Abstract
A two-stage Tikhonov regularisation procedure has been used to obtain rheological properties for a high internal phase emulsion from gap-dependent steady-state parallel plate shear data. This method is beneficial in that it can convert the steady shear data into rheological property functions. The built-in regularisation parameters of the method are able to keep noise amplification under control. The two-stage method is able to obtain not only the shear stress–shear rate function but also the apparent slip velocity as a function of wall shear stress. The method is such that it obtains the rheological functions over the maximum range of shear rate covered by the data. The results obtained using the new method are compared to those obtained using the vane geometry with good agreement being observed.
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References
Barnes HA (1995) A review of the slip (wall depletion) of polymer solutions, emulsions and particle suspensions in viscometers: its cause, character, and cure. JNNFM 56:221–251
Engl HW, Hanke M, Neubauer A (2000) Regularization of inverse problems. Kluwer, Dordrecht, The Netherlands
Hartman Kok PJA, Kazarian SG, Lawrence CJ, Briscoe BJ (2002) Near-wall particle depletion in a flowing colloidal suspension. J Rheol 46:481–493
Leong YK, Campbell GR, Yeow YL, Withers JW (2008) Processing parallel disk viscometry data in the prescence of wall slip. Korea-Australia Rheol J 20:51–58
Lubansky AS, Yeow YL, Leong YK, Wickramasinghe SR, Han B (2006) A general method of computing the derivative of experimental data. AICHE J 52:323–332
Macosko CW (1994) Rheology—principles, measurements and applications. VCH, New York
Nguyen QD, Boger DV (1987) Characterization of yield stress fluids with concentric cylinder viscometers. Rheol Acta 26:508–515
Wahba G (1990) Spline models for observational data. SIAM, Philadelphia, PA
Yang TMT, Krieger IM (1978) Comparison of methods for calculating shear rates in coaxial viscometers. J Rheol 22:413–421
Yeow YL, Leong YK, Khan A (2006) Non-Newtonian flow in parallel-disk viscometers in the presence of wall slip. JNNFM 139:85–92
Yeow YL, Leong YK, Khan A (2008a) Error introduced by a popular method of processing parallel-disk viscometery data. Appl Rheol 17:664151–664156
Yeow YL, Leong YK, Khan A (2008b) Slow steady viscous flow of Newtonian fluids in parallel-disk viscometer with wall slip. J Appl Mech 75:041001–7
Yeow YL, Chandra D, Sardjono AA, Wijaya H, Leong YK, Khan A (2005) A general method for obtaining shear stress and normal stress functions from parallel disk rheometry. Rheol Acta 44:270–277
Yoshimura AS, Prud’homme R (1988) Wall slip corrections for couette and parallel disk viscometers. J Rheol 32:53–67
Acknowledgements
SZ thanks Professor Franz Grieser, from the School of Chemistry, The University of Melbourne, for his support in this work and is also grateful for the financial support provided by Orica Pty Ltd, the Australian Research Council (ARC) and the Particulate Fluids Processing Centre (PFPC). The authors also wish to thank the reviewers for their thoughtful and helpful comments.
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Zahirovic, S., Lubansky, A.S., Leong Yeow, Y. et al. Obtaining the steady shear rheological properties and apparent wall slip velocity data of a water-in-oil emulsion from gap-dependent parallel plate viscometry data. Rheol Acta 48, 221–229 (2009). https://doi.org/10.1007/s00397-008-0343-7
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DOI: https://doi.org/10.1007/s00397-008-0343-7