiber suspensions,” Tappi,54, 722 (1971).

    Google Scholar 

  4. W. Mih. and J. Parker, “Velocity profile measurements and a phenomenelogical description of turbulent fiber suspension pipe flow,” Tappi,50, 237 (1967).

    Google Scholar 

  5. J. W. Daily and G. Bugliarello, “Basic data for dilute fiber suspensions in uniform flow with shear,” Tappi,44, 497 (1961).

    Google Scholar 

  6. V. A. Babkin, “Drag associated with plug flow of a fiber suspension in a tube,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 1, 88 (1974).

    Google Scholar 

  7. V. A. Babkin, “Shear of a fiber suspension between coaxial cylinders,” Izv. Akad. Nauk SSSR, Mekh. Zhidk. Gaza, No. 2, 80 (1975).

    Google Scholar 

  8. U. Raij and D. Wahren, “An experimental investigation of paper pulp stock flow in a straight pipe, ” Sven. Papperstidn.,67, 186 (1964).

    Google Scholar 

  9. N. V. Nikolaevskii, K. S. Basniev, A. T. Gorbunov, and G. A. Zotov, Mechanics of Saturated Porous Media [in Russian], Nedra, Moscow (1970).

    Google Scholar 

  10. J. L. Ericksen, “A boundary-layer effect in viscometry of liquid crystals,” Trans. Soc. Rheol.,13, 9 (1969).

    Google Scholar 

  11. P. F. W. Lee and G. G. Duffy, “Velocity profiles in the drag reducing regime of pulp suspension flow,” Appita,30, 219 (1976).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Petrozavodsk

    V. A. Babkin

Authors
  1. V. A. Babkin
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 3, pp. 40–45, May–June, 1984.

I thank V. N. Nikolaevskii and A. N. Golubyatnikov for interest in the work and helpful comments.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Babkin, V.A. Drag associated with transitional flow regime of a fiber suspension in a tube. Fluid Dyn 19, 372–377 (1984). https://doi.org/10.1007/BF01093899

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01093899

Keywords

Search

Navigation