Unsteady extrusion of a viscoelastic annular film II. Linearized model and its analytical solution

Journal of Non-Newtonian Fluid Mechanics

Volumn 88, Issue 3, 2000, Pages 303-325

  Housiadas, Kostas ^a   Tsamopoulos, John ^a  

^a UNIVERSITY OF PATRAS   (Greece)

Author keywords

Annular film extrusion; Oldroyd B constitutive model; Unsteady extrusion

Indexed keywords

EXTRUSION; LINEARIZATION; MATHEMATICAL MODELS; NONLINEAR EQUATIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING; REYNOLDS NUMBER; UNSTEADY FLOW; VISCOELASTICITY;

TAYLOR EXPANSION; VISCOELASTIC ANNULAR FILMS;

NON NEWTONIAN FLOW;

EXTRUSION; MATHEMATICAL ANALYSIS; REYNOLDS NUMBER; VISCOELASTIC FLOW;

EID: 0033995558     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(99)00033-6     Document Type: Article

References (13)

1. K. Housiadas, J. Tsamopoulos, Unsteady extrusion of a viscoelastic film I. General model and its numerical solution, J. Non-Newtonian Fluid Mech. 1999, in press.
2. Poslinski A.J., Tsamopoulos J.A. Nonisothermal parison inflation in blow molding. AIChE J. 36(12):1990;1837-1849.
3. Schaul J.S., Hannon M.J., Wissbrun K.F. Analysis of the factors determining parison properties in high shear rate blow molding. Trans. Soc. Rheol. 19(3):1975;351-370.
4. Housiadas K., Tsamopoulos J. Unsteady flow of an axisymmetric annular film under gravity. Phys. Fluids. 10(10):1998;2500-2516.
5. Brasseur E., Fyrillas M., Georgiou G., Crochet M. The time-dependent extrudate-swell problem of an Oldroyd-B fluid with slip along the wall. J. Rheol. 42(3):1998;549-566.
6. Mitsoulis E. Extrudate swell of newtonian fluids from annular dies. AIChE J. 32(3):1986;497-500.
7. Crochet M., Keunings R. Finite element analysis of die swell of a highly elastic fluid. J. Non-Newtonian Fluid Mech. 10:1982;339-356.
8. Schultz W.W., Davis S.H. One-dimensional liquid fibers. J. Rheol. 26(4):1982;331-345.
9. Bechtel S.E., Cao J.Z., Forest M.G. Practical application of a higher order perturbation theory for slender viscoelastic jets and fibers. J. Non-Newtonian Fluid Mech. 41:1992;201-273.
10. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. 1, 2nd ed., 1987.
11. Northey P.J., Amstrong R.C., Brown R.A. Finite element calculation of time-dependent two-dimensional viscoelastic flow with the explicitly elliptic momentum equation formulation. J. Non-Newtonian Fluid Mech. 36:1990;109-133.
12. G.I. Taylor, Instability of jets, threads and sheets of viscous fluid, in: Proc. 12th Int. Congr. of Applied Mechanics, Stanford, 1969, pp. 382-288; see also G.K. Batchelor (Ed.), The Scientific Papers of Sir Geoffrey Ingram Taylor, vol. IV, 1971, pp. 543-546.
13. G.I. Taylor, Instability of jets, threads and sheets of viscous fluid, in: Proc. 12th Int. Congr. of Applied Mechanics, Stanford, 1969, pp. 382-288; see also G.K. Batchelor (Ed.), The Scientific Papers of Sir Geoffrey Ingram Taylor, vol. IV, 1971, pp. 543-546.