Skip to main content
Erschienen in: Meccanica 8/2017

11.10.2016

Investigation of stresses and normal stress differences behavior on symmetric and asymmetric polymeric fluid flow through planar gradual expansions

verfasst von: M. Norouzi, A. Shahbani Zahiri, M. M. Shahmardan, H. Hassanzadeh, M. Davoodi

Erschienen in: Meccanica | Ausgabe 8/2017

Einloggen

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

search-config
loading …

Abstract

A numerical study of stress distribution of polymeric viscoelastic fluids passing through planar gradual expansion channels is conducted. To model the viscoelastic behavior in geometries with 1:3 expansion ratios, the exponential form of Phan-Thien Tanner model is employed as the constitutive equation. The PISO algorithm is used to solve the flow field distribution. Three different expansion angles of 30°, 45° and 60° are considered to probe the effects of the gradual expansion and its effect on the stress field distribution. The main purpose of the current study is to analysis the combined effects of the rheological properties and inertia on the normal stress distribution. To achieve this aim, different expansion angles and different ranges of Weissenberg and Reynolds numbers are studied.

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

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!

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!

Literatur
1.
Zurück zum Zitat Abbott D, Kline S (1962) Experimental investigation of subsonic turbulent flow over single and double backward facing steps. J Fluids Eng 84:317–325 Abbott D, Kline S (1962) Experimental investigation of subsonic turbulent flow over single and double backward facing steps. J Fluids Eng 84:317–325
2.
Zurück zum Zitat Durst F, Melling A, Whitelaw J (1974) Low Reynolds number flow over a plane symmetric sudden expansion. J Fluid Mech 64:111–128ADSCrossRef Durst F, Melling A, Whitelaw J (1974) Low Reynolds number flow over a plane symmetric sudden expansion. J Fluid Mech 64:111–128ADSCrossRef
3.
Zurück zum Zitat Durst F, Pereira J, Tropea C (1993) The plane symmetric sudden-expansion flow at low Reynolds numbers. J Fluid Mech 248:567–581ADSCrossRef Durst F, Pereira J, Tropea C (1993) The plane symmetric sudden-expansion flow at low Reynolds numbers. J Fluid Mech 248:567–581ADSCrossRef
4.
Zurück zum Zitat Drikakis D (1997) Bifurcation phenomena in incompressible sudden expansion flows. Phys Fluids 9:76–87ADSCrossRef Drikakis D (1997) Bifurcation phenomena in incompressible sudden expansion flows. Phys Fluids 9:76–87ADSCrossRef
5.
Zurück zum Zitat Battaglia F, Tavener SJ, Kulkarni AK, Merkle CL (1997) Bifurcation of low Reynolds number flows in symmetric channels. AIAA journal 35:99–105ADSCrossRefMATH Battaglia F, Tavener SJ, Kulkarni AK, Merkle CL (1997) Bifurcation of low Reynolds number flows in symmetric channels. AIAA journal 35:99–105ADSCrossRefMATH
6.
Zurück zum Zitat Darwish M, Whiteman J, Bevis M (1992) Numerical modelling of viscoelastic liquids using a finite-volume method. J Non-Newtonian Fluid Mech 45:311–337CrossRefMATH Darwish M, Whiteman J, Bevis M (1992) Numerical modelling of viscoelastic liquids using a finite-volume method. J Non-Newtonian Fluid Mech 45:311–337CrossRefMATH
7.
Zurück zum Zitat Missirlis K, Assimacopoulos D, Mitsoulis E (1998) A finite volume approach in the simulation of viscoelastic expansion flows. J Non-Newtonian Fluid Mech 78:91–118CrossRefMATH Missirlis K, Assimacopoulos D, Mitsoulis E (1998) A finite volume approach in the simulation of viscoelastic expansion flows. J Non-Newtonian Fluid Mech 78:91–118CrossRefMATH
8.
Zurück zum Zitat Oliveira PJ (2003) Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries. J Non-Newtonian Fluid Mech 114:33–63CrossRefMATH Oliveira PJ (2003) Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries. J Non-Newtonian Fluid Mech 114:33–63CrossRefMATH
9.
Zurück zum Zitat Rocha GN, Poole RJ, Oliveira PJ (2007) Bifurcation phenomena in viscoelastic flows through a symmetric 1: 4 expansion. J Non-Newtonian Fluid Mech 141:1–17CrossRefMATH Rocha GN, Poole RJ, Oliveira PJ (2007) Bifurcation phenomena in viscoelastic flows through a symmetric 1: 4 expansion. J Non-Newtonian Fluid Mech 141:1–17CrossRefMATH
10.
Zurück zum Zitat Chilcott M, Rallison JM (1988) Creeping flow of dilute polymer solutions past cylinders and spheres. J Non-Newtonian Fluid Mech 29:381–432CrossRefMATH Chilcott M, Rallison JM (1988) Creeping flow of dilute polymer solutions past cylinders and spheres. J Non-Newtonian Fluid Mech 29:381–432CrossRefMATH
11.
Zurück zum Zitat Oliveira PJ, Pinho FT (1999) Analytical solution for fully developed channel and pipe flow of Phan-Thien–Tanner fluids. J Fluid Mech 387:271–280ADSMathSciNetCrossRefMATH Oliveira PJ, Pinho FT (1999) Analytical solution for fully developed channel and pipe flow of Phan-Thien–Tanner fluids. J Fluid Mech 387:271–280ADSMathSciNetCrossRefMATH
12.
Zurück zum Zitat Alves MA, Pinho FT, Oliveira PJ (2001) Study of steady pipe and channel flows of a single-mode Phan-Thien–Tanner fluid. J Non-Newtonian Fluid Mech 101:55–76CrossRefMATH Alves MA, Pinho FT, Oliveira PJ (2001) Study of steady pipe and channel flows of a single-mode Phan-Thien–Tanner fluid. J Non-Newtonian Fluid Mech 101:55–76CrossRefMATH
13.
Zurück zum Zitat Cruz D, Pinho F (2007) Fully-developed pipe and planar flows of multimode viscoelastic fluids. J Non-Newtonian Fluid Mech 141:85–98CrossRefMATH Cruz D, Pinho F (2007) Fully-developed pipe and planar flows of multimode viscoelastic fluids. J Non-Newtonian Fluid Mech 141:85–98CrossRefMATH
14.
Zurück zum Zitat Poole R, Alves M, Oliveira P, Pinho F (2007) Plane sudden expansion flows of viscoelastic liquids. J Non-Newtonian Fluid Mech 146:79–91CrossRefMATH Poole R, Alves M, Oliveira P, Pinho F (2007) Plane sudden expansion flows of viscoelastic liquids. J Non-Newtonian Fluid Mech 146:79–91CrossRefMATH
15.
Zurück zum Zitat Azizi M, Ahmad Ramazani SA, Habib Etemadi M, Ehsan Shirzaei S (2013) Simulation of viscoelastic fluid flows in expansion geometry using finite volume approach. Chin J Polym Sci 31:1599–1612CrossRef Azizi M, Ahmad Ramazani SA, Habib Etemadi M, Ehsan Shirzaei S (2013) Simulation of viscoelastic fluid flows in expansion geometry using finite volume approach. Chin J Polym Sci 31:1599–1612CrossRef
16.
Zurück zum Zitat Norouzi M, Shahmardan MM, Shahbani Zahiri A (2015) Bifurcation phenomenon of inertial viscoelastic flow through gradual expansions. Rheol Acta 54:423–435CrossRef Norouzi M, Shahmardan MM, Shahbani Zahiri A (2015) Bifurcation phenomenon of inertial viscoelastic flow through gradual expansions. Rheol Acta 54:423–435CrossRef
17.
Zurück zum Zitat Li X, Han X, Wang X (2010) Numerical modeling of viscoelastic flows using equal low-order finite elements. Comput Methods Appl Mech Eng 199:570–581ADSMathSciNetCrossRefMATH Li X, Han X, Wang X (2010) Numerical modeling of viscoelastic flows using equal low-order finite elements. Comput Methods Appl Mech Eng 199:570–581ADSMathSciNetCrossRefMATH
18.
Zurück zum Zitat Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2:353–365CrossRefMATH Phan-Thien N, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2:353–365CrossRefMATH
19.
21.
Zurück zum Zitat Tanner R, Huilgol R (1975) On a classification scheme for flow fields. Rheol Acta 14:959–962CrossRefMATH Tanner R, Huilgol R (1975) On a classification scheme for flow fields. Rheol Acta 14:959–962CrossRefMATH
22.
Zurück zum Zitat Alves MA, Pinho FT, Oliveira PJ (2008) Viscoelastic flow in a 3D square/square contraction: visualizations and simulations. J Rheol 52:1347–1368ADSCrossRef Alves MA, Pinho FT, Oliveira PJ (2008) Viscoelastic flow in a 3D square/square contraction: visualizations and simulations. J Rheol 52:1347–1368ADSCrossRef
23.
Zurück zum Zitat Phan-Thien N (2013) Inelastic models and linear viscoelasticity. In: Understanding viscoelasticity, 2nd edn. Berlin, Springer, pp 89–103 Phan-Thien N (2013) Inelastic models and linear viscoelasticity. In: Understanding viscoelasticity, 2nd edn. Berlin, Springer, pp 89–103
24.
Zurück zum Zitat Versteeg HK, Malalasekera W (2007) An introduction to computational fluid dynamics: the finite volume method, 2nd edn. Pearson Education, New York City Versteeg HK, Malalasekera W (2007) An introduction to computational fluid dynamics: the finite volume method, 2nd edn. Pearson Education, New York City
25.
Zurück zum Zitat Jang DS, Jetli R, Acharya S (1986) Comparison of the PISO, SIMPER and SIMPLEC algorithms for the treatment of the pressure-velocity coupling in steady flow problems. Numer Heat Transf 10:209–228ADSCrossRefMATH Jang DS, Jetli R, Acharya S (1986) Comparison of the PISO, SIMPER and SIMPLEC algorithms for the treatment of the pressure-velocity coupling in steady flow problems. Numer Heat Transf 10:209–228ADSCrossRefMATH
26.
Zurück zum Zitat Oliveira PJ, Pinho FT, Pinto GA (1998) Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J Non-Newtonian Fluid Mech 79:1–43CrossRefMATH Oliveira PJ, Pinho FT, Pinto GA (1998) Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J Non-Newtonian Fluid Mech 79:1–43CrossRefMATH
27.
Zurück zum Zitat Patankar SV, Spalding DB (1972) A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int J Heat Mass Transf 15:1787–1806CrossRefMATH Patankar SV, Spalding DB (1972) A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int J Heat Mass Transf 15:1787–1806CrossRefMATH
28.
29.
Zurück zum Zitat Jacobs DAH (1981) Preconditioned conjugate gradient methods for solving systems of algebraic equations. Central Electricity Research Laboratories, CERL, London Jacobs DAH (1981) Preconditioned conjugate gradient methods for solving systems of algebraic equations. Central Electricity Research Laboratories, CERL, London
30.
Zurück zum Zitat Lee J, Yoon S, Kwon Y, Kim S (2004) Practical comparison of differential viscoelastic constitutive equations in finite element analysis of planar 4: 1 contraction flow. Rheol Acta 44:188–197CrossRef Lee J, Yoon S, Kwon Y, Kim S (2004) Practical comparison of differential viscoelastic constitutive equations in finite element analysis of planar 4: 1 contraction flow. Rheol Acta 44:188–197CrossRef
31.
Zurück zum Zitat Fearn R, Mullin T, Cliffe K (1990) Nonlinear flow phenomena in a symmetric sudden expansion. J Fluid Mech 211:595–608ADSCrossRef Fearn R, Mullin T, Cliffe K (1990) Nonlinear flow phenomena in a symmetric sudden expansion. J Fluid Mech 211:595–608ADSCrossRef
32.
Zurück zum Zitat Dealy J, Wang J (2013) Viscosity and normal stress differences. Melt rheology and its applications in the plastics industry, 2nd edn. Springer, Netherland, pp 19–47CrossRef Dealy J, Wang J (2013) Viscosity and normal stress differences. Melt rheology and its applications in the plastics industry, 2nd edn. Springer, Netherland, pp 19–47CrossRef
Metadaten
Titel
Investigation of stresses and normal stress differences behavior on symmetric and asymmetric polymeric fluid flow through planar gradual expansions
verfasst von
M. Norouzi
A. Shahbani Zahiri
M. M. Shahmardan
H. Hassanzadeh
M. Davoodi
Publikationsdatum
11.10.2016
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 8/2017
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-016-0531-y

Weitere Artikel der Ausgabe 8/2017

Meccanica 8/2017 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.