Skip to main content
SpringerLink
Log in

Estimation of the parameters of Herschel-Bulkley fluid under wall slip using a combination of capillary and squeeze flow viscometers

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

Abstract

The determination of the parameters of viscoplastic fluids subject to wall slip is a special challenge and accurate results are generally obtained only when a number of viscometers are utilized concomitantly. Here the characterization of the parameters of the Herschel-Bulkley fluid and its non-linear wall slip behavior is formulated as an inverse problem which utilizes the data emanating from capillary and squeeze flow rheometers. A finite element method of the squeeze flow problem is employed in conjunction with the analytical solution of the capillary data collected following Mooney’s procedure, which uses dies with differing surface to volume ratios. The uniqueness of the solution is recognized as a major problem which limits the accuracy of the solution, suggesting that the search methodology should be carefully selected.

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

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

Similar content being viewed by others

References

  • Adams MJ, Edmondson B, Caughey DG, Yahya R (1994) An experimental and theoretical study of squeeze-film deformation and flow of elastoplastical fluids. J Non-Newtonian Fluid Mech 51:61–78

  • Ahmed A, Alexandrou AN (1994) Processing of semi-solid materials using a shearthickening Bingham fluid model. FED vol 179, Numerical methods for non-Newtonian fluid dynamics. ASME

  • Aral B, Kalyon DM (1994) Effects of temperature and surface roughness on time-dependent development of wall slip in steady torsional flow of concentrated suspensions. J Rheol 38:957–972

    Article  CAS  Google Scholar 

  • Aral B, Kalyon DM (1997) Viscoelastic material functions of noncolloidal suspensions with spherical particles. J Rheol 41:599–620

    Article  CAS  Google Scholar 

  • Bird BR, Dai GC, Yarusso BJ (1983) The rheology and flow of viscoplastic materials, Rev Chem Eng 1:1–71

  • Chen Y, Kalyon DM, Bayramli E (1993) Effects of surface roughness and the chemical structure of materials of construction on wall slip behavior of linear low density polyethylene in capillary flow. J Appl Polym Sci 50:1169–1177

    Google Scholar 

  • Covey GH, Stanmore BR (1981) Use of the parallel-plate plastometer for the characterisation of viscous fluids with a yield stress. J Non-Newtonian Fluid Mech 8:249–260

  • Garcia F, Le Bolay N, Frances C (2002) Changes of surfaces and volume properties of calcite during a batch wet grinding process. Chem Eng J 85:177–187

    Article  CAS  Google Scholar 

  • Herschel WH, Bulkley R (1926) Measurement of consistency as applied to rubber-benzene solutions. Am Soc Test Proc 26:621–633

    Google Scholar 

  • Kalyon DM, Yaras P, Aral B, Yilmazer U (1993) Rheological behavior of a concentrated suspension: a solid rocket fuel simulant. J Rheol 37:35–53

    Article  CAS  Google Scholar 

  • Kalyon DM, Lawal A, Yazici A, Yaras P, Railkar S (1999) Mathematical modeling and experimental studies of twin screw extrusion of filled polymers. Polym Eng Sci 39:1139–1151

    CAS  Google Scholar 

  • Laun HM, Rady M, Hassager O (1999) Analytical solutions for squeeze flow with partial wall slip. J. Non-Newtonian Fluid Mech 81:1–15

  • Lawal A, Kalyon DM (1994a) Single screw extrusion of viscoplastic fluids subject to different slip coefficients at screw and barrel surfaces. Polym Eng Sci 34:1471–1479

    CAS  Google Scholar 

  • Lawal A, Kalyon DM (1994b) Nonisothermal model of single screw extrusion of generalized Newtonian fluids. Numer Heat Transfer A 26:103–121

    Google Scholar 

  • Lawal A, Kalyon DM (1997) Viscous heating in nonisothermal die flows of viscoplastic fluids with wall slip, Chem Eng Sci 52:1323–1337

  • Lawal A, Kalyon DM (1998) Squeeze flow of viscoplastic fluids subject to wall slip. Polym Eng Sci 38:1793–1804

    CAS  Google Scholar 

  • Lawal A, Kalyon DM (2000) Compressive squeeze flow of generalized Newtonian fluids with apparent wall slip. Intern. Polym Process XV:63–71

    Google Scholar 

  • Lawal A, Kalyon DM, Yilmazer U, (1993) Extrusion and lubrication flows of viscoplastic fluids with wall slip. Chem Eng Comm 122:127–151

    CAS  Google Scholar 

  • Mannheimer RJ (1983) Effect of slip on flow properties of cement slurries can flaw resistance calculations. Oil Gas J 81:144–147

    Google Scholar 

  • Meeten GH (2000) Yield stress of structured fluids measured by squeeze flow. Rheol Acta 40:279–288

    Article  Google Scholar 

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

  • Navier CL, Sur MH (1827) Les lois du mouvement des fluides. Mem Acad R Sci Inst Fr 6:389–440

    Google Scholar 

  • Papanastasiou TC (1987) Flows of materials with yield. J Rheol 31:385–404

    Article  CAS  Google Scholar 

  • Press H, Teukolsky SA, Vetterling WT, Flannery BP (1992) Numerical recipes in Fortran. Cambridge University Press

  • Scott JR (1931) Theory and application of the parallel-plate plastometer. Trans Inst Rubber Ind 7:169–175

    CAS  Google Scholar 

  • Scott JR (1935) Theory and application of the parallel-plate plastometer, part 2. Trans Inst Rubber Ind 10:418–493

    Google Scholar 

  • Sherwood JD, Durban D (1998) Squeeze-flow of a Herschel-Bulkley fluid. J Non-Newtonian Fluid Mech 77:115–121

  • Yaras P (1995) Rheological behavior and twin screw extrusion of flow of non-colloidal concentrated suspensions. PhD Thesis, Stevens Institute of Technology

  • Yilmazer U, Kalyon DM (1989) Slip effects in capillary and parallel disk torsional flows of highly filled suspensions. J Rheol 33:1197–1212

    Article  CAS  Google Scholar 

  • Yilmazer U, Kalyon DM (1991) Dilatancy of concentrated suspensions with Newtonian matrices. Polym Compos 12:226–232

    CAS  Google Scholar 

  • Yilmazer U, Gogos CG, Kalyon DM (1989) Mat formation and unstable flows of highly filled suspensions in capillaries and continuous processors. Polym Compos 4:242–248

    Google Scholar 

  • Zhang W, Silvi N, Vlachopoulos J (1995) Modeling and experiments of squeezing flow of polymer melts. Int Polym Process X:155–164

    Google Scholar 

  • Zhou F, Wang H, Yang X, Liu Y (1997) Study on rheological properties of an oil-in-water emulsion at high temperature and high pressure. Proceedings of 1997 International Symposium on Multiphase Fluid, Non-Newtonian Fluid and Physico-Chemical Fluid Flows, ISMNP 97. International Academic, pp 5.63–5.68

Download references

Acknowledgements

We thank Ms. Elvan Birinci of Highly Filled Materials Institute of Stevens for the experimental characterization of the silicone oil and its suspensions using squeeze and capillary flows.

Author information

Authors and Affiliations

  1. Stevens Institute of Technology, Hoboken, NJ, 07030, USA

    Hansong S. Tang & Dilhan M. Kalyon

Authors
  1. Hansong S. Tang
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Dilhan M. Kalyon
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Dilhan M. Kalyon.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Tang, H.S., Kalyon, D.M. Estimation of the parameters of Herschel-Bulkley fluid under wall slip using a combination of capillary and squeeze flow viscometers. Rheol Acta 43, 80–88 (2004). https://doi.org/10.1007/s00397-003-0322-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00397-003-0322-y

Keywords

Search

Navigation