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Published in: Rheologica Acta 9/2012

01-09-2012 | Original Contribution

Axial laminar flow of viscoplastic fluids in a concentric annulus subject to wall slip

Authors: Dilhan M. Kalyon, Moinuddin Malik

Published in: Rheologica Acta | Issue 9/2012

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Abstract

The flow of non-Newtonian fluids in annular geometries is an important problem, especially for the extrusion of polymeric melts and suspensions and for oil and gas exploration. Here, an analytical solution of the equation of motion for the axial flow of an incompressible viscoplastic fluid (represented by the Hershel–Bulkley equation) in a long concentric annulus under isothermal, fully developed, and creeping conditions and subject to true or apparent wall slip is provided. The simplifications of the analytical model for Hershel–Bulkley fluid subject to wall slip also provide the analytical solutions for the axial annular flows of Bingham plastic, power-law, and Newtonian fluids with and without wall slip at one or both surfaces of the annulus.

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Appendix
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Literature
go back to reference Allende M, Kalyon D (2000) Assessment of particle-migration effects in pressure-driven viscometric flows. J Rheol 44(1):79–90CrossRef Allende M, Kalyon D (2000) Assessment of particle-migration effects in pressure-driven viscometric flows. J Rheol 44(1):79–90CrossRef
go back to reference Aral BK, Kalyon DM (1994) Effects of temperature and surface roughness on time-dependent development of wall slip in steady torsional flow of concentrated suspensions. J Rheol 38:957–972CrossRef Aral BK, Kalyon DM (1994) Effects of temperature and surface roughness on time-dependent development of wall slip in steady torsional flow of concentrated suspensions. J Rheol 38:957–972CrossRef
go back to reference Aral BK, Kalyon DM (1995) Rheology and extrudability of very concentrated suspensions: effects of vacuum imposition. Plast Rubber Compos Process Appl 24:201–210 Aral BK, Kalyon DM (1995) Rheology and extrudability of very concentrated suspensions: effects of vacuum imposition. Plast Rubber Compos Process Appl 24:201–210
go back to reference Awati KM, Park Y, Weisser E, Mackay ME (2000) Wall slip and shear stresses of polymer melts at high shear rates without pressure and viscous heating effects. J Non-Newton Fluid Mech 89:117–131CrossRef Awati KM, Park Y, Weisser E, Mackay ME (2000) Wall slip and shear stresses of polymer melts at high shear rates without pressure and viscous heating effects. J Non-Newton Fluid Mech 89:117–131CrossRef
go back to reference Bert CW, Malik M (1996) The differential quadrature method in computational mechanics. App Mech Rev 49:1–28CrossRef Bert CW, Malik M (1996) The differential quadrature method in computational mechanics. App Mech Rev 49:1–28CrossRef
go back to reference Bird RB, Stewart WE, Lightfoot EN (2002) Transport phenomena. Wiley, New York Bird RB, Stewart WE, Lightfoot EN (2002) Transport phenomena. Wiley, New York
go back to reference Brochard F, de Gennes PG (1992) Shear dependent slippage at polymer/solid interface. Langmuir 8:3033–3037CrossRef Brochard F, de Gennes PG (1992) Shear dependent slippage at polymer/solid interface. Langmuir 8:3033–3037CrossRef
go back to reference Brochard-Wyart F, Gay C, de Gennes PG (1996) Slippage of polymer melts on grafted surfaces. Macromolecules 29:377–382CrossRef Brochard-Wyart F, Gay C, de Gennes PG (1996) Slippage of polymer melts on grafted surfaces. Macromolecules 29:377–382CrossRef
go back to reference Brunn P, Abu-Jdayil B (2007) Axial annular flow of plastic fluids: dead zones and plug-free flow. Rheol Acta 46(4):449–454CrossRef Brunn P, Abu-Jdayil B (2007) Axial annular flow of plastic fluids: dead zones and plug-free flow. Rheol Acta 46(4):449–454CrossRef
go back to reference Chatzimina M, Georgiou G, Housiadas K, Hatzikiriakos SG (2009) Stability of the annular Poiseuille flow of a Newtonian liquid with slip along the walls. J Non-Newton. Fluid Mech 159:1–9CrossRef Chatzimina M, Georgiou G, Housiadas K, Hatzikiriakos SG (2009) Stability of the annular Poiseuille flow of a Newtonian liquid with slip along the walls. J Non-Newton. Fluid Mech 159:1–9CrossRef
go back to reference Chen Y, Kalyon DM, Bayramli E (1993) Effects of surface roughness and the chemical structure of materials of construction on wall slip behavior of linear low density polyethylene in capillary flow. J Appl Polym Sci 50:1169–1177CrossRef Chen Y, Kalyon DM, Bayramli E (1993) Effects of surface roughness and the chemical structure of materials of construction on wall slip behavior of linear low density polyethylene in capillary flow. J Appl Polym Sci 50:1169–1177CrossRef
go back to reference Civan F, Sliepcevich CM (1984) Application of differential quadrature to transport processes. J Math Anal Appl 93:206–221CrossRef Civan F, Sliepcevich CM (1984) Application of differential quadrature to transport processes. J Math Anal Appl 93:206–221CrossRef
go back to reference Cohen Y, Metzner AB (1985) An analysis of apparent slip flow of polymer solutions. J Rheol 29:67CrossRef Cohen Y, Metzner AB (1985) An analysis of apparent slip flow of polymer solutions. J Rheol 29:67CrossRef
go back to reference Denn MM (2001) Extrusion instabilities and wall slip. Annual Rev Fluid Mech 33:265–287CrossRef Denn MM (2001) Extrusion instabilities and wall slip. Annual Rev Fluid Mech 33:265–287CrossRef
go back to reference Escudier MP, Gouldson IW (1995) Concentric annular flow with centerbody rotation of a Newtonian and a shear-thinning liquid. Int J Heat Fluid Flow 16:156–162CrossRef Escudier MP, Gouldson IW (1995) Concentric annular flow with centerbody rotation of a Newtonian and a shear-thinning liquid. Int J Heat Fluid Flow 16:156–162CrossRef
go back to reference Escudier MP, Gouldson IW, Oliveira PJ, Pinho FT (2000) Effects of inner cylinder rotation on laminar flow of a Newtonian fluid through an eccentric annulus. Int J Heat Fluid Flow 21:92–103CrossRef Escudier MP, Gouldson IW, Oliveira PJ, Pinho FT (2000) Effects of inner cylinder rotation on laminar flow of a Newtonian fluid through an eccentric annulus. Int J Heat Fluid Flow 21:92–103CrossRef
go back to reference Escudier MP, P.J. Oliveira PJ, Pinho FT, Smith S (2002a) Fully developed laminar flow of non-Newtonian liquids through annuli: comparison of numerical calculations with experiments. Exp Fluids 33:101–111 Escudier MP, P.J. Oliveira PJ, Pinho FT, Smith S (2002a) Fully developed laminar flow of non-Newtonian liquids through annuli: comparison of numerical calculations with experiments. Exp Fluids 33:101–111
go back to reference Escudier MP, P.J. Oliveira PJ, Pinho FT (2002b) Fully developed laminar flow of purely viscous non-Newtonian liquids through annuli, including the effects of eccentricity and inner-cylinder rotation. Int J Heat Fluid Flow 23:52–73CrossRef Escudier MP, P.J. Oliveira PJ, Pinho FT (2002b) Fully developed laminar flow of purely viscous non-Newtonian liquids through annuli, including the effects of eccentricity and inner-cylinder rotation. Int J Heat Fluid Flow 23:52–73CrossRef
go back to reference Fredrickson AG, Bird RB (1958) Non-Newtonian flow in annuli. J Ind Eng Chem 50:347–352CrossRef Fredrickson AG, Bird RB (1958) Non-Newtonian flow in annuli. J Ind Eng Chem 50:347–352CrossRef
go back to reference Gadala-Maria F, Acrivos A (1980) Shear-induced structure in a concentrated suspension of solid spheres. J Rheol 24:799–814CrossRef Gadala-Maria F, Acrivos A (1980) Shear-induced structure in a concentrated suspension of solid spheres. J Rheol 24:799–814CrossRef
go back to reference Gevgilili H, Kalyon DM (2001) Step strain flow: wall slip effects and other error sources. J Rheol 45:1–9CrossRef Gevgilili H, Kalyon DM (2001) Step strain flow: wall slip effects and other error sources. J Rheol 45:1–9CrossRef
go back to reference Gotsis AD, Ji Z, Kalyon DM (1990) 3-D analysis of the flow in co-rotating twin screw extruders. SPE ANTEC Technical Papers 36:139–142 Gotsis AD, Ji Z, Kalyon DM (1990) 3-D analysis of the flow in co-rotating twin screw extruders. SPE ANTEC Technical Papers 36:139–142
go back to reference Halliday PJ, Smith AC (1995) Estimation of wall slip velocity in the capillary flow of potato granule pastes. J Rheol 39: 139–149CrossRef Halliday PJ, Smith AC (1995) Estimation of wall slip velocity in the capillary flow of potato granule pastes. J Rheol 39: 139–149CrossRef
go back to reference Hanks RW (1979) The axial laminar flow of yield-pseudoplastic fluids in a concentric annulus. Ind Eng Chem Process Des Dev 18:488–493CrossRef Hanks RW (1979) The axial laminar flow of yield-pseudoplastic fluids in a concentric annulus. Ind Eng Chem Process Des Dev 18:488–493CrossRef
go back to reference Hanks RW, Larsen KM (1979) The flow of power-law non-Newtonian fluids in concentric annuli. Ind Eng Chem Fundam 18:33–35CrossRef Hanks RW, Larsen KM (1979) The flow of power-law non-Newtonian fluids in concentric annuli. Ind Eng Chem Fundam 18:33–35CrossRef
go back to reference Hatzikiriakos SG, Dealy JM (1991) Wall slip of molten high density polyethylene. I. Sliding plate rheometer studies. J Rheol 35:497–523CrossRef Hatzikiriakos SG, Dealy JM (1991) Wall slip of molten high density polyethylene. I. Sliding plate rheometer studies. J Rheol 35:497–523CrossRef
go back to reference Hatzikiriakos SG, Dealy JM (1992) Wall slip of molten high density polyethylene. II. Capillary rheometer studies. J Rheol 36:703–741CrossRef Hatzikiriakos SG, Dealy JM (1992) Wall slip of molten high density polyethylene. II. Capillary rheometer studies. J Rheol 36:703–741CrossRef
go back to reference Huilgol RR, You, Z (2005) Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel–Bulkley fluids. J Non-Newton. Fluid Mech 128:126–143CrossRef Huilgol RR, You, Z (2005) Application of the augmented Lagrangian method to steady pipe flows of Bingham, Casson and Herschel–Bulkley fluids. J Non-Newton. Fluid Mech 128:126–143CrossRef
go back to reference Jana SC, Kapoor B, Acrivos A (1995) Apparent wall slip velocity coefficients in concentrated suspensions of noncolloidal particles. J Rheol 39:1123–1132CrossRef Jana SC, Kapoor B, Acrivos A (1995) Apparent wall slip velocity coefficients in concentrated suspensions of noncolloidal particles. J Rheol 39:1123–1132CrossRef
go back to reference Jiang TQ, Young AC, Metzner AB (1986) The rheological characterization of HPG gels: measurement of slip velocities in capillary tubes. Rheol Acta 25:397CrossRef Jiang TQ, Young AC, Metzner AB (1986) The rheological characterization of HPG gels: measurement of slip velocities in capillary tubes. Rheol Acta 25:397CrossRef
go back to reference Kalika DS, Denn MM (1987) Wall slip and extrudate distortion in linear low density polyethylene. J Rheol 31:815–834CrossRef Kalika DS, Denn MM (1987) Wall slip and extrudate distortion in linear low density polyethylene. J Rheol 31:815–834CrossRef
go back to reference Kalyon DM, Lawal A, Yazici R, Yaras P, Railkar S (1999) Mathematical modeling and experimental studies of twin-screw extrusion of filled polymers. Polym Eng Sci 39:1139–1151CrossRef Kalyon DM, Lawal A, Yazici R, Yaras P, Railkar S (1999) Mathematical modeling and experimental studies of twin-screw extrusion of filled polymers. Polym Eng Sci 39:1139–1151CrossRef
go back to reference Kalyon DM, Gokturk H, Yaras P, Aral B (1995) Motion analysis of development of wall slip during die flow of concentrated suspensions. Society of Plastics Engineers ANTEC Technical Papers 41:1130–1134 Kalyon DM, Gokturk H, Yaras P, Aral B (1995) Motion analysis of development of wall slip during die flow of concentrated suspensions. Society of Plastics Engineers ANTEC Technical Papers 41:1130–1134
go back to reference Kalyon D, Gevgilili H (2003) Wall slip and extrudate distortion of three polymer melts. J Rheol 47:683–699CrossRef Kalyon D, Gevgilili H (2003) Wall slip and extrudate distortion of three polymer melts. J Rheol 47:683–699CrossRef
go back to reference Kalyon D (2005) Apparent slip and viscoplasticity of concentrated suspensions. J Rheol 49:621–640CrossRef Kalyon D (2005) Apparent slip and viscoplasticity of concentrated suspensions. J Rheol 49:621–640CrossRef
go back to reference Kalyon DM, Tang H (2007) Inverse problem solution of squeeze flow for parameters of generalized Newtonian fluid and wall slip. J Non-Newton. Fluid Mech 143:133–140CrossRef Kalyon DM, Tang H (2007) Inverse problem solution of squeeze flow for parameters of generalized Newtonian fluid and wall slip. J Non-Newton. Fluid Mech 143:133–140CrossRef
go back to reference Kalyon D (2010) An analytical model for steady coextrusion of viscoplastic fluids in thin slit dies with wall slip. Polym Eng Sci 50:652–664CrossRef Kalyon D (2010) An analytical model for steady coextrusion of viscoplastic fluids in thin slit dies with wall slip. Polym Eng Sci 50:652–664CrossRef
go back to reference Krieger IM (1994) Axial flow through a narrow annulus. I. The kinetic energy correction. J Rheol 38:141CrossRef Krieger IM (1994) Axial flow through a narrow annulus. I. The kinetic energy correction. J Rheol 38:141CrossRef
go back to reference Kwon TH, Ahn SY (1995) Slip characterization of powder/binder mixtures and its significance in the filling process analysis of powder injection molding. Pow Tech 85:45–55CrossRef Kwon TH, Ahn SY (1995) Slip characterization of powder/binder mixtures and its significance in the filling process analysis of powder injection molding. Pow Tech 85:45–55CrossRef
go back to reference Lawal A, Kalyon DM, Yilmazer U (1993) Extrusion and lubrication flows of viscoplastic fluids with wall slip. Chem Eng Commun 122:127CrossRef Lawal A, Kalyon DM, Yilmazer U (1993) Extrusion and lubrication flows of viscoplastic fluids with wall slip. Chem Eng Commun 122:127CrossRef
go back to reference Lawal A, Kalyon DM (1994a) Single screw extrusion of viscoplastic fluids subject to different slip coefficients at screw and barrel surfaces. Polym Eng Sci 34:1471–1479CrossRef Lawal A, Kalyon DM (1994a) Single screw extrusion of viscoplastic fluids subject to different slip coefficients at screw and barrel surfaces. Polym Eng Sci 34:1471–1479CrossRef
go back to reference Lawal A, Kalyon DM (1994b) Nonisothermal model of single screw extrusion of generalized Newtonian fluids. Numer Heat Tranf A 26:103–121CrossRef Lawal A, Kalyon DM (1994b) Nonisothermal model of single screw extrusion of generalized Newtonian fluids. Numer Heat Tranf A 26:103–121CrossRef
go back to reference Lawal A, Kalyon DM (1998) Squeezing flow of viscoplastic fluids subject to wall slip. Polym Eng 38:1793–1804CrossRef Lawal A, Kalyon DM (1998) Squeezing flow of viscoplastic fluids subject to wall slip. Polym Eng 38:1793–1804CrossRef
go back to reference Leger L, Hervet H, Massey G (1997) The role of attached polymer molecules in wall slip. Trends Polym Sci 5:40–45 Leger L, Hervet H, Massey G (1997) The role of attached polymer molecules in wall slip. Trends Polym Sci 5:40–45
go back to reference Leighton D, Acrivos A (1987) The shear-induced migration of particles in concentrated suspensions. J Fluid Mech 181: 415–439CrossRef Leighton D, Acrivos A (1987) The shear-induced migration of particles in concentrated suspensions. J Fluid Mech 181: 415–439CrossRef
go back to reference Malik M, Civan F (1995) A comparative study of differential quadrature and cubature methods vis-a-vis some conventional techniques in context of convection-diffusion-reaction problems. Chem Eng Sci 50:531–547CrossRef Malik M, Civan F (1995) A comparative study of differential quadrature and cubature methods vis-a-vis some conventional techniques in context of convection-diffusion-reaction problems. Chem Eng Sci 50:531–547CrossRef
go back to reference Martin PJ, Wilson DI, Bonnett PE (2004) Rheological study of a talc-based paste for extrusion-granulation. J Eur Ceram Soc 24:3155–3168CrossRef Martin PJ, Wilson DI, Bonnett PE (2004) Rheological study of a talc-based paste for extrusion-granulation. J Eur Ceram Soc 24:3155–3168CrossRef
go back to reference Meeker SP, Bonnecaze RT, Cloitre M (2004a) Slip and flow in pastes of soft particles: direct observation and rheology. J Rheol 48:1295–1320CrossRef Meeker SP, Bonnecaze RT, Cloitre M (2004a) Slip and flow in pastes of soft particles: direct observation and rheology. J Rheol 48:1295–1320CrossRef
go back to reference Meeker SP, Bonnecaze RT, Cloitre M (2004b) Slip and flow in soft particle pastes. Phys Rev Lett 92:198302–1–4CrossRef Meeker SP, Bonnecaze RT, Cloitre M (2004b) Slip and flow in soft particle pastes. Phys Rev Lett 92:198302–1–4CrossRef
go back to reference Meuric OF, Wakeman RJ, Chiu TW, Fisher KA (1998) Numerical flow simulation of viscoplastic fluids in annuli. Can J Chem Eng 76:27–40CrossRef Meuric OF, Wakeman RJ, Chiu TW, Fisher KA (1998) Numerical flow simulation of viscoplastic fluids in annuli. Can J Chem Eng 76:27–40CrossRef
go back to reference Migler KB, Herve H, Leger L (1993) Slip transition of a polymer melt under shear stress. Phys Rev Lett 70:287–290CrossRef Migler KB, Herve H, Leger L (1993) Slip transition of a polymer melt under shear stress. Phys Rev Lett 70:287–290CrossRef
go back to reference Mitsuishi N, Aoyagi Y (1973) Non-Newtonian fluid flow in an eccentric annulus. J Chem Eng Jpn 6:402–408CrossRef Mitsuishi N, Aoyagi Y (1973) Non-Newtonian fluid flow in an eccentric annulus. J Chem Eng Jpn 6:402–408CrossRef
go back to reference Mooney M (1931) Explicit formulas for slip and fluidity. J Rheol 2:210–222CrossRef Mooney M (1931) Explicit formulas for slip and fluidity. J Rheol 2:210–222CrossRef
go back to reference Münstedt H, Schmidt M, Wassner E (2000) Stick and slip phenomena during extrusion of polyethylene melts as investigated by laser-Doppler velocimetry. J Rheol 44:413–427CrossRef Münstedt H, Schmidt M, Wassner E (2000) Stick and slip phenomena during extrusion of polyethylene melts as investigated by laser-Doppler velocimetry. J Rheol 44:413–427CrossRef
go back to reference Navier C (1823) Memoire sur les lois du mouvement des fluids. Mem Acad R Sci Inst France 6:389–340 Navier C (1823) Memoire sur les lois du mouvement des fluids. Mem Acad R Sci Inst France 6:389–340
go back to reference Nott RP, Brady JF (1994) Pressure-driven flow of suspensions: simulations and theory. J Fluid Mech 275:157–199CrossRef Nott RP, Brady JF (1994) Pressure-driven flow of suspensions: simulations and theory. J Fluid Mech 275:157–199CrossRef
go back to reference Nouar C, Desaubry C, Zenaidi H (1998) Numerical and experimental investigation of thermal convection for a thermodependent Herschel–Bulkley fluid in an annular duct with rotating inner cylinder. Eur J Mech B17:875–900CrossRef Nouar C, Desaubry C, Zenaidi H (1998) Numerical and experimental investigation of thermal convection for a thermodependent Herschel–Bulkley fluid in an annular duct with rotating inner cylinder. Eur J Mech B17:875–900CrossRef
go back to reference Nouri JM, Umur H, Whitelaw JH (1993) Flow of Newtonian and non-Newtonian fluids in concentric and eccentric annuli. J Fluid Mech 253:617–641CrossRef Nouri JM, Umur H, Whitelaw JH (1993) Flow of Newtonian and non-Newtonian fluids in concentric and eccentric annuli. J Fluid Mech 253:617–641CrossRef
go back to reference Nouri JM, Whitelaw JH (1994) Flow of Newtonian and non-Newtonian fluids in a concentric annulus with rotation of the inner cylinder. J Fluids Eng 116:821–827CrossRef Nouri JM, Whitelaw JH (1994) Flow of Newtonian and non-Newtonian fluids in a concentric annulus with rotation of the inner cylinder. J Fluids Eng 116:821–827CrossRef
go back to reference Person TJ, Denn MM (1997) The effect of die materials and pressure-dependent slip on the extrusion of linear low-density polyethylene. J Rheol 41:249–265CrossRef Person TJ, Denn MM (1997) The effect of die materials and pressure-dependent slip on the extrusion of linear low-density polyethylene. J Rheol 41:249–265CrossRef
go back to reference Phillips RJ, Armstrong RC, Brown RA, Graham AL, Abbott JR (1992) A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys Fluids A4:30–40CrossRef Phillips RJ, Armstrong RC, Brown RA, Graham AL, Abbott JR (1992) A constitutive equation for concentrated suspensions that accounts for shear-induced particle migration. Phys Fluids A4:30–40CrossRef
go back to reference Poyiadji S, Georgiou GC, Kaouri K, Housiadas KD (2012) Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall. Rheol Acta. doi:10.1007/s00397–012–0618-x Poyiadji S, Georgiou GC, Kaouri K, Housiadas KD (2012) Perturbation solutions of weakly compressible Newtonian Poiseuille flows with Navier slip at the wall. Rheol Acta. doi:10.​1007/​s00397–012–0618-x
go back to reference Ramamurthy AV (1986) Wall slip in viscous fluids and influence of materials of construction. J Rheol 30:337–357CrossRef Ramamurthy AV (1986) Wall slip in viscous fluids and influence of materials of construction. J Rheol 30:337–357CrossRef
go back to reference Reiner M (1960) Deformation, strain and flow. H.K. Lewis & Co, London Reiner M (1960) Deformation, strain and flow. H.K. Lewis & Co, London
go back to reference Reilly FJ, Price WL (1961) Plastic flow in injection molds. SPE J 1097–1101 Reilly FJ, Price WL (1961) Plastic flow in injection molds. SPE J 1097–1101
go back to reference Tang HS, Kalyon D (2004) Estimation of the parameters of Herschel–Bulkley fluid under wall slip using a combination of capillary and squeeze flow viscometers. Rheol Acta 43:180–88CrossRef Tang HS, Kalyon D (2004) Estimation of the parameters of Herschel–Bulkley fluid under wall slip using a combination of capillary and squeeze flow viscometers. Rheol Acta 43:180–88CrossRef
go back to reference Tang HS, Kalyon DM (2008a) Unsteady circular tube flow of compressible polymeric liquids subject to pressure-dependent wall slip. J Rheol 52:507–526CrossRef Tang HS, Kalyon DM (2008a) Unsteady circular tube flow of compressible polymeric liquids subject to pressure-dependent wall slip. J Rheol 52:507–526CrossRef
go back to reference Tang HS, Kalyon DM (2008b) Time-dependent tube flow of compressible suspensions subject to pressure dependent wall slip: ramifications on development of flow instabilities. J Rheol 52:1069–1090CrossRef Tang HS, Kalyon DM (2008b) Time-dependent tube flow of compressible suspensions subject to pressure dependent wall slip: ramifications on development of flow instabilities. J Rheol 52:1069–1090CrossRef
go back to reference Tang HS (2012) Analysis on creeping flows of compressible fluids subject to wall slip. Rheol Acta 51:421–439CrossRef Tang HS (2012) Analysis on creeping flows of compressible fluids subject to wall slip. Rheol Acta 51:421–439CrossRef
go back to reference Tetlow N, Graham AL, Ingber MS, Subia SR, Mondy LA, Altobelli SA (1998) Particle migration in a Couette apparatus: experiment and modeling. J Rheol 42:307–327CrossRef Tetlow N, Graham AL, Ingber MS, Subia SR, Mondy LA, Altobelli SA (1998) Particle migration in a Couette apparatus: experiment and modeling. J Rheol 42:307–327CrossRef
go back to reference Tiu C, Bhattacharyya S (1974) Developing and fully developed velocity profiles for inelastic power-law fluids in an annulus. AIChE J 20:1140–1144CrossRef Tiu C, Bhattacharyya S (1974) Developing and fully developed velocity profiles for inelastic power-law fluids in an annulus. AIChE J 20:1140–1144CrossRef
go back to reference Vand V (1948) Viscosity of solutions and suspensions: I. Theory. J Phys Colloid Chem 52:277–314CrossRef Vand V (1948) Viscosity of solutions and suspensions: I. Theory. J Phys Colloid Chem 52:277–314CrossRef
go back to reference Vinogradov GV, Ivanova LI (1967) Viscous properties of polymer melts and elastomers exemplified by ethylene-propylene copolymer. Rheol Acta 6:209–222CrossRef Vinogradov GV, Ivanova LI (1967) Viscous properties of polymer melts and elastomers exemplified by ethylene-propylene copolymer. Rheol Acta 6:209–222CrossRef
go back to reference White JL, Han H, Nakajima N, Brzoskowski R (1991) The influence of materials of construction on biconical rotor and capillary measurements of shear viscosity of rubber and its compounds and considerations of slippage. J Rheol 35:167–189CrossRef White JL, Han H, Nakajima N, Brzoskowski R (1991) The influence of materials of construction on biconical rotor and capillary measurements of shear viscosity of rubber and its compounds and considerations of slippage. J Rheol 35:167–189CrossRef
go back to reference Yilmazer U, Kalyon DM (1989) Slip effects in capillary and parallel disk torsional flows of highly filled suspensions. J Rheol 33:1197–1212CrossRef Yilmazer U, Kalyon DM (1989) Slip effects in capillary and parallel disk torsional flows of highly filled suspensions. J Rheol 33:1197–1212CrossRef
go back to reference Yoshimura A, Prud’homme RK (1988) Wall slip corrections for Couette and parallel disk viscometers. J Rheol 32:53–67CrossRef Yoshimura A, Prud’homme RK (1988) Wall slip corrections for Couette and parallel disk viscometers. J Rheol 32:53–67CrossRef
go back to reference Zhang W, Silvi N, Vlachopoulos J (1995) Modelling and experiments of squeezing flow of polymer melts. Int Polym Process 155–164 Zhang W, Silvi N, Vlachopoulos J (1995) Modelling and experiments of squeezing flow of polymer melts. Int Polym Process 155–164
Metadata
Title
Axial laminar flow of viscoplastic fluids in a concentric annulus subject to wall slip
Authors
Dilhan M. Kalyon
Moinuddin Malik
Publication date
01-09-2012
Publisher
Springer-Verlag
Published in
Rheologica Acta / Issue 9/2012
Print ISSN: 0035-4511
Electronic ISSN: 1435-1528
DOI
https://doi.org/10.1007/s00397-012-0641-y

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