A critical assessment of the Jastrzebski interface condition for the capillary flow of pastes, foams and polymers

This paper presents a review of unusual apparent slip effects in capillary flow rheometry. Many cases of paste, foam and polymer capillary flow have been reported where the classic analysis of Mooney has yielded unviable flow curves and apparent slip velocities; often the analysis of Jastrzebski has been used as an alternative and sometimes as the analysis of first choice. It is shown that the recently developed Tikhonov regularization method of Mooney analysis can be used to yield viable results for some of the cases where the classic Mooney analysis could not. All of the problematic foam and polymer results found in the literature were resolved, as well as some of the problematic paste results. It is shown that the use of the Jastrzebski interface condition, relating apparent slip to capillary radius, yields incorrect flow curves and apparent slip velocities. It is proposed that further research is required to understand the capillary flow of paste which does not conform to the classic Mooney analysis. In the absence of any physical grounding for the Jastrzebski interface condition, it is recommended that it should no longer be used.

[1]  Mingyao Zhang,et al.  Study on the resistance properties of pumping coal-water paste in pipes , 2000 .

[2]  H. Burlet,et al.  Rheological behaviour of a polymer-ceramic blend used for injection moulding , 1996, Journal of Materials Science.

[3]  Peter P. Valko,et al.  Pipe viscometry of foams , 1995 .

[4]  S. Kazarian,et al.  Near-wall particle depletion in a flowing colloidal suspension , 2002 .

[5]  G. B. Froishteter,et al.  The flow of plastic disperse systems in the presence of the wall effect , 1975 .

[6]  C. Cohen,et al.  Glass fiber‐filled thermoplastics. I. Wall and processing effects on rheological properties , 1985 .

[7]  James Freeman Steffe,et al.  Rheological Methods in Food Process Engineering , 1992 .

[8]  G. W. Blair,et al.  On the Flow of Suspensions Through Narrow Tubes , 1940 .

[9]  D. Kalyon,et al.  Dilatancy of concentrated suspensions with Newtonian matrices , 1991 .

[10]  W. Kozicki,et al.  Anomalous effects in laminar capillary flow of polymer solutions , 1970 .

[11]  P. J. Halliday,et al.  Compaction and flow of potato starch and potato granules Compactación y flujo de almidón de patata y gránulos de patata , 1997 .

[12]  L. Chevalier,et al.  Extrusion of TiO2 ceramic powder paste , 1997 .

[13]  Dilhan M. Kalyon,et al.  Rheological behavior of a concentrated suspension: A solid rocket fuel simulant , 1993 .

[14]  M. Adams,et al.  A CRITICAL EXAMINATION OF CAPILLARY RHEOMETRY FOR FOODS (EXHIBITING WALL SLIP) , 1999 .

[15]  Benjamin Herzhaft,et al.  Correlation between transient shear experiments and structure evolution of aqueous foams. , 2002, Journal of colloid and interface science.

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

[17]  Z. D. Jastrzebski.  Entrance Effects and Wall Effects in an Extrusion Rheometer during Flow of Concentrated Suspensions , 1967 .

[18]  Y. Leong Yeow,et al.  Processing the capillary viscometry data of fluids with yield stress , 2000 .

[19]  Bogdan Z. Dlugogorski,et al.  Rheology of fire-fighting foams , 1998 .

[20]  J. Newton,et al.  The application of capillary rheometry to the extrusion of wet powder masses , 1987 .

[21]  M. Klüppel,et al.  Interaction of rubber and softener and the effect on rheological data , 1992 .

[22]  David Ian Wilson,et al.  Rheological study of a talc-based paste for extrusion-granulation , 2004 .

[23]  Joachim Götz,et al.  Extrusion of pastes with a piston extruder for the determination of the local solid and fluid concentration, the local porosity and saturation and displacement profiles by means of NMR imaging , 2002 .

[24]  P. Luckham,et al.  Evaluation of slip in capillary extrusion of ceramic pastes , 2001 .

[25]  D. Cheng.  Further observations on the rheological behaviour of dense suspensions , 1984 .

[26]  J. Kokini,et al.  Viscoelastic properties of semisolid foods and their biopolymeric components , 1987 .

[27]  E. B. Bagley.  End Corrections in the Capillary Flow of Polyethylene , 1957 .

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

[29]  A. Acrivos,et al.  The shear-induced migration of particles in concentrated suspensions , 1987, Journal of Fluid Mechanics.

[30]  Y. Leong Yeow,et al.  A new method of processing capillary viscometry data in the presence of wall slip , 2003 .

[31]  Stephen C. Danforth,et al.  Rheological Behavior of Injection‐Moldable Silicon Powder–Silicon Carbide Whisker Formulations , 1993 .

[32]  Narpinder Singh,et al.  Rheological behaviour of different cereals using capillary rheometry , 1999 .

[33]  Randall M. German,et al.  Powder injection molding , 1990 .

[34]  Mingyao Zhang,et al.  Resistance properties of coal-water paste flowing in pipes , 2002 .

[35]  A. B. Metzner,et al.  Adsorption effects in the flow of polymer solutions through capillaries , 1982 .

[36]  J. Agassant,et al.  Determination of the wall slip velocity in the flow of a SBR compound , 1992 .

[37]  THE IMPORTANCE OF SOLVENT COMPOSITION AND ADSORPTION EFFECTS ON THE FLOW PROPERTIES OF POLYBUTADIENE SOLUTIONS , 1987 .

[38]  Dilhan M. Kalyon,et al.  Slip Effects in Capillary and Parallel Disk Torsional Flows of Highly Filled Suspensions , 1989 .

[39]  H. Burlet,et al.  Rheological behaviour of a polymer ceramic blend , 1997 .

[40]  D. Wilson,et al.  Interpretation of Paste Extrusion Data , 1998 .

[41]  H. Burlet,et al.  Powder injection molding : an original simulation of paste flow , 1996 .