Model-free inversion of squeeze-flow rheometer data

Abstract A method for extracting rheological data from squeeze-flow tests is proposed. The analysis, based upon the lubrication approximation for a generalized Newtonian fluid, differentiates experimental data in order to obtain an estimate of the wall shear rate (as in the Weissenberg–Rabinowitsch correction for the capillary rheometer) and of the wall shear stress. Two examples are discussed. The first is based on an approximate expression for the force required to squeeze a Herschel–Bulkley fluid. The second example concerns a power-law fluid with partial slip at the plates (but non-zero wall shear stress). Second derivatives of the experimental data are required: the interpretation of noisy results is therefore likely to be difficult.

[1]  Morton M. Denn,et al.  Flow of bingham fluids in complex geometries , 1984 .

[2]  B. Rabinowitsch,et al.  Über die Viskosität und Elastizität von Solen , 1929 .

[3]  John Tsamopoulos,et al.  Squeeze flow of Bingham plastics , 2001 .

[4]  B. Edmondson,et al.  An experimental and theoretical study of the squeeze-film deformation and flow of elastoplastic fluids , 1994 .

[5]  Dilhan M. Kalyon,et al.  Squeezing Flow of Viscoplastic Fluids Subject to Wall Slip , 1998 .

[6]  G. Meeten.  Constant-force squeeze flow of soft solids , 2002 .

[7]  M. Mooney.  Explicit Formulas for Slip and Fluidity , 1931 .

[8]  M. Rady,et al.  Analytical solutions for squeeze flow with partial wall slip , 1999 .

[9]  P. Coussot,et al.  New technique for reconstructing instantaneous velocity profiles from viscometric tests: Application to pasty materials , 2004 .

[10]  B. R. Stanmore,et al.  Use of the parallel-plate plastometer for the characterisation of viscous fluids with a yield stress , 1981 .

[11]  David Durban,et al.  Squeeze flow of a power-law viscoplastic solid , 1996 .

[12]  Brian J. Briscoe,et al.  A finite element analysis of the squeeze flow of an elasto-viscoplastic paste material , 1997 .

[13]  G. Meeten,et al.  Squeeze flow of soft solids between rough surfaces , 2004 .

[14]  G. Meeten,et al.  Effects of plate roughness in squeeze-flow rheometry , 2004 .

[15]  Jose Munoz,et al.  Applications of maximum entropy method in capillary viscometry , 1996 .