Abstract
The flow of multi-mode differential model fluids through planar and axisymmetric 4:1 contractions is studied numerically, and comparison with experimental results is made when appropriate. The Phan-Thien/Tanner and the Modified Upper Convected Maxwell constitutive models are investigated. An efficient algorithm is constructed by employing discontinuous interpolants for the extra stress components and the pressure field. An operator splitting methodology is adopted to extract the advective parts of the constitutive equation. The advective parts of the constitutive equations are solved by application of a Time-Discontinuous/ Galerkin Least-Squares method. Satisfactory agreement with previous work and experimental results is obtained.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
R.C. Armstrong, R.A. Brown, L.M. Quinzani, G.H. McKinley, and J.A. Bryars. 27–32. Elsevier, Amsterdam, 1992.
F.RT. Baaijens. Comp. Meth. in Appl. Mech. and Eng., 94:285–299, 1992.
D.V. Boger, D.U. Hur, and R.J. Binnington. Jrnl of Non-Newt. Fluid Mech., 20:31–49, 1986.
P.J. Coates, R.C. Armstrong, and R.A. Brown. Jrnl of Non-Newt. Fluid Mech., 42:141–188, 1992.
S. Dupont and M. Crochet. Jrnl of Non-Newt. Fluid Mech., 29:81–91, 1988.
M. Fortin and A. Fortin. Jrnl of Non-Newt. Fluid Mech., 32:295–310, 1989.
M.A. Hülsen and J. van der Zanden. Jrnl of Non-Newt. Fluid Mech., 38:183–221, 1991.
C. Johnson. Numerical solution of partial differential equations by the finite element method. Cambridge Univerisity Press, Cambridge, 1987.
P. Lesaint and P.A. Raviart. On a finite element method for solving the neutron transport equation. Academic Press, New York, 1974.
X.L. Luo and E. Mitsoulis. Jrnl of Rheology, 34:309, 1990.
J.M. Marchai and M.J. Crochet. A new mixed finite element for calculating viscoelas-tic flow. Jrnl of Non-Newt. Fluid Mech., 26:77–114, 1987.
G.H. McKinley, W.P. Raiford, R.C. Armstrong, and R.A. Brown. Jrnl of Fluid Mech., 223:411–456, 1991.
H.J. Park and E. Mitsoulis.. Jrnl of Non-Newt. Fluid Mech., 42:301–314, 1992.
L.M. Quinzani, G.H. McKinley, R.C. Armstrong, and R.A. Brown. Jrnl of Rheology, 34:705–749, 1990.
J. Rosenberg and R. Keunings. Jrnl of Non-Newt. Fluid Mech., 39:269–290, 1991.
F. Shakib. Finite element analysis of the compressible Euler and Navier-Stokes equations. PhD thesis, Stanford University, 1987.
L.A. Ying. Computational Mechanics, 2:45–53, 1987.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1993 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Baaijens, F.P.T. (1993). Numerical Analysis of Unsteady Viscoelastic Contraction Flows of Multi-Mode Fluids. In: Dijksman, J.F., Nieuwstadt, F.T.M. (eds) Topics in Applied Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-2090-6_19
Download citation
DOI: https://doi.org/10.1007/978-94-011-2090-6_19
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-4926-9
Online ISBN: 978-94-011-2090-6
eBook Packages: Springer Book Archive