nach oben

Rheologica Acta

Erschienen in:

01.05.2015 | Original Contribution

Bifurcation phenomenon of inertial viscoelastic flow through gradual expansions

verfasst von: Mahmood Norouzi, Mohammad Mohsen Shahmardan, Amin Shahbani Zahiri

Erschienen in: Rheologica Acta | Ausgabe 5/2015

Einloggen

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

search-config

KI-gestützte Suche

Aus

Abstract

In this paper, viscoelastic fluid flows in planar gradual expansions are studied numerically for the first time. Expansion ratio is considered to be 1:3, and exponential Phan Thien-Tanner (EPTT) model is used as the constitutive equation. The investigation is carried out based on a numerical approach using finite volume method (FVM) and Pressure Implicit with Splitting of Operator (PISO) algorithm. Three angles of 30, 45, and 60° are selected to clarify the effects of gradual expansion angles. Combined effects of dynamics and rheological parameters on bifurcation phenomenon are investigated in detail. An analysis is conducted to elucidate the influences of Reynolds and Weissenberg numbers on the dynamics, shapes, length, and intensity of vortices in stable and unstable situations. The results proved that an increment in expansion angles destabilizes the flow regime.

Vorheriger Artikel Experimental investigation on viscosity of water-based Al2O3 and TiO2 nanofluids

Nächster Artikel Solvent transportation behavior of mechanically constrained agarose gels

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!

Jetzt informieren

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!

Jetzt informieren

Abbott DE, Kline SJ (1962) Experimental investigation of subsonic turbulent flow over single and double backward facing steps. J Fluids Eng 84:317–325

Ajiz M, Jennings A (1984) A robust incomplete Cholesky-conjugate gradient algorithm. Int J Numer Methods Eng 20:949–966CrossRef

Alves M, Pinho F, Oliveira P (2008) Viscoelastic flow in a 3D square/square contraction: visualizations and simulations. J Rheol 52:1347–1368CrossRef

Battaglia F, Tavener SJ, Kulkarni AK, Merkle CL (1997) Bifurcation of low Reynolds number flows in symmetric channels. AIAA J 35:99–105CrossRef

Bird RB, Wiest JM (1995) Constitutive equations for polymeric liquids. Annu Rev Fluid Mech 27:169–193CrossRef

Cherdron W, Durst F, Whitelaw JH (1978) Asymmetric flows and instabilities in symmetric ducts with sudden expansions. J Fluid Mech 84:13–31CrossRef

Cruz D, Pinho F (2007) Fully-developed pipe and planar flows of multimode viscoelastic fluids. J Non-Newtonian Fluid Mech 141:85–98CrossRef

Darwish M, Whiteman J, Bevis M (1992) Numerical modelling of viscoelastic liquids using a finite-volume method. J Non-Newtonian Fluid Mech 45:311–337CrossRef

Dealy JM (2010) Weissenberg and Deborah numbers—their definition and use Rheology Bulletin, vol 79. The American Institute of Physics, pp 14–18

Drikakis D (1997) Bifurcation phenomena in incompressible sudden expansion flows. Phys Fluids 9:76–87CrossRef

Durst F, Pereira JCF, Tropea C (1993) The plane symmetric sudden-expansion flow at low Reynolds numbers. J Fluid Mech 248:567–581CrossRef

Fearn R, Mullin T, Cliffe K (1990) Nonlinear flow phenomena in a symmetric sudden expansion. J Fluid Mech 211:595–608CrossRef

Issa RI (1986) Solution of the implicitly discretised fluid flow equations by operator-splitting. J Comput Phys 62:40–65CrossRef

Jang D, Jetli R, Acharya S (1986) Comparison of the PISO, SIMPLER, and SIMPLEC algorithms for the treatment of the pressure–velocity coupling in steady flow problems. Numer Heat Transfer A Appl 10:209–228

Lee J, Zhang J, Lu C-C (2003) Incomplete LU preconditioning for large scale dense complex linear systems from electromagnetic wave scattering problems. J Comput Phys 185:158–175CrossRef

Mishra S, Jayaraman K (2002) Asymmetric flows in planar symmetric channels with large expansion ratio. Int J Numer Methods Fluids 38:945–962CrossRef

Missirlis K, Assimacopoulos D, Mitsoulis E (1998) A finite volume approach in the simulation of viscoelastic expansion flows. J Non-Newtonian Fluid Mech 78:91–118CrossRef

Mitsoulis E, Huilgol R (2004) Entry flows of Bingham plastics in expansions. J Non-Newtonian Fluid Mech 122:45–54CrossRef

Oliveira PJ (2003) Asymmetric flows of viscoelastic fluids in symmetric planar expansion geometries. J Non-Newtonian Fluid Mech 114:33–63CrossRef

Oliveira P, Pinho F (1999) Analytical solution for fully developed channel and pipe flow of Phan-Thien-Tanner fluids. J Fluid Mech 387:271–280CrossRef

Oliveira P, Pinho F, Pinto G (1998) Numerical simulation of non-linear elastic flows with a general collocated finite-volume method. J Non-Newtonian Fluid Mech 79:1–43CrossRef

Patankar SV, Spalding DB (1972) A calculation procedure for heat, mass and momentum transfer in three-dimensional parabolic flows. Int J Heat Mass Transf 15:1787–1806CrossRef

Phan-Thien N (1978) A nonlinear network viscoelastic model. J Rheol 22:259–283CrossRef

Phan-Thien N (2013) Understanding viscoelasticity: an introduction to rheology. Springer, HeidelbergCrossRef

Poole R, Escudier M (2003) Turbulent flow of non-Newtonian liquids over a backward-facing step: part II. Viscoelastic and shear-thinning liquids. J Non-Newtonian Fluid Mech 109:193–230CrossRef

Poole R, Alves M, Oliveira P, Pinho F (2007) Plane sudden expansion flows of viscoelastic liquids. J Non-Newtonian Fluid Mech 146:79–91CrossRef

Poole R, Pinho F, Alves M, Oliveira P (2009) The effect of expansion ratio for creeping expansion flows of UCM fluids. J Non-Newtonian Fluid Mech 163:35–44CrossRef

Rocha GN, Poole RJ, Oliveira PJ (2007) Bifurcation phenomena in viscoelastic flows through a symmetric 1:4 expansion. J Non-Newtonian Fluid Mech 141:1–17CrossRef

Rosa S, Pinho F (2006) Pressure drop coefficient of laminar Newtonian flow in axisymmetric diffusers. Int J Heat Fluid Flow 27:319–328CrossRef

See H, Jiang P, Phan-Thien N (2000) Concentration dependence of the linear viscoelastic properties of particle suspensions. Rheol Acta 39:131–137CrossRef

Shapira M, Degani D, Weihs D (1990) Stability and existence of multiple solutions for viscous flow in suddenly enlarged channels. Comput Fluids 18:239–258CrossRef

Tanner RI, Huilgol RR (1975) On a classification scheme for flow fields. Rheol Acta 14:959–962CrossRef

Thien NP, Tanner RI (1977) A new constitutive equation derived from network theory. J Non-Newtonian Fluid Mech 2:353–365CrossRef

Townsend P, Walters K (1994) Expansion flows on non-Newtonian liquids. Chem Eng Sci 49:748–763CrossRef

Versteeg HK, Malalasekera W (2007) An introduction to computational fluid dynamics: the finite volume method. Pearson Education Limited, Harlow

Wille R, Fernholz H (1965) Report on the first European mechanics colloquium, on the Coanda effect. J Fluid Mech 23:801–819CrossRef

Zheng Z-Y, Li F-C, Yang J-C (2013) Modeling asymmetric flow of viscoelastic fluid in symmetric planar sudden expansion geometry based on user-defined function in FLUENT CFD package. Adv Mech Eng 2013, 795937CrossRef

Titel: Bifurcation phenomenon of inertial viscoelastic flow through gradual expansions
verfasst von: Mahmood Norouzi
Mohammad Mohsen Shahmardan
Amin Shahbani Zahiri
Publikationsdatum: 01.05.2015
Verlag: Springer Berlin Heidelberg
Erschienen in: Rheologica Acta / Ausgabe 5/2015
Print ISSN: 0035-4511
Elektronische ISSN: 1435-1528
DOI: https://doi.org/10.1007/s00397-015-0841-3

Premium Partner

Marktübersichten

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

Zur Marktübersicht

Springer Professional

Abstract

Bitte loggen Sie sich ein, um Zugang zu Ihrer Lizenz zu erhalten.

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

Springer Professional "Technik"

Springer Professional "Wirtschaft+Technik"

Weitere Artikel der Ausgabe 5/2015

Experimental investigation on viscosity of water-based Al2O3 and TiO2 nanofluids

Time-resolved yield stress measurement of evolving materials using a creeping sphere

A simple model for wire-reinforced polymer and rubber

An exact analytical solution for creeping Dean flow of Bingham plastics through curved rectangular ducts

A simple and accurate approximation of the inverse Langevin function

Interfacial self-adhesion of polyethylene blends: the role of long chain branching and extensional rheology

Premium Partner

Marktübersichten