Skip to main content
SpringerLink
Log in

End effects in rotational viscometry II. Pseudoplastic fluids at elevated Reynolds number

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

Abstract

Neglecting of end effects in rotational viscometry introduces 10–30 % error in the estimate of shear stress σ R at surface of rotating cylindrical spindle. Actual values of the correction coefficient c L for a real sensor depend on pseudoplasticity level of a given sample (measured by the flow-behavior index n) and inertia level (measured by the Reynolds number Re). The correction coefficients for the real sensors with coaxial cylinders are calculated by solving the related flow problem for Generalized Newtonian Fluid with power-law viscosity function. In addition to the cylindrical sensors according to ISO 3219 CEN Bruxelles 53:019, (1994) , also some clones with different geometry simplex H = h/R are considered. The results on c L (n, Re, H) are presented as a simple empirical formula for easy use in downstream treatment of primary data using the pseudosimilarity approach.

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.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8

Similar content being viewed by others

References

  • Ancey C (2005) Solving the Couette inverse problem by using a wavelet-vaguelette decomposition. J Rheol 49:441–460

    Article  Google Scholar 

  • Bird RB, Armstrong RC, Hassager O (1977) Dynamics of polymeric liquids. Vol. 1, Fluid Mechanics. Wiley, New York

    Google Scholar 

  • Code RK, Raal JD (1973) Rates of shear in coaxial cylinder viscometers. Rheol Acta 12:578–587

    Article  Google Scholar 

  • Giesekus H, Langer G (1977) Determination of true flow curves of non-Newtonian fluids and plastic materials via the method of representative viscosity (Ger.) Rheol Acta 16:1–22

    Article  Google Scholar 

  • Gucuyener H, Kok MV, Batmaz T (2002) End effect evaluation in rheological measurement of drilling fluid using Couette coaxial cylinder viscometer. Energy Source 24:441–449

    Article  Google Scholar 

  • ISO 3219 (1994) Determination of viscosity using a rotational viscometer with defined shear rate (Plastics—polymer/resins in the liquid state or as emulsions or dispersions). CEN Bruxelles 53:019. See also DIN

    Google Scholar 

  • Kelessidis VC, Maglione R, Bandelis G (2010) On the end-effect correction for Couette type oil-field direct-indicating viscometers for Newtonian and non-Newtonian fluids. J Petrol Sci Eng 71:37–46

    Article  Google Scholar 

  • Krieger IM, Elrod H (1953) Direct determination of the flow curves of non-Newtonian fluids. II. Shearing rate in the concentric cylinder viscometer. J Appl Phys 24:134–136

    Article  Google Scholar 

  • Mitschka P, Wein O, Wichterle K (1976) Unconventional methods of rotational viscometry. Proceedings of the VIIth International Congress on Rheology, 556, Gothenburg

  • Mitschka P, Wein O, Wichterle K (1987) Rotational flows of non-Newtonian fluids.In: Transport phenomena in polymeric systems I. (Ed. Mashelkar RA) Wiley Eastern Ltd, New Delhi

    Google Scholar 

  • Mooney M (1931) Explicit formulas for slip and fluidity. J Rheol 2:210–222

    Article  Google Scholar 

  • Nguyen QD, Boger DV (1992) Measuring the flow properties of yield stress fluids. Ann Rev Fluid Mech 24:47–88

    Article  Google Scholar 

  • Penkavova V, Tihon J, Wein O (2011) Stability and rheology of dilute TiO 2-water nanofluids. Nanoscale Res Lett 6:273–280

    Article  Google Scholar 

  • Roscoe R (1962) The end correction for rotation viscometers. Brit J Appl Phys 13:362–365

    Article  Google Scholar 

  • Wein O, Wichterle K, Mitschka P, Ulbrecht J (1972) Similarity of non-Newtonian flows. IV. Pseudosimilarity and generalized transport correlations. Coll Czech Chem Commun 37:1671–1682

    Article  Google Scholar 

  • Wein O, Mitschka P, Wichterle K (1981) Rotational flows of non-Newtonian fluids (in Czech). Publishing house Academia (Studie ČSAV 5), Prague

  • Wein O, Večeř M, Tovčigrečko V (2006) AWS rotational viscometry of polysaccharide solutions using a novel KK sensor. J.Non-Newtonian Fluid Mech 139(1–2):135–152

    Article  Google Scholar 

  • Wein O, Večeř M, Havlica J (2007) End effects in rotational viscometry I. No-slip shear-thinning samples in the Z40 DIN sensor. Rheol Acta 46(5):765–772

    Article  Google Scholar 

  • Whorlow RW (1980) Rheological techniques. Chapter “Rotational viscometers: end and edge effects”, Ellis Horwood Publishers, Sussex, 136–142

  • Wichterle K, Wein O (1978) Rotation of non-convex bodies in plastic media. Collect Czech Chem Commun 43:86–94

    Article  Google Scholar 

  • Yeow YL, Ko WC, Tang PP (2000) Solving the Couette inverse problem by Tikhonov regularization. J Rheol 44:1335– 1351

    Article  Google Scholar 

Download references

Acknowledgments

This work was supported by the Grant Agency of the Czech Republic under contract No P105/12/0664.

Author information

Authors and Affiliations

  1. Institute of Chemical Process Fundamentals ASCR, Rozvojová 135, Prague, 16502, Czech Republic

    Ondřej Wein, Věra Pěnkavová & Jaromír Havlica

Authors
  1. Ondřej Wein
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Věra Pěnkavová
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jaromír Havlica
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Ondřej Wein.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Wein, O., Pěnkavová, V. & Havlica, J. End effects in rotational viscometry II. Pseudoplastic fluids at elevated Reynolds number. Rheol Acta 54, 903–914 (2015). https://doi.org/10.1007/s00397-015-0878-3

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00397-015-0878-3

Keywords

Search

Navigation