Solving the inverse problem of Couette viscometry by Tikhonov regularization

Journal of Rheology

Volumn 44, Issue 6, 2000, Pages 1335-1351

  Yeow, Y Leong ^a   Ko, Woan C ^a   Tang, Pannie P P ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; INTEGRAL EQUATIONS; INVERSE PROBLEMS; SHEAR STRESS;

COUETTE VISCOMETRY; TIKHONOV REGULARIZATION; VOLTERRA INTEGRAL EQUATION;

VISCOSITY MEASUREMENT;

EID: 0034318230     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.1308520     Document Type: Article

References (19)

1. Darby, R., "Couette viscometer data reduction for materials with a yield stress," J. Rheol. 29, 369-378 (1985).
2. de Kretser, R. G., "The theological properties and de-watering of slurried coal mine tailings," Ph.D. thesis, Department of Chemical Engineering, The University of Melbourne, 1995.
3. Groetsch, C. W., The Theory of Tikhonov Regularization for Fredholm Equations of the First Kind (Pitman, Boston, 1984).
4. Hansen, P. C., "Analysis of discrete ill-posed problems by means of the L-curve," SIAM Rev. 34, 561-580 (1992).
5. Kirsch, A., An Introduction to the Mathematical Theory of Inverse Problems (Springer, New York, 1996).
6. Krieger, I. M., "Shear rate in the Couette viscometer," J. Rheol. 12, 5-11 (1968).
7. Krieger, I. M. and H. Elrod, "Direct determination of the flow curves of non-Newtonian fluids. II. Shearing rate in the concentric cylinder viscometer," J. Appl. Phys. 24, 134-136 (1953).
8. Krieger, I. M. and S. H. Maron, "Direct determination of the flow curves of non-Newtonian fluids," J. Appl. Phys. 23, 147-149 (1952).
9. Lawson, C. L. and R. J. S. Hanson, Solving Least Squares Problems (SIAM, Philadelphia, PA, 1995).
10. Middleman, S., The Flow of High Polymers (Wiley-Interscience, New York, 1968).
11. Nguyen, Q. D. and D. V. Boger, "Direct yield stress measurement with the vane method," J. Rheol. 29, 335-347 (1985).
12. Nguyen, Q. D. and D. V. Boger, "Characterization of yield stress fluids with concentric cylinder viscometers," Rheol. Acta 26, 508-517 (1987).
13. Nguyen, Q. D. and D. V. Boger, "Measuring the flow properties of yield stress fluids," Annu. Rev. Fluid Mech. 24, 47-88 (1992).
14. Nguyen, Y. T., T. D. Vu, H. K. Wong, and Y. L. Yeow, "Solving the inverse problem of capillary viscometry by Tikhonov regularisation," J. Non-Newtonian Fluid Mech. 87, 103-106 (1999).
15. Shaw, W. T. and Tigg, J., Applied Mathematics (Addison Wesley, Reading, MA, 1994).
16. Wahba, G., Spline Models for Observational Data (SIAM, Philadelphia, PA, 1990).
17. Weese, J., "A reliable and fast method for the solution of Fredholm integral equations of the first kind based on Tikhonov regularization," Comput. Phys. Commun. 69, 99-111 (1992).
18. Yang, T. M. T. and I. M. Krieger, "Comparison of methods for calculating shear rates in coaxial viscometers," J. Rheol. 22, 413-421 (1978).
19. Yeow, Y. L., Y. T. Nguyen, T. D. Vu, and H. K. Wong, "Processing the capillary viscometry data of fluids with yield stress," Rheol. Acta 39, 392-398 (2000).