Approximate solutions for the couette viscometry equation

Bulletin of the Australian Mathematical Society

Volumn 72, Issue 3, 2005, Pages 461-470

  De Hoog, F R ^a   Anderssen, R S ^a  

^a CSIRO   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 32544453836     PISSN: 00049727     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0004972700035280     Document Type: Article

References (18)

1. M. Abramowitz and I.A. Stegun, Handbook of mathematical functions (Dover Publications, New York, 1965).
2. C. Ancey, 'Solving the Couette inverse problem by using a wavelet-vaguelette decomposition', J. Rheol. 49 (2005), 441-460.
3. J.C. Baudez and P. Coussot, 'Abrupt transition from viscoelastic solidlike to liquidlike behaviour in jammed materials', Phys. Review Let. 93 (2004), #128302(4).
4. R.K. Code and J.D. Raal, 'Rates of shear in coaxial cylinder viscometers', Rheol. Acta 12 (1973), 578-587.
5. M. Couette, 'Études sur le frottement des liquides', Ann. Chim. Phys. 21 (1890), 433-510.
6. F.R. de Hoog and R.S. Anderssen, 'Regularization of first kind integral equations with application to Couette viscometry', J. Integral Eqations Appl. (to appear).
7. D. Donoho, 'Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition', Appl. Comput. Harmon. Anal. 2 (1995), 101-1126.
8. D. Elliott, 'The Euler-Maclaurin formula revisited', J. Austral. Math. Soc. Ser. B 40 (1998), E27-E76.
9. F.D. Farrow, G.M. Lowe and S.M. Neale, 'The flow of starch pastes flow at high and low rates of shear', J. Textile Inst. 19 (1928), T18-T31.
10. J. Hart, Nonparametric smoothing and lack-of-fit tests (Springer, New York, 1999).
11. I.M. Krieger, 'Shear rate in the Couette viscometer', Trans. Soc. Rheol. 12 (1968), 5-11.
12. I.M. Krieger 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 (1953), 134-136.
13. I.M. Krieger and S.H. Maron, 'Direct determination of the flow curves of non-Newtonian fluids,', J. Appl. Phys. 23 (1952), 147-149.
14. Y.K. Leong and Y.L. Yeow, 'Obtaining the shear stress shear rate relationship and yield stress of liquid foods from Couette viscometry data', Rheol. Acta 42 (2003), 365-371.
15. M. Mooney, 'Explicit formulas for slip and fluidity', J. Rheol. 2 (1931), 210-222.
16. J. Pawlowski, 'Bestimmung des Reibungsgesetzes der nicht-Newtonschen Flüssigkeiten aus den Viskositätsmessungen mit Hilfe eines Rotationsviskosimeters', Kolloid Zeit. 10 (1953), 129-131.
17. J.M. Piau, M. Bremond, J.M. Couette and M. Piau, 'Maurice Couette, one of the founders of rheology', Rheol. Acta 33 (1994), 357-368.
18. C. Picart, J.M. Piau, H. Galliard and P. Carpenter, 'Human blood yield stress and its hematorit dependence', J. Rheol. 42 (1998), 1-12.