Skip to main content
Erschienen in: Rheologica Acta 8-9/2013

01.08.2013 | Original Contribution

Elastic response from pressure drop measurements through planar contraction–expansion geometries by molecular dynamics: structural effects in melts and molecular origin of excess pressure drop

verfasst von: Jorge Castillo-Tejas, Shirley Carro, Octavio Manero

Erschienen in: Rheologica Acta | Ausgabe 8-9/2013

Einloggen

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

search-config
loading …

Abstract

In this work, we use nonequilibrium molecular dynamics to simulate a contraction–expansion flow of various systems, namely melts with molecules of various conformations (linear, branched, and star), linear molecules in solution, and a reference Lennard–Jones fluid. The equations for Poiseuille flow are solved using a multiple time scale algorithm extended to nonequilibrium situations. Simulations are performed at constant temperature using the Nose–Hoover dynamics. The main objective of this analysis is to investigate the molecular origin of pressure drop along planar contraction–expansion geometry, varying the length of the contraction, and the effect that different molecular conformations have on the resulting pressure drop along the geometry. Pressure drop is closely related to mass distribution (in neutral and gradient directions) and branching index of molecules. Also, it is shown that remarkable increases of pressure drops are also possible in planar geometries, provided large extensional viscosities combined with moderate values of the first normal stress difference in shear are considered, in addition to considerable reductions of the flow area at the contraction region.

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 Aboubacar M, Matallah H, Tamaddon-Jahromi HR, Webster MF (2002) Numerical prediction of extensional flows in contraction geometries: hybrid finite volume/element method. J Non-Newton Fluid Mech 104:125–164CrossRef Aboubacar M, Matallah H, Tamaddon-Jahromi HR, Webster MF (2002) Numerical prediction of extensional flows in contraction geometries: hybrid finite volume/element method. J Non-Newton Fluid Mech 104:125–164CrossRef
Zurück zum Zitat Aguayo JP, Tamaddon-Jahromi HR, Webster MF (2008) Excess pressure-drop estimation in contraction and expansion flows for constant shear-viscosity, extension strain-hardening fluids. J Non-Newton Fluid Mech 153:157–176CrossRef Aguayo JP, Tamaddon-Jahromi HR, Webster MF (2008) Excess pressure-drop estimation in contraction and expansion flows for constant shear-viscosity, extension strain-hardening fluids. J Non-Newton Fluid Mech 153:157–176CrossRef
Zurück zum Zitat Alves MA, Oliveira PJ, Pinho FT (2003) Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions. J Non-Newton Fluid Mech 110:45–75CrossRef Alves MA, Oliveira PJ, Pinho FT (2003) Benchmark solutions for the flow of Oldroyd-B and PTT fluids in planar contractions. J Non-Newton Fluid Mech 110:45–75CrossRef
Zurück zum Zitat Binding DM (1988) An approximate analysis for contraction and converging flows. J Non-Newton Fluid Mech 27:173–189CrossRef Binding DM (1988) An approximate analysis for contraction and converging flows. J Non-Newton Fluid Mech 27:173–189CrossRef
Zurück zum Zitat Binding DM (1991) Further considerations of axisymmetric contraction flows. J Non-Newton Fluid Mech 41:27–42CrossRef Binding DM (1991) Further considerations of axisymmetric contraction flows. J Non-Newton Fluid Mech 41:27–42CrossRef
Zurück zum Zitat Binding DM, Walters K (1988) On the use of flow through a contraction in estimating the extensional viscosity of mobile polymer solutions. J Non-Newton Fluid Mech 30:233–250CrossRef Binding DM, Walters K (1988) On the use of flow through a contraction in estimating the extensional viscosity of mobile polymer solutions. J Non-Newton Fluid Mech 30:233–250CrossRef
Zurück zum Zitat Binding DM, Phillips PM, Phillips TN (2006) Contraction/expansion flows: the pressure-drop and related issues. J Non-Newton Fluid Mech 137:31–38CrossRef Binding DM, Phillips PM, Phillips TN (2006) Contraction/expansion flows: the pressure-drop and related issues. J Non-Newton Fluid Mech 137:31–38CrossRef
Zurück zum Zitat Bird R, Armstrong R, Hassager O (1987) Dynamics of polymeric liquids, volume I. Wiley, New York Bird R, Armstrong R, Hassager O (1987) Dynamics of polymeric liquids, volume I. Wiley, New York
Zurück zum Zitat Busic B, Koplik J, Banavar JR (2003) Molecular dynamics simulation of liquid bridge extensional flows. J Non-Newtonian Fluid Mech 109:51–89CrossRef Busic B, Koplik J, Banavar JR (2003) Molecular dynamics simulation of liquid bridge extensional flows. J Non-Newtonian Fluid Mech 109:51–89CrossRef
Zurück zum Zitat Campo-Deaño L, Galindo-Rosales F, Pinho FT, Alves MA, Oliveira MSN (2011) Flow of low viscosity Boger fluids through a microfluidic hyperbolic contraction. J Non-Newtonian Fluid Mech 166:1286–1296CrossRef Campo-Deaño L, Galindo-Rosales F, Pinho FT, Alves MA, Oliveira MSN (2011) Flow of low viscosity Boger fluids through a microfluidic hyperbolic contraction. J Non-Newtonian Fluid Mech 166:1286–1296CrossRef
Zurück zum Zitat Campo-Deaño L, Galindo-Rosales FJ, Pinho FT, Alves MA, Oliveira MSN (2012) Nanogel formation of polymer solutions flowing through porous media. Soft Matter 8:6445–6453CrossRef Campo-Deaño L, Galindo-Rosales FJ, Pinho FT, Alves MA, Oliveira MSN (2012) Nanogel formation of polymer solutions flowing through porous media. Soft Matter 8:6445–6453CrossRef
Zurück zum Zitat Castillo-Tejas J, Alvarado JFJ, González-Alatorre G, Luna-Barcenas G, Sanchez IC, Macias-Salinas R, Manero O (2005) Non-equilibrium molecular dynamics of the rheological and structural properties of linear and branched molecules. Simple shear and Poiseuille flows; instabilities and slip. J Chem Phys 123(5):054907CrossRef Castillo-Tejas J, Alvarado JFJ, González-Alatorre G, Luna-Barcenas G, Sanchez IC, Macias-Salinas R, Manero O (2005) Non-equilibrium molecular dynamics of the rheological and structural properties of linear and branched molecules. Simple shear and Poiseuille flows; instabilities and slip. J Chem Phys 123(5):054907CrossRef
Zurück zum Zitat Castillo-Tejas J, Rojas-Morales A, López-Medina F, Alvarado JFJ, Luna-Barcenas G, Bautista F, Manero O (2009) Flow of linear molecules through a 4:1:4 contraction-expansion using non-equilibrium molecular dynamics: extensional rheology and pressure drop. J Non-Newton Fluid Mech 161:48–59CrossRef Castillo-Tejas J, Rojas-Morales A, López-Medina F, Alvarado JFJ, Luna-Barcenas G, Bautista F, Manero O (2009) Flow of linear molecules through a 4:1:4 contraction-expansion using non-equilibrium molecular dynamics: extensional rheology and pressure drop. J Non-Newton Fluid Mech 161:48–59CrossRef
Zurück zum Zitat Daivis PJ, Evans DJ , Morriss GP (1992) Computer simulation study of the comparative rheology of branched and linear alkanes. J Chem Phys 97:616–627CrossRef Daivis PJ, Evans DJ , Morriss GP (1992) Computer simulation study of the comparative rheology of branched and linear alkanes. J Chem Phys 97:616–627CrossRef
Zurück zum Zitat Delhommelle J, Petravic J, Evans DJ (2003) Reexamination of string phase and shear thickening in simple fluids. Phys Rev E 68(031201):1–6 Delhommelle J, Petravic J, Evans DJ (2003) Reexamination of string phase and shear thickening in simple fluids. Phys Rev E 68(031201):1–6
Zurück zum Zitat Delhommelle J, Petravic J , Evans DJ (2004) Non-Newtonian behavior in simple fluids. J Chem Phys 120:6117–6123CrossRef Delhommelle J, Petravic J , Evans DJ (2004) Non-Newtonian behavior in simple fluids. J Chem Phys 120:6117–6123CrossRef
Zurück zum Zitat Doyle PS, Shaqfeh ESG, McKinley GH, Spiegelberg SH (1998) Relaxation of dilute polymer solutions following extensional flow. J Non-Newton Fluid Mech 76:79–110CrossRef Doyle PS, Shaqfeh ESG, McKinley GH, Spiegelberg SH (1998) Relaxation of dilute polymer solutions following extensional flow. J Non-Newton Fluid Mech 76:79–110CrossRef
Zurück zum Zitat Evans D, Morriss G (1990) Statistical mechanics of non-equilibrium liquids. Academic, New York Evans D, Morriss G (1990) Statistical mechanics of non-equilibrium liquids. Academic, New York
Zurück zum Zitat Flyvbjerg H, Petersen HC (1989) Error estimates on averages of correlated data. J Chem Phys 91:461–466CrossRef Flyvbjerg H, Petersen HC (1989) Error estimates on averages of correlated data. J Chem Phys 91:461–466CrossRef
Zurück zum Zitat Gabriel C, Munstedt H (2003) Strain hardening of various polyolefins in uniaxial elongational flow. J Rheol 47:619–630CrossRef Gabriel C, Munstedt H (2003) Strain hardening of various polyolefins in uniaxial elongational flow. J Rheol 47:619–630CrossRef
Zurück zum Zitat Genieser L, Brown RA, Armstrong RC (2003) Comparison of measured center-plane stress and velocity fields with predictions of viscoelastic constitutive models. J Rheol 47:1331–1350CrossRef Genieser L, Brown RA, Armstrong RC (2003) Comparison of measured center-plane stress and velocity fields with predictions of viscoelastic constitutive models. J Rheol 47:1331–1350CrossRef
Zurück zum Zitat González-González G, Castillo-Tejas J , Aguayo-Vallejo JP , Alvarado JFJ , Manero O (2009) Predictions of the excess pressure drop of Boger fluids through a 2:1:2 contraction-expansion geometry using non-equilibrium molecular dynamics. Rheol Acta 48:1017–1030CrossRef González-González G, Castillo-Tejas J , Aguayo-Vallejo JP , Alvarado JFJ , Manero O (2009) Predictions of the excess pressure drop of Boger fluids through a 2:1:2 contraction-expansion geometry using non-equilibrium molecular dynamics. Rheol Acta 48:1017–1030CrossRef
Zurück zum Zitat Gotsis AD, Zeevenhoven BLF (2004) Effect of long branches on the rheology of polypropilene. J Rheol 48:895–914CrossRef Gotsis AD, Zeevenhoven BLF (2004) Effect of long branches on the rheology of polypropilene. J Rheol 48:895–914CrossRef
Zurück zum Zitat Haile JM (1997) Molecular dynamics simulation. Wiley, New York Haile JM (1997) Molecular dynamics simulation. Wiley, New York
Zurück zum Zitat Haward SJ, Odell JA, Li Z, Yuan XF (2010a) Extensional rheology of dilute polymer solutions in oscillatory cross-slot flow: the transient behaviour of birefringent strands. Rheol Acta 49:633–645CrossRef Haward SJ, Odell JA, Li Z, Yuan XF (2010a) Extensional rheology of dilute polymer solutions in oscillatory cross-slot flow: the transient behaviour of birefringent strands. Rheol Acta 49:633–645CrossRef
Zurück zum Zitat Haward SJ, Odell JA, Li Z, Yuan XF (2010b) The rheology of polymer solution elastic strands in extensional flow. Rheol Acta 49:781–788CrossRef Haward SJ, Odell JA, Li Z, Yuan XF (2010b) The rheology of polymer solution elastic strands in extensional flow. Rheol Acta 49:781–788CrossRef
Zurück zum Zitat Haward SJ, Li Z, Lighter D, Thomas B, Odell JA, Yuan X-F (2010c) Flow of dilute to semidilute polystyrene solutions through a benchmark 8:1 planar micro-contraction. J Non-Newton Fluid Mech 165:1654–1669CrossRef Haward SJ, Li Z, Lighter D, Thomas B, Odell JA, Yuan X-F (2010c) Flow of dilute to semidilute polystyrene solutions through a benchmark 8:1 planar micro-contraction. J Non-Newton Fluid Mech 165:1654–1669CrossRef
Zurück zum Zitat Haward SJ, Oliveira MSN, Alves MA, McKinley GH (2012a) Optimized cross-slot flow geometry for microfluidic extensional rheometry. Phys Rev Lett 128301:109 Haward SJ, Oliveira MSN, Alves MA, McKinley GH (2012a) Optimized cross-slot flow geometry for microfluidic extensional rheometry. Phys Rev Lett 128301:109
Zurück zum Zitat Haward SJ, Ober TJ, Oliveira MSN, Alves MA, McKinley GH (2012b) Extensional rheology and elastic instabilities of a wormlike micellar solution in a microfluidic cross-slot device. Soft Matt 8:536–555CrossRef Haward SJ, Ober TJ, Oliveira MSN, Alves MA, McKinley GH (2012b) Extensional rheology and elastic instabilities of a wormlike micellar solution in a microfluidic cross-slot device. Soft Matt 8:536–555CrossRef
Zurück zum Zitat Jabbarzadeh A, Atkinson JD, Tanner RI (2003) Effect of molecular shape on rheological properties in molecular dynamics simulation of star, H , comb, and linear polymer melts. Macromolecules 36:5020–5031CrossRef Jabbarzadeh A, Atkinson JD, Tanner RI (2003) Effect of molecular shape on rheological properties in molecular dynamics simulation of star, H , comb, and linear polymer melts. Macromolecules 36:5020–5031CrossRef
Zurück zum Zitat Kremer K, Grest G (1990) Dynamics of entangled linear polymer melts: a molecular-dynamics simulation. J Chem Phys 92:5057–5086CrossRef Kremer K, Grest G (1990) Dynamics of entangled linear polymer melts: a molecular-dynamics simulation. J Chem Phys 92:5057–5086CrossRef
Zurück zum Zitat Lanzaro A, Yuan X-F (2011) Effects of contraction ratio on non-linear dynamics of semi-dilute, highly polydisperse PAAm solutions in microfluidics. J Non-Newton Fluid Mech 166:1064–1075CrossRef Lanzaro A, Yuan X-F (2011) Effects of contraction ratio on non-linear dynamics of semi-dilute, highly polydisperse PAAm solutions in microfluidics. J Non-Newton Fluid Mech 166:1064–1075CrossRef
Zurück zum Zitat Larson RG (1999) The structure and rheology of complex fluids. Oxford University Press, New York Larson RG (1999) The structure and rheology of complex fluids. Oxford University Press, New York
Zurück zum Zitat Le Tu C, Todd BD, Daivis PJ, Uhlherr A (2009a) The effect of interbranch spacing on structural and rheological properties of hyperbranched polymer melts. J Chem Phys 131(12):164901 Le Tu C, Todd BD, Daivis PJ, Uhlherr A (2009a) The effect of interbranch spacing on structural and rheological properties of hyperbranched polymer melts. J Chem Phys 131(12):164901
Zurück zum Zitat Le Tu C, Todd BD, Daivis PJ, Uhlherr A (2009b) Rheology of hyperbranched polymer melts undergoing planar Couette flow. J Chem Phys 131(10):044902 Le Tu C, Todd BD, Daivis PJ, Uhlherr A (2009b) Rheology of hyperbranched polymer melts undergoing planar Couette flow. J Chem Phys 131(10):044902
Zurück zum Zitat Li Z, Yuan XF, Haward SJ, Odell JA, Yeates S (2011a) Non-linear dynamics of semi-dilute polydisperse polymer solutions in microfluidics: a study of a benchmark flow problem. J Non-Newtonian Fluid Mech 166:951–963CrossRef Li Z, Yuan XF, Haward SJ, Odell JA, Yeates S (2011a) Non-linear dynamics of semi-dilute polydisperse polymer solutions in microfluidics: a study of a benchmark flow problem. J Non-Newtonian Fluid Mech 166:951–963CrossRef
Zurück zum Zitat Li Z, Yuan XF, Haward SJ, Odell JA, Yeates S (2011b) Non-linear dynamics of semi-dilute polydisperse polymer solutions in microfluidics: effects of flow geometry. Rheol Acta Li Z, Yuan XF, Haward SJ, Odell JA, Yeates S (2011b) Non-linear dynamics of semi-dilute polydisperse polymer solutions in microfluidics: effects of flow geometry. Rheol Acta
Zurück zum Zitat Lubansky AS, Boger DV, Servais C, Burbidge AS, Cooper-White JJ (2007) An approximate solution to flow through a contraction for high Trouton ratio fluids. J Non-Newton Fluid Mech 144:87–97CrossRef Lubansky AS, Boger DV, Servais C, Burbidge AS, Cooper-White JJ (2007) An approximate solution to flow through a contraction for high Trouton ratio fluids. J Non-Newton Fluid Mech 144:87–97CrossRef
Zurück zum Zitat Mazur J, Guttman CM, McCracking FL (1973) Monte Carlo studies of self-interacting polymer chains with excluded volume. II. Shape of a chain. Macromolecules 6:872–874CrossRef Mazur J, Guttman CM, McCracking FL (1973) Monte Carlo studies of self-interacting polymer chains with excluded volume. II. Shape of a chain. Macromolecules 6:872–874CrossRef
Zurück zum Zitat Moller D, Munstedt H, Kaspar H (2009) Rheological behaviour and molecular structure of long-chain branched semifluorinated thermoplastics. Rheol Acta 48:509–516CrossRef Moller D, Munstedt H, Kaspar H (2009) Rheological behaviour and molecular structure of long-chain branched semifluorinated thermoplastics. Rheol Acta 48:509–516CrossRef
Zurück zum Zitat Moore JD, Cui ST, Cochran HD, Cummings PT (2000) A molecular dynamics study of a short chain polyethylene melt. I. Steady state shear. J Non-Newtonian Fluid Mech 93:83–99CrossRef Moore JD, Cui ST, Cochran HD, Cummings PT (2000) A molecular dynamics study of a short chain polyethylene melt. I. Steady state shear. J Non-Newtonian Fluid Mech 93:83–99CrossRef
Zurück zum Zitat Neelov IM, Adolf DB (2003) Brownian dynamics simulation of dendrimers under elongational flow: bed-rod model with hydrodynamic interactions. Macromolecules 36:6914–6924CrossRef Neelov IM, Adolf DB (2003) Brownian dynamics simulation of dendrimers under elongational flow: bed-rod model with hydrodynamic interactions. Macromolecules 36:6914–6924CrossRef
Zurück zum Zitat Neelov IM, Adolf DB (2004) Brownian dynamics simulation of hyperbranched polymers under elongational flow. J Phys Chem B 108:7627–7636CrossRef Neelov IM, Adolf DB (2004) Brownian dynamics simulation of hyperbranched polymers under elongational flow. J Phys Chem B 108:7627–7636CrossRef
Zurück zum Zitat Nigen S, Walters K (2002) Viscoelastic contraction flows: comparison of axisymmetric and planar configurations. J Non-Newton Fluid Mech 102:343–359CrossRef Nigen S, Walters K (2002) Viscoelastic contraction flows: comparison of axisymmetric and planar configurations. J Non-Newton Fluid Mech 102:343–359CrossRef
Zurück zum Zitat Nose S (1984) A unified formulation of the constant temperature molecular dynamics methods. J Chem Phys 81:511–519CrossRef Nose S (1984) A unified formulation of the constant temperature molecular dynamics methods. J Chem Phys 81:511–519CrossRef
Zurück zum Zitat Ogura K, Takahashi M (2003) Uniaxial and biaxial behavior of a lightly cross linked PMMA melt at constant rates. J Soc Rheol Jpn 31:79–83CrossRef Ogura K, Takahashi M (2003) Uniaxial and biaxial behavior of a lightly cross linked PMMA melt at constant rates. J Soc Rheol Jpn 31:79–83CrossRef
Zurück zum Zitat Rapaport DC (2004) The art of molecular dynamics simulation. Cambridge University Press, CambridgeCrossRef Rapaport DC (2004) The art of molecular dynamics simulation. Cambridge University Press, CambridgeCrossRef
Zurück zum Zitat Rodd LE, Cooper-White JJ, Boger DV, McKinley GH (2005) The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries. J Non-Newton Fluid Mech 129:1–22CrossRef Rodd LE, Cooper-White JJ, Boger DV, McKinley GH (2005) The inertio-elastic planar entry flow of low-viscosity elastic fluids in micro-fabricated geometries. J Non-Newton Fluid Mech 129:1–22CrossRef
Zurück zum Zitat Rodd LE, Cooper-White JJ, Boger DV, McKinley GH (2007) Role of the elasticity number in the entry flow of diluted polymer solutions in micro-fabricated contraction geometries. J Non-Newton Fluid Mech 143:170–191CrossRef Rodd LE, Cooper-White JJ, Boger DV, McKinley GH (2007) Role of the elasticity number in the entry flow of diluted polymer solutions in micro-fabricated contraction geometries. J Non-Newton Fluid Mech 143:170–191CrossRef
Zurück zum Zitat Rothstein JP, McKinley GH (1999) Extensional flow of a polystyrene Boger fluid through a 4:1:4 axisymmetric contraction/expansion. J Non-Newton Fluid Mech 86:61–88CrossRef Rothstein JP, McKinley GH (1999) Extensional flow of a polystyrene Boger fluid through a 4:1:4 axisymmetric contraction/expansion. J Non-Newton Fluid Mech 86:61–88CrossRef
Zurück zum Zitat Rothstein JP, McKinley GH (2001) The axisymmetric contraction-expansion: the role of extensional rheology on vortex growth dynamics and the enhanced pressure drop. J Non-Newton Fluid Mech 98:33–63CrossRef Rothstein JP, McKinley GH (2001) The axisymmetric contraction-expansion: the role of extensional rheology on vortex growth dynamics and the enhanced pressure drop. J Non-Newton Fluid Mech 98:33–63CrossRef
Zurück zum Zitat Rothstein JP, McKinley GH (2002) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443CrossRef Rothstein JP, McKinley GH (2002) Inhomogeneous transient uniaxial extensional rheometry. J Rheol 46:1419–1443CrossRef
Zurück zum Zitat Szabo P, Rallison JM, Hinch EJ (1997) Start-up of flow of a FENE-fluid through a 4:1:4 constriction in a tube. J Non-Newton Fluid Mech 72:73–86CrossRef Szabo P, Rallison JM, Hinch EJ (1997) Start-up of flow of a FENE-fluid through a 4:1:4 constriction in a tube. J Non-Newton Fluid Mech 72:73–86CrossRef
Zurück zum Zitat Sendijarevic I, McHugh A (2000) Effects of molecular variables and architecture on the rheological behavior of dendritic polymers. Macromolecules 33:590–596CrossRef Sendijarevic I, McHugh A (2000) Effects of molecular variables and architecture on the rheological behavior of dendritic polymers. Macromolecules 33:590–596CrossRef
Zurück zum Zitat Tamaddon-Jahromi HR, Webster MF, Walters K (2010) Predicting numerically the large increases in extra pressure drop when Boger fluids flow through axisymmetric contractions. Nat Sci 2:1–10 Tamaddon-Jahromi HR, Webster MF, Walters K (2010) Predicting numerically the large increases in extra pressure drop when Boger fluids flow through axisymmetric contractions. Nat Sci 2:1–10
Zurück zum Zitat Tamaddon-Jahromi HR, Webster MF, Williams PR (2011) Excess pressure drop and drag calculations for strain-hardening fluids with mild shear-thinning: contraction and falling spheres problems. J Non-Newton Fluid Mech 166:939–950CrossRef Tamaddon-Jahromi HR, Webster MF, Williams PR (2011) Excess pressure drop and drag calculations for strain-hardening fluids with mild shear-thinning: contraction and falling spheres problems. J Non-Newton Fluid Mech 166:939–950CrossRef
Zurück zum Zitat Todd B, Evans D, Daivis P (1995) Pressure tensor for inhomogeneous fluids. Phys Rev E 52:1627–1638CrossRef Todd B, Evans D, Daivis P (1995) Pressure tensor for inhomogeneous fluids. Phys Rev E 52:1627–1638CrossRef
Zurück zum Zitat Wagner MH (2004) Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory. J Rheol 48:489–503CrossRef Wagner MH (2004) Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory. J Rheol 48:489–503CrossRef
Zurück zum Zitat Walters K, Webster MF (2003) The distinctive CFD challenges of computational rheology. Int J Numer Methods Fluids 43:577–596CrossRef Walters K, Webster MF (2003) The distinctive CFD challenges of computational rheology. Int J Numer Methods Fluids 43:577–596CrossRef
Zurück zum Zitat Walters K, Webster MF, Tamaddon-Jahromi HR (2009) The numerical simulation of some contraction flow of a highly elastic liquids and their impact on the relevance of the Couette correction in extensional rheology. Chem Eng Sci 64:4632–4639CrossRef Walters K, Webster MF, Tamaddon-Jahromi HR (2009) The numerical simulation of some contraction flow of a highly elastic liquids and their impact on the relevance of the Couette correction in extensional rheology. Chem Eng Sci 64:4632–4639CrossRef
Zurück zum Zitat Wapperom P, Keunings R (2001) Numerical simulation of branched polymer melts in transient complex flow using Pom-Pom models. J Non-Newton Fluid Mech 97:267–281CrossRef Wapperom P, Keunings R (2001) Numerical simulation of branched polymer melts in transient complex flow using Pom-Pom models. J Non-Newton Fluid Mech 97:267–281CrossRef
Zurück zum Zitat Warner Jr HR (1972) Kinetic theory and rheology of dilute suspensions of finitely extensible dumbbells. Ind & Eng Chem Fundam 11:379–387CrossRef Warner Jr HR (1972) Kinetic theory and rheology of dilute suspensions of finitely extensible dumbbells. Ind & Eng Chem Fundam 11:379–387CrossRef
Zurück zum Zitat Woods-Adams P, Dealy J, deGroot A, Redwine O (2000) Effect of molecular structure on the linear viscoelastic behavior of polyethylene. Macromolecules 33:7489–7499CrossRef Woods-Adams P, Dealy J, deGroot A, Redwine O (2000) Effect of molecular structure on the linear viscoelastic behavior of polyethylene. Macromolecules 33:7489–7499CrossRef
Zurück zum Zitat Xu Z, dePablo JJ, Kim S (1995). Transport properties of polymer melts from nonequilibrium molecular dynamics. J Chem Phys 102:5836–5844CrossRef Xu Z, dePablo JJ, Kim S (1995). Transport properties of polymer melts from nonequilibrium molecular dynamics. J Chem Phys 102:5836–5844CrossRef
Zurück zum Zitat Xu Z, Khare R, dePablo JJ, Kim S (1997) On the calculation of transport properties of polymer melts from nonequilibrium molecular dynamics. J Chem Phys 106:8285–8286CrossRef Xu Z, Khare R, dePablo JJ, Kim S (1997) On the calculation of transport properties of polymer melts from nonequilibrium molecular dynamics. J Chem Phys 106:8285–8286CrossRef
Zurück zum Zitat Zhang Z, Hansen JS, Todd BD (2007) Structural and dynamical properties for confined polymers undergoing planar Poiseuille flow. J Chem Phys 126(1–14):144907CrossRef Zhang Z, Hansen JS, Todd BD (2007) Structural and dynamical properties for confined polymers undergoing planar Poiseuille flow. J Chem Phys 126(1–14):144907CrossRef
Metadaten
Titel
Elastic response from pressure drop measurements through planar contraction–expansion geometries by molecular dynamics: structural effects in melts and molecular origin of excess pressure drop
verfasst von
Jorge Castillo-Tejas
Shirley Carro
Octavio Manero
Publikationsdatum
01.08.2013
Verlag
Springer Berlin Heidelberg
Erschienen in
Rheologica Acta / Ausgabe 8-9/2013
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-013-0709-3

Weitere Artikel der Ausgabe 8-9/2013

Rheologica Acta 8-9/2013 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.