Skip to main content
Erschienen in: Rheologica Acta 3/2007

01.01.2007 | Original Contribution

Squeeze flow of Bingham fluids under slip with friction boundary condition

verfasst von: Patrice Estellé, Christophe Lanos

Erschienen in: Rheologica Acta | Ausgabe 3/2007

Einloggen

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

search-config
loading …

Abstract

This paper develops a theoretical analysis of a Bingham fluid in slipping squeeze flow. The flow field decomposition consists in combining a central extensional flow zone in the plane of symmetry and shear flow zones near the plates. It is also considered that the slipping zone is located around a central sticking zone as previously shown from experiments. It is assumed that the shear stress at the plates is constant in the slipping zone and equals a fixed friction yield value. The squeeze force required to compress a Bingham fluid under the slipping behaviour as well as the radial evolution of the transition point between both sticking and slipping zones are finally determined.

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!

Literatur
Zurück zum Zitat Adams MJ, Edmondson B, Caughey DG, Yahya R (1994) An experimental and theoretical study of the squeeze film deformation and flow of elastoplastic fluids. J Non-Newton Fluid Mech 51:61–78CrossRef Adams MJ, Edmondson B, Caughey DG, Yahya R (1994) An experimental and theoretical study of the squeeze film deformation and flow of elastoplastic fluids. J Non-Newton Fluid Mech 51:61–78CrossRef
Zurück zum Zitat Adams MJ, Aydin I, Briscoe BJ, Sinha SK (1997) A finite element analysis of the squeeze flow of an elasto-viscoplastic paste material. J Non-Newton Fluid Mech 71:41–57CrossRef Adams MJ, Aydin I, Briscoe BJ, Sinha SK (1997) A finite element analysis of the squeeze flow of an elasto-viscoplastic paste material. J Non-Newton Fluid Mech 71:41–57CrossRef
Zurück zum Zitat Adams MJ, Briscoe BJ, Corfield GM, Lawrence CJ (1998) The wall yield of rate-dependent materials. In: Adams MJ, Mashelkar RA, Pearson RA, Rennie JRA (eds) Dynamics of complex fluids. Imperial College Press, The Royal Society, London, pp 394–398 Adams MJ, Briscoe BJ, Corfield GM, Lawrence CJ (1998) The wall yield of rate-dependent materials. In: Adams MJ, Mashelkar RA, Pearson RA, Rennie JRA (eds) Dynamics of complex fluids. Imperial College Press, The Royal Society, London, pp 394–398
Zurück zum Zitat Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids Volume 1 Fluid Mechanics, 2nd edn. Wiley, New York Bird RB, Armstrong RC, Hassager O (1987) Dynamics of polymeric liquids Volume 1 Fluid Mechanics, 2nd edn. Wiley, New York
Zurück zum Zitat Covey GH (1977) Application of the parallel plate plastometer to brown coal rheometry. Ph.D. Thesis, Melbourne University Covey GH (1977) Application of the parallel plate plastometer to brown coal rheometry. Ph.D. Thesis, Melbourne University
Zurück zum Zitat Engmann J, Servais C, Burbidge AS (2005) Squeeze flow theory and applications to rheometry—a review. J Non-Newton Fluid Mech 132(1–3):1–27CrossRef Engmann J, Servais C, Burbidge AS (2005) Squeeze flow theory and applications to rheometry—a review. J Non-Newton Fluid Mech 132(1–3):1–27CrossRef
Zurück zum Zitat Estellé P, Lanos C, Perrot A, Servais C (2006) Slipping zone location in squeeze flow. Rheol Acta 45(4):444–448CrossRef Estellé P, Lanos C, Perrot A, Servais C (2006) Slipping zone location in squeeze flow. Rheol Acta 45(4):444–448CrossRef
Zurück zum Zitat Huilgol RR (1998) Variational principle and variational inequality for a yield stress fluid in the presence of slip. J Non-Newton Fluid Mech 75:231–251CrossRef Huilgol RR (1998) Variational principle and variational inequality for a yield stress fluid in the presence of slip. J Non-Newton Fluid Mech 75:231–251CrossRef
Zurück zum Zitat Karapetsas G, Tsamopoulos JA (2005) Transient squeeze flow of viscoplastic materials. J Non-Newton Fluid Mech 135(1):35–56 Karapetsas G, Tsamopoulos JA (2005) Transient squeeze flow of viscoplastic materials. J Non-Newton Fluid Mech 135(1):35–56
Zurück zum Zitat Laun HM, Rady M, Hassager M (1999) Analytical solutions for squeeze flow with partial wall slip. J Non-Newton Fluid Mech 81:1–15CrossRef Laun HM, Rady M, Hassager M (1999) Analytical solutions for squeeze flow with partial wall slip. J Non-Newton Fluid Mech 81:1–15CrossRef
Zurück zum Zitat Lawal A, Kalyon DM (1998) Squeezing flow of viscoplastic fluids subject to wall slip. Polym Eng Sci 38(11):1793–1804CrossRef Lawal A, Kalyon DM (1998) Squeezing flow of viscoplastic fluids subject to wall slip. Polym Eng Sci 38(11):1793–1804CrossRef
Zurück zum Zitat Lawal A, Kalyon DM (2000) Compressive squeeze flow of generalized Newtonian fluids with apparent wall slip. Int Polym Process 15(1):63–71 Lawal A, Kalyon DM (2000) Compressive squeeze flow of generalized Newtonian fluids with apparent wall slip. Int Polym Process 15(1):63–71
Zurück zum Zitat Meeten GH (2004) Effects of plate roughness in squeeze flow rheometry. J Non-Newton Fluid Mech 124:51–60CrossRef Meeten GH (2004) Effects of plate roughness in squeeze flow rheometry. J Non-Newton Fluid Mech 124:51–60CrossRef
Zurück zum Zitat Mitsoulis E, Matsoukas A (2005) Free surface effects in squeeze flow of Bingham plastics. J Non-Newton Fluid Mech 129(3):182–187CrossRef Mitsoulis E, Matsoukas A (2005) Free surface effects in squeeze flow of Bingham plastics. J Non-Newton Fluid Mech 129(3):182–187CrossRef
Zurück zum Zitat Roussel N, Lanos C (2003) Plastic fluid flow parameters identification using a simple squeeze test. Appl Rheol 13:132–141 Roussel N, Lanos C (2003) Plastic fluid flow parameters identification using a simple squeeze test. Appl Rheol 13:132–141
Zurück zum Zitat Roussel N, Lanos C, Toutou Y (2006) Bingham fluid flow parameters identification using a simple squeeze test. J Non-Newton Fluid Mech 135(1):1–7CrossRef Roussel N, Lanos C, Toutou Y (2006) Bingham fluid flow parameters identification using a simple squeeze test. J Non-Newton Fluid Mech 135(1):1–7CrossRef
Zurück zum Zitat Scott JR (1931) Theory and application of the parallel-plate plastimeter. Trans Inst Rubber Ind 7:169 Scott JR (1931) Theory and application of the parallel-plate plastimeter. Trans Inst Rubber Ind 7:169
Zurück zum Zitat Sherwood JD, Durban D (1996) Squeeze flow of power law viscoplastic solid. J Non-Newton Fluid Mech 62:35–54CrossRef Sherwood JD, Durban D (1996) Squeeze flow of power law viscoplastic solid. J Non-Newton Fluid Mech 62:35–54CrossRef
Zurück zum Zitat Smyrnaios DN, Tsamopoulos JA (2001) Squeeze flow of Bingham plastics. J Non-Newton Fluid Mech 100:165–190CrossRef Smyrnaios DN, Tsamopoulos JA (2001) Squeeze flow of Bingham plastics. J Non-Newton Fluid Mech 100:165–190CrossRef
Zurück zum Zitat Stefan J (1874) Versuche ber die scheinbare adhäsion. Sitz Kais Akad Wiss Wien Math Nat 69(2):713–735 Stefan J (1874) Versuche ber die scheinbare adhäsion. Sitz Kais Akad Wiss Wien Math Nat 69(2):713–735
Zurück zum Zitat Von Mises R (1928) Mechanik der plastichen fromänderung von kristallen. Z Angew Math Mech 6 Von Mises R (1928) Mechanik der plastichen fromänderung von kristallen. Z Angew Math Mech 6
Zurück zum Zitat Yang SP, Zhu KQ (2005) Note on a paper by Laun: the squeeze force for a power law fluid. J Non-Newton Fluid Mech 132:84–85CrossRef Yang SP, Zhu KQ (2005) Note on a paper by Laun: the squeeze force for a power law fluid. J Non-Newton Fluid Mech 132:84–85CrossRef
Zurück zum Zitat Yilmazer U, Kalyon DM (1989) Slip effects in capillary and parallel disk torsional flows of highly filled suspensions. J Rheol 33(8):1197–1212CrossRef Yilmazer U, Kalyon DM (1989) Slip effects in capillary and parallel disk torsional flows of highly filled suspensions. J Rheol 33(8):1197–1212CrossRef
Zurück zum Zitat Zhang W, Silvi N, Vlachopoulos J (1995) Modeling and experiments of squeezing flow of polymer melts. Int Polym Process 10(2):155–164 Zhang W, Silvi N, Vlachopoulos J (1995) Modeling and experiments of squeezing flow of polymer melts. Int Polym Process 10(2):155–164
Zurück zum Zitat Zwick KJ, Ayyaswany PS, Cohen IM (1996) Variational analysis of the squeezing flow of a yield stress fluid. J Non-Newton Fluid Mech 63:179–199CrossRef Zwick KJ, Ayyaswany PS, Cohen IM (1996) Variational analysis of the squeezing flow of a yield stress fluid. J Non-Newton Fluid Mech 63:179–199CrossRef
Metadaten
Titel
Squeeze flow of Bingham fluids under slip with friction boundary condition
verfasst von
Patrice Estellé
Christophe Lanos
Publikationsdatum
01.01.2007
Verlag
Springer-Verlag
Erschienen in
Rheologica Acta / Ausgabe 3/2007
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-006-0129-8

Weitere Artikel der Ausgabe 3/2007

Rheologica Acta 3/2007 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.