Skip to main content
Erschienen in: Rheologica Acta 9/2008

01.12.2008 | Original Contribution

Measurement of pressure coefficient of melt viscosity: drag flow versus capillary flow

verfasst von: Hee Eon Park, Sung Taek Lim, Hans Martin Laun, John M. Dealy

Erschienen in: Rheologica Acta | Ausgabe 9/2008

Einloggen

Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

The pressure coefficient of viscosity of poly(α-methylstyrene-co-acrylonitrile) was measured using a high-pressure sliding plate rheometer (HPSPR) and two types of capillary rheometer: a piston-driven device with a throttle at the exit [piston capillary rheometer with throttle (PCRWT)] operated at a fixed flow rate, and a counter-pressure nitrogen capillary rheometer (CPNCR) operated at a fixed pressure drop. In the HPSPR, the pressure, shear rate, density, and viscosity are all uniform throughout the sample, while the analysis of capillary data is complicated by the axial pressure gradient and the radial shear rate gradient. The polymer was found to be piezorheologically simple, and the HPSPR data indicated that the pressure coefficient of viscosity β ≡ dln(a P)/dP decreased slightly with increasing pressure at high pressure. While β from PCRWT data from different laboratories and instruments agreed fairly well, the β values were on average about 2/3 of that from the HPSPR. The CPNCR yields β about 18% lower than that of the HPSPR.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 390 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Maschinenbau + Werkstoffe




 

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Altstädt V, Freitas LDL, Schubert WD (2004) Rheological and mechanical properties of poly(α-methylstyrene-co-acrylonitrile)/poly(methylacrylate-co-methyl methacrylate) blends in miscible and phase-separated regimes of various morphologies. Part IV. Influence of the morphology on the mechanical properties. Pure Appl Chem 76:389–413CrossRef Altstädt V, Freitas LDL, Schubert WD (2004) Rheological and mechanical properties of poly(α-methylstyrene-co-acrylonitrile)/poly(methylacrylate-co-methyl methacrylate) blends in miscible and phase-separated regimes of various morphologies. Part IV. Influence of the morphology on the mechanical properties. Pure Appl Chem 76:389–413CrossRef
Zurück zum Zitat Bagley EB (1957) End corrections in the capillary flow of polyethylene. J App Phys 28:624–627CrossRef Bagley EB (1957) End corrections in the capillary flow of polyethylene. J App Phys 28:624–627CrossRef
Zurück zum Zitat Barus C (1883) Isothermals, isopiestics and isometrics relative to viscosity. Am J Sci 45:87–96 Barus C (1883) Isothermals, isopiestics and isometrics relative to viscosity. Am J Sci 45:87–96
Zurück zum Zitat Brydson JA (1999) Plastic materials, 7th edn. Butterworth Heinemann, Oxford Brydson JA (1999) Plastic materials, 7th edn. Butterworth Heinemann, Oxford
Zurück zum Zitat Cardinaels R, Van Puyvelde P, Moldenaers P (2007) Evaluation and comparison of routes to obtain pressure coefficients from high-pressure capillary rheometry data. Rheol Acta 46:495–505CrossRef Cardinaels R, Van Puyvelde P, Moldenaers P (2007) Evaluation and comparison of routes to obtain pressure coefficients from high-pressure capillary rheometry data. Rheol Acta 46:495–505CrossRef
Zurück zum Zitat Chakravorty S, Rides M, Allen CRG, Brown CS (1996) Polymer melt viscosity increases under pressure: simple new measurement method. Plast Rubber Compos Process Appl 25:260–261 Chakravorty S, Rides M, Allen CRG, Brown CS (1996) Polymer melt viscosity increases under pressure: simple new measurement method. Plast Rubber Compos Process Appl 25:260–261
Zurück zum Zitat Couch MA, Binding DM (2000) High pressure capillary rheometry of polymeric fluids. Polymer 41:6323–6334CrossRef Couch MA, Binding DM (2000) High pressure capillary rheometry of polymeric fluids. Polymer 41:6323–6334CrossRef
Zurück zum Zitat Cross MM (1968) Analysis of flow data on polymer systems under steady or oscillatory shear. In: Wetton RE, Whorlow RW (ed) Polymer systems, deformation and flow: Proc of the 1966 Ann Conf Brit Soc Rheol. Macmillan, London, pp 263–273 Cross MM (1968) Analysis of flow data on polymer systems under steady or oscillatory shear. In: Wetton RE, Whorlow RW (ed) Polymer systems, deformation and flow: Proc of the 1966 Ann Conf Brit Soc Rheol. Macmillan, London, pp 263–273
Zurück zum Zitat Dealy JM (2008) Misuse of the term pressure in rheology. Rheol Bull 77:10–13, 26–27 Dealy JM (2008) Misuse of the term pressure in rheology. Rheol Bull 77:10–13, 26–27
Zurück zum Zitat Denn MM (1981) Pressure drop-flow rate equation for adiabatic capillary flow with a pressure- and temperature dependent viscosity. Polym Eng Sci 21:65–68CrossRef Denn MM (1981) Pressure drop-flow rate equation for adiabatic capillary flow with a pressure- and temperature dependent viscosity. Polym Eng Sci 21:65–68CrossRef
Zurück zum Zitat Ferry JD (1950) Mechanical properties of substances of high molecular weight. Vi. Dispersion in concentrated polymer solutions and its dependence on temperature and concentration. J Am Chem Soc 72:3746–3752CrossRef Ferry JD (1950) Mechanical properties of substances of high molecular weight. Vi. Dispersion in concentrated polymer solutions and its dependence on temperature and concentration. J Am Chem Soc 72:3746–3752CrossRef
Zurück zum Zitat Ferry JD (1980) Viscoelastic properties of polymers, 3rd edn. Wiley, New York Ferry JD (1980) Viscoelastic properties of polymers, 3rd edn. Wiley, New York
Zurück zum Zitat Ferry JD, Stratton RA (1960) The free volume interpretation of the dependence of viscosities and viscoelastic relaxation times on concentration, pressure and tensile strength. Kolloid-Z 171:107–111CrossRef Ferry JD, Stratton RA (1960) The free volume interpretation of the dependence of viscosities and viscoelastic relaxation times on concentration, pressure and tensile strength. Kolloid-Z 171:107–111CrossRef
Zurück zum Zitat Glasstone S, Laidler KJ, Eyring H (1941) The theory of rate processes. McGraw-Hill, New York Glasstone S, Laidler KJ, Eyring H (1941) The theory of rate processes. McGraw-Hill, New York
Zurück zum Zitat Gleissle W (1994a) Influence of the measuring apparatus and method on the value of the melt index. Appl Rheol 94:13–22 Gleissle W (1994a) Influence of the measuring apparatus and method on the value of the melt index. Appl Rheol 94:13–22
Zurück zum Zitat Gleissle W (1994b) Influence of the viscoelastic functions on the melt index. Appl Rheol 94:138–147 Gleissle W (1994b) Influence of the viscoelastic functions on the melt index. Appl Rheol 94:138–147
Zurück zum Zitat Goh SH, Lee SY, Siow KS, Pua CL (1987) Miscibility of poly(styrene-co-acrylonitrile) and poly(α-methyl styrene-co-acrylonitrile) with polymethacrylates containing sterically hindered amine groups. J Appl Poly Sci 33:353–360CrossRef Goh SH, Lee SY, Siow KS, Pua CL (1987) Miscibility of poly(styrene-co-acrylonitrile) and poly(α-methyl styrene-co-acrylonitrile) with polymethacrylates containing sterically hindered amine groups. J Appl Poly Sci 33:353–360CrossRef
Zurück zum Zitat Goubert A, Vermant J, Moldenaers P, Göttfert A, Ernst B (2001) Comparison of measurement techniques for evaluating the pressure dependence of the viscosity. Appl Rheol 11:26–37 Goubert A, Vermant J, Moldenaers P, Göttfert A, Ernst B (2001) Comparison of measurement techniques for evaluating the pressure dependence of the viscosity. Appl Rheol 11:26–37
Zurück zum Zitat Günther-Schade K, Schubert DW, Faupel F (2002) Determination of the binodal and spinodal phase separation temperatures in the blend system PαMS0.5-co-AN0.5 (Luran)/PMMA0.95MA0.05 (Lucryl) with positron annihilation lifetime spectroscopy. Macromol 35:9074–9078CrossRef Günther-Schade K, Schubert DW, Faupel F (2002) Determination of the binodal and spinodal phase separation temperatures in the blend system PαMS0.5-co-AN0.5 (Luran)/PMMA0.95MA0.05 (Lucryl) with positron annihilation lifetime spectroscopy. Macromol 35:9074–9078CrossRef
Zurück zum Zitat Havermeyer F, Schubert DW (2002) Consistent analysis of cloud points and spinodal-compatibility of P(αMS-CO-AN) and P(MA-CO-MMA). Mater Res Innov 6:185–188CrossRef Havermeyer F, Schubert DW (2002) Consistent analysis of cloud points and spinodal-compatibility of P(αMS-CO-AN) and P(MA-CO-MMA). Mater Res Innov 6:185–188CrossRef
Zurück zum Zitat Hay G, Mackay ME, Awati KM, Park Y (1999) Pressure and temperature effects in slit rheometry. J Rheol 43:1099–1116CrossRef Hay G, Mackay ME, Awati KM, Park Y (1999) Pressure and temperature effects in slit rheometry. J Rheol 43:1099–1116CrossRef
Zurück zum Zitat Kadijk SE, Van Den Brule BHAA (1994) On the pressure dependency of the viscosity of molten polymers. Pol Eng Sci 34:1535–1546CrossRef Kadijk SE, Van Den Brule BHAA (1994) On the pressure dependency of the viscosity of molten polymers. Pol Eng Sci 34:1535–1546CrossRef
Zurück zum Zitat Karl V-H (1979) Pressure dependence of viscoelastic and physicochemical properties of polymers. 8. Viscosity of polyethylene up to 5000 bar. Angew Makromol Chem 79:11–19CrossRef Karl V-H (1979) Pressure dependence of viscoelastic and physicochemical properties of polymers. 8. Viscosity of polyethylene up to 5000 bar. Angew Makromol Chem 79:11–19CrossRef
Zurück zum Zitat Koran F, Dealy JM (1999) A high pressure sliding plate rheometer for polymer melts. J Rheol 43:1279–1290CrossRef Koran F, Dealy JM (1999) A high pressure sliding plate rheometer for polymer melts. J Rheol 43:1279–1290CrossRef
Zurück zum Zitat Laun HM (1986) Prediction of elastic strains of polymer melts in shear and elongation. J Rheol 30:459–501CrossRef Laun HM (1986) Prediction of elastic strains of polymer melts in shear and elongation. J Rheol 30:459–501CrossRef
Zurück zum Zitat Laun HM (1998) Rheological and mechanical properties of poly(α-methylstyrene-co-acrylonitrile)/poly(methylmethacrylate) blends in miscible and phase separated regimes of various morphologies. Part 1. Characterization of constituents, blend preparation, and overview on blend morphology. Pure Appl Chem 70:1547–1566CrossRef Laun HM (1998) Rheological and mechanical properties of poly(α-methylstyrene-co-acrylonitrile)/poly(methylmethacrylate) blends in miscible and phase separated regimes of various morphologies. Part 1. Characterization of constituents, blend preparation, and overview on blend morphology. Pure Appl Chem 70:1547–1566CrossRef
Zurück zum Zitat Laun HM (2003) Pressure dependent viscosity and dissipative heating in capillary rheometry of polymer melts. Rheol Acta 42:295–308CrossRef Laun HM (2003) Pressure dependent viscosity and dissipative heating in capillary rheometry of polymer melts. Rheol Acta 42:295–308CrossRef
Zurück zum Zitat Laun HM (2004) Capillary rheometry for polymer melts revisited. Rheol Acta 43:509–528CrossRef Laun HM (2004) Capillary rheometry for polymer melts revisited. Rheol Acta 43:509–528CrossRef
Zurück zum Zitat Laun HM, Lyngaae-Jörgensen J, Altstädt V, Schytt V (1997) Rheological and mechanical properties of PαMSAN/PMMA blends in miscible and phase separated regimes of various morphologies. Part 2. Limits of miscibility in the quiescent state and during flow. Polym Netw Blends 7:77–86 Laun HM, Lyngaae-Jörgensen J, Altstädt V, Schytt V (1997) Rheological and mechanical properties of PαMSAN/PMMA blends in miscible and phase separated regimes of various morphologies. Part 2. Limits of miscibility in the quiescent state and during flow. Polym Netw Blends 7:77–86
Zurück zum Zitat Park HE, Dealy JM (2006) Effects of pressure and supercritical fluids on the viscosity of polyethylene. Macromol 39:5438–5452CrossRef Park HE, Dealy JM (2006) Effects of pressure and supercritical fluids on the viscosity of polyethylene. Macromol 39:5438–5452CrossRef
Zurück zum Zitat Park HE, Dealy J, Münstedt H (2006) Influence of long-chain branching on the time-pressure and time-temperature shift factors for polystyrene and polyethylene. Rheol Acta 46:153–159CrossRef Park HE, Dealy J, Münstedt H (2006) Influence of long-chain branching on the time-pressure and time-temperature shift factors for polystyrene and polyethylene. Rheol Acta 46:153–159CrossRef
Zurück zum Zitat Sato Y, Yurugi M, Fujiwara K, Takishima S, Masuoka H (1996) Solubilities of carbon dioxide and nitrogen in polystyrene under high temperature and pressure. Fluid Phase Equilib 125:129–138CrossRef Sato Y, Yurugi M, Fujiwara K, Takishima S, Masuoka H (1996) Solubilities of carbon dioxide and nitrogen in polystyrene under high temperature and pressure. Fluid Phase Equilib 125:129–138CrossRef
Zurück zum Zitat Schubert DW (2001) Compatibility of poly(α-methylstyrene-co-acrylonitrile) with PMMA: a neutron and cloud point study. Mater Res Innov 4:353–359CrossRef Schubert DW (2001) Compatibility of poly(α-methylstyrene-co-acrylonitrile) with PMMA: a neutron and cloud point study. Mater Res Innov 4:353–359CrossRef
Zurück zum Zitat Tait PG (1888) Report on some of the physical properties of fresh water and sea-water. In: Report on the scientific results of the voyage of H.M.S. challenger during the years 1873–1876: Physics and Chemistry, vol. 2, part IV. H.M. Stationery Office, London, pp 1–68 Tait PG (1888) Report on some of the physical properties of fresh water and sea-water. In: Report on the scientific results of the voyage of H.M.S. challenger during the years 1873–1876: Physics and Chemistry, vol. 2, part IV. H.M. Stationery Office, London, pp 1–68
Zurück zum Zitat Vinckier I, Laun HM (1999) Manifestation of phase separation processes in oscillatory shear: droplet-matrix systems versus co-continuous morphologies. Rheol Acta 38:274–286CrossRef Vinckier I, Laun HM (1999) Manifestation of phase separation processes in oscillatory shear: droplet-matrix systems versus co-continuous morphologies. Rheol Acta 38:274–286CrossRef
Zurück zum Zitat Vinckier I, Laun HM (2000) Manifestation of spinodal decomposition in oscillatory shear measuremest. Macromol Symp 149:151–156CrossRef Vinckier I, Laun HM (2000) Manifestation of spinodal decomposition in oscillatory shear measuremest. Macromol Symp 149:151–156CrossRef
Zurück zum Zitat Vinckier I, Laun HM (2001) Assessment of the Doi–Ohta theory for co-continuous blends under oscillatory flow. J Rheol 45:1373–1385CrossRef Vinckier I, Laun HM (2001) Assessment of the Doi–Ohta theory for co-continuous blends under oscillatory flow. J Rheol 45:1373–1385CrossRef
Zurück zum Zitat Vinckier I, Schweizer T, Laun HM (2002) Interfacial tension in a LCST blend: effect of temperature, blend composition and deformation of the interphase. J Polym Sci Part B 40:679–690CrossRef Vinckier I, Schweizer T, Laun HM (2002) Interfacial tension in a LCST blend: effect of temperature, blend composition and deformation of the interphase. J Polym Sci Part B 40:679–690CrossRef
Zurück zum Zitat Wohl A (1921) Untersuchungen über die Zustandsgleichung. IV. Die kompressionsgleichung der flüssigkeiten (Zustandsgleichung stark verdichteter stoffe). Z Phys Chem 99:234–241 Wohl A (1921) Untersuchungen über die Zustandsgleichung. IV. Die kompressionsgleichung der flüssigkeiten (Zustandsgleichung stark verdichteter stoffe). Z Phys Chem 99:234–241
Zurück zum Zitat Xu J, Costeux S, Dealy JM, De Decker MN (2007) Use of a sliding plate rheometer to measure the first normal stress difference at high shear rates. Rheol Acta 46:815–824CrossRef Xu J, Costeux S, Dealy JM, De Decker MN (2007) Use of a sliding plate rheometer to measure the first normal stress difference at high shear rates. Rheol Acta 46:815–824CrossRef
Zurück zum Zitat Zhang ZI, Zhang HD, Yang YL, Vinckier I, Laun HM (2001) Rheology and morphology of phase-separating polymer blends. Macromol 34:416–1429 Zhang ZI, Zhang HD, Yang YL, Vinckier I, Laun HM (2001) Rheology and morphology of phase-separating polymer blends. Macromol 34:416–1429
Zurück zum Zitat Zoller P, Bolli P, Pahud V, Ackermann H (1976) Apparatus for measuring pressure-volume-temperature relationships of polymers to 350 degrees C and 2200 kg/cm2. Rev Sci Instrum 47:948–952CrossRef Zoller P, Bolli P, Pahud V, Ackermann H (1976) Apparatus for measuring pressure-volume-temperature relationships of polymers to 350 degrees C and 2200 kg/cm2. Rev Sci Instrum 47:948–952CrossRef
Zurück zum Zitat Zuo M, Peng M, Zhen Q (2005) Investigation on the early and late stage phase-separation dynamics of poly(methyl methacrylate)/poly(α-methyl styrene-co-acrylonitrile) blends through rheological and scattering functions. Polymer 46:11085–11092CrossRef Zuo M, Peng M, Zhen Q (2005) Investigation on the early and late stage phase-separation dynamics of poly(methyl methacrylate)/poly(α-methyl styrene-co-acrylonitrile) blends through rheological and scattering functions. Polymer 46:11085–11092CrossRef
Metadaten
Titel
Measurement of pressure coefficient of melt viscosity: drag flow versus capillary flow
verfasst von
Hee Eon Park
Sung Taek Lim
Hans Martin Laun
John M. Dealy
Publikationsdatum
01.12.2008
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 9/2008
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-008-0296-x

Weitere Artikel der Ausgabe 9/2008

Rheologica Acta 9/2008 Zur Ausgabe

    Marktübersichten

    Die im Laufe eines Jahres in der „adhäsion“ veröffentlichten Marktübersichten helfen Anwendern verschiedenster Branchen, sich einen gezielten Überblick über Lieferantenangebote zu verschaffen.