Skip to main content
SpringerLink
Log in

Mathematical model of the entry length in the flow of suspensions of solid particles in a gas

  • Original Contributions
  • Published:
Rheologica Acta Aims and scope Submit manuscript

Abstract

A mathematical model consisting of equations of mass and momentum and for the velocity field has been used for computing the entry length of the flow of non-Newtonian fluids in laminar, transition and turbulent regions. Experimental data measured in a vertical flow of a suspension of solid particles in air have been used for verifying the predictions.

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

Abbreviations

n :

flow index for laminar flow

Re :

Reynolds number defined for the flow of the carrier medium

q :

exponent for turbulent flow

\(\bar R_\delta \) :

ratio of core radius with a flat velocity profile to pipe radius

ū c :

ratio of the axial component of local velocity in the core to mean velocity

w :

mean flow velocity

\(\bar X\) :

ratio of axial distance from the pipe entrance to the pipe radius

\(\bar x_L \) :

ratio of the entrance length to the pipe radius

\(\dot X\) :

relative mass fraction of particles

\(\bar y\) :

ratio of the distance from the pipe wall to the pipe radius

λ :

coefficient of pressure loss due to friction

References

  1. Bogue DC (1959) Ind Eng Chem 51:874

    Google Scholar 

  2. Brenner H (1970) Ann Rev Fluid Mech 2:137

    Google Scholar 

  3. Brenner H (1972) Progress Heat Mass Transfer 5:89

    Google Scholar 

  4. Cox RG, Brenner H (1971) Chem Eng Sci 26:65

    Google Scholar 

  5. Drew DA (1971) Studies Appl Math 50(2):133

    Google Scholar 

  6. Shintre SN, Mashelkar RA, Ulbrecht J (1977) Rheol Acta 16:490

    Google Scholar 

  7. Bird RB, Stewart WE, Lightfoot EN (1968) Přenosové jevy. Praha, Academia

    Google Scholar 

  8. Harris J (1967) Chem Eng Nov. CE 243

  9. Brodkey RS, Lee J, Chase RC (1961) AICHE J 7:392

    Google Scholar 

  10. Pai SI (1957) Viscous Flow Theory. New York, Van Nostrand

    Google Scholar 

  11. Skelland AHP (1967) Non-Newtonian Flow and Heat Transfer. New York, John Wiley

    Google Scholar 

  12. Lodes A, Mierka O, Varga M (1980) CSSR patent 220881

  13. Mierka O (1980) Thesis Bratislava CHTF SVST

  14. Metzner AB, Reed JC (1955) AIChE J 1:434

    Google Scholar 

  15. Lodes A, Mierka O, Mičák J (1982) Sci Report. Bratislava, CHTF SVST

Download references

Author information

Authors and Affiliations

  1. Department of Chemical Engineering Faculty of Chemical Technology, Slovak Technical University, Jánska 1, ČSSR-812 37, Bratislava, ČSSR

    A. Lodes, O. Mierka & J. Mičák

Authors
  1. A. Lodes
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. O. Mierka
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. Mičák
    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

Lodes, A., Mierka, O. & Mičák, J. Mathematical model of the entry length in the flow of suspensions of solid particles in a gas. Rheol Acta 24, 488–492 (1985). https://doi.org/10.1007/BF01462495

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01462495

Key words

Search

Navigation