• Volume/Page
  • Keyword
  • DOI
  • Citation
  • Advanced
   
 
 
 

J. Rheol. 43, 1099 (1999); http://dx.doi.org/10.1122/1.551043 (18 pages)

Pressure and temperature effects in slit rheometry

Grant Hay and M. E. Mackay

Materials Characterisation and Processing Centre, Department of Chemical Engineering and The Cooperative Research Centre for International Food Manufacture and Packaging Science, The University of Queensland, Queensland 4072, Australia

K. M. Awati and Y. Park

Materials Characterisation and Processing Centre,

Department of Chemical Engineering, The University of Queensland, Queensland 4072, Australia

Full Text: Download PDF FREE | View Cart
We present an approximate theoretical treatment of pressure and viscous heating effects on the flow of a power law fluid through a slit die. It is assumed that the flow remains one dimensional, and the accuracy of this approximation is checked via finite element simulations of the complete momentum and energy equations. For pressures typically achieved in the laboratory it is seen that the one dimensional approximation compares well with the simulations. The model therefore offers a method of including pressure and viscous heating effects in the analysis of experiments and is used to rationalize experimentally obtained pressure profiles for the flow of polymer melts through a slit die. Data for the flow of a linear low density polyethylene and a polystyrene melt in a slit die show these two effects are significant under normal laboratory conditions. Thus, the shear stress–shear rate curves will be affected to the point of being inaccurate at high shear rates. In addition, it is found that the typical technique to correct for a pressure dependent viscosity is also inaccurate being affected by the viscous heating and heat transfer from the melt to the die. © 1999 Society of Rheology.

© 1999 Society of Rheology

KEYWORDS and PACS

PACS

  • 47.60.-i

    Flow phenomena in quasi-one-dimensional systems

  • 83.80.Rs

    Polymer solutions

  • 83.80.Sg

    Polymer melts

  • 47.80.-v

    Instrumentation and measurement methods in fluid dynamics

  • 66.20.-d

    Viscosity of liquids; diffusive momentum transport

  • 47.50.-d

    Non-Newtonian fluid flows

  • 02.70.Dh

    Finite-element and Galerkin methods

PUBLICATION DATA

ISSN

0148-6055 (print)  

ARTICLE DATA

History
Received 18 May 98
Revised 02 Jun 99

  1. Awati, K. M., Y. Park, E. Weisser, and M. E. Mackay, "Wall slip and shear stresses of polymer melts at high shear rates without pressure and viscous heating effects," J. Non-Newtonian Fluid Mech. (in press, 1999).
  2. Choi, S. Y., "Determination of melt viscosity as a function of hydrostatic pressure in an extrusion rheometer," J. Polym. Sci. Part A-2 6, 2043–2049 (1968).
  3. Cogswell, F. N. and J. C. McGowan, "The effects of pressure and temperature upon the viscosities of liquids with special reference to polymeric liquids," Br. Polym J. 4, 183–198 (1972). [Inspec]
  4. Denn, M. M., "Pressure drop-flow rate equation for adiabatic capillary flow with a pressure-and temperature-dependant viscosity," Polym. Eng. Sci. 21, 65–68 (1981). [Inspec] [ISI]
  5. Georgiou, G. C. and M. J. Crochét, "Compressible viscous flow in slits with slip at the wall," J. Rheol. 38, 639–654 (1994)JORHD2000038000003000639000001.
  6. Halley, P. J. and M. E. Mackay, "The effect of metals on the processing of LLDPE through a slit die," J. Rheol. 38, 41–51 (1994)JORHD2000038000001000041000001. [ISI]
  7. Hatzikiriakos, S. G. and J. M. Dealy, "Wall slip of molten high density polyethylenes. II. Capillary rheometer studies," J. Rheol. 36, 703–741 (1992)JORHD2000036000004000703000001.
  8. Henson, D. J. and M. E. Mackay, "The effect of gap on the viscosity of monodisperse polystyrene melts: Slip effects," J. Rheol. 39, 359–373 (1995)JORHD2000039000002000359000001. [ISI]
  9. Kadijk, S. E. and B. H. A. A. Van Den Brule, "On the pressure dependency of the viscosity of molten polymers," Polym. Eng. Sci. 34, 1535–1546 (1994). [ISI]
  10. Laun, H. M., "Polymer melt rheology with a slit die," Rheol. Acta 22, 171–185 (1983). [Inspec] [ISI]
  11. Penwell, R. C., R. S. Porter, and S. Middleman, "Determination of the pressure coefficient and pressure effects in capillary flow," J. Polym. Sci. Part A-2 9, 731–745 (1971).
  12. Ramamurthy, A. V., "Wall slip in viscous fluids and influence of materials of construction," J. Rheol. 30, 337–357 (1986)JORHD2000030000002000337000001.
  13. Rosenbaum, E. E. and S. G. Hatzikiriakos, "Wall slip in the capillary flow of molten polymers subject to viscous heating," AIChE. J. 43, 598–608 (1997). [ISI]
  14. Semjonow, V. V., "Uber ein rotationsvikosimeter zur messung der druckabhangigkeit der viskositat hochpolymerer schmelzen," Rheol. Acta 2, 138–143 (1962).
  15. Shidara, H. and M. M. Denn, "Polymer melt flow in very thin slits," J. Non-Newtonian Fluid Mech. 48, 101–110 (1993). [Inspec] [ISI]
  16. Tuna, N. Y. and B. A. Finlayson, "Exit pressure experiments for low density polyethylene melts," J. Rheol. 32, 285–308 (1988)JORHD2000032000003000285000001.
  17. Van Dam, J. and H. Janeschitz-Kriegl, "Temperature measurement and heat transfer in flowing polymer melts," Int. J. Heat Mass Transf. 28, 395–406 (1985). [Inspec] [ISI]
  18. Weber, G. and L. Christmann, "Beschreibung des zusammenhanges von schubspannung und schergeschwindigkeit, gemessen an polyathylenen hoher dichte," Rheol. Acta 17, 16–27 (1978). [Inspec] [ISI]
  19. Westover, R. F., "Effect of hydrostatic pressure on polyethylene melt rheology," SPE Trans. 1, 14–20 (1961). [ISI]
  20. Ybarra, Y. M. and R. E. Eckert, "Viscous heat generation in slit flow," AIChE. J. 26, 751–762 (1980). [Inspec] [ISI]



Close
   

close