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Progress and Trends in Rheology II pp 18–24Cite as

Phenomenological rheology of thixotropic liquids: a contribution to the needs of engineering science

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Abstract

The paper presents results obtained in developing procedures for the design of technological equipment in which the flow of thixotropic fluids takes place. Some general guidelines for the selection and identification of rheological models suitable for engineering purposes are given. A rheological model of thixotropy is presented, featuring yield stress and consistency consisting of a constant and a time-dependent part. The model is used for calculating the friction factor in steady-state pipe flow and for the description of the nonsteadystate clearing of gelled crude oil pipelines. In comparing the results of the present theoretical approach with experimental data obtained on a full scale pipeline, good agreement has been found.

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Abbreviations

a:

parameter of the rheological model, eq. (1) [s−1]

b:

parameter of the rheological model, eq. (1) [sm − 1]

D = 2R:

pipe inner diameter [m]

De:

Deborah number, eq. (10) [−]

F:

dimensionless criterion, eq. (3) [−]

k:

consistency [Pa sn]

∆k:

parameter of the rheological model, eq. (1) [Pa sn]

L:

pipe length [m]

m:

parameter of the rheological model, eq. (1) [−]

n:

flow index [−]

N:

rotational speed [s−1]

∆p:

pressure difference, pump pressure [Pa]

∆p1, ∆p2 :

pressure differences in the incoming oil and outgoing gel [Pa]

R1, R2 :

bob and cup radii [m]

Re:

generalized Reynolds number, eq. (7) [−]

S = R1/R2 :

ratio of bob and cup radii [−]

SN:

structural number, eq. (8) [−]

t:

time [s]

ū:

volumetric mean velocity [m]

\(\dot V \) :

flow rate [m3 s−1]

z:

axial coordinate [m]

\(\dot \gamma\) :

shear rate [s−1]

\({\dot Y_w} \) :

shear rate at the wall [s−1]

\({\dot Y_b} \) :

Shear rate at the bob surface [s−1]

λ:

Structural parameter [−]

λe :

equilibrium value of λ, eq. (9) [−]

λf :

friction factor, eq. (6) [−]

τ:

shear stress [Pa]

τw :

shear stress at the wall [Pa]

τy0, τy1 :

yield stress [Pa]

Ω:

angular speed [rad s−1]

References

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Author information

Authors and Affiliations

  1. Faculty of Mechanical Engineering, ČVUT, Prague, Czechoslovakia

    Doc. Ing. J. Šesták CSc

  2. Strojni Fakulta CVUT, Suchbátarova 4, 166 07, Praha 6, Czechoslovakia

    Doc. Ing. J. Šesták CSc

Authors
  1. Doc. Ing. J. Šesták CSc
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Editor information

Editors and Affiliations

  1. Dortmund, Germany

    Hanswalter Giesekus (Executive Editor) & Mark Francis Hibberd Ph. D. (Co-Editor) (Executive Editor) &  (Co-Editor)

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© 1988 Springer-Verlag Berlin Heidelberg

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Šesták, J. (1988). Phenomenological rheology of thixotropic liquids: a contribution to the needs of engineering science. In: Giesekus, H., Hibberd, M.F. (eds) Progress and Trends in Rheology II. Steinkopff, Heidelberg. https://doi.org/10.1007/978-3-642-49337-9_5

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  • DOI: https://doi.org/10.1007/978-3-642-49337-9_5

  • Publisher Name: Steinkopff, Heidelberg

  • Print ISBN: 978-3-642-49339-3

  • Online ISBN: 978-3-642-49337-9

  • eBook Packages: Springer Book Archive

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