Abstract
Viscoelastic turbulence is an instability which can be observed in extrusion flows. Fig. 1 shows schematically an extruder. Flow instabilities can arise, in principle, in the entrance region upstream of the capillary, in the capillary or at the exit. In this note the stability of fully developed channel flow in a plane capillary is investigated. The spatial variation of shear velocity causes a complication of the theory which is avoided by first studying the stability of plane Couette-flow between parallel plates. Then it is shown that the same mechanism for instability, found here, is also responsible for instability of plane channel flow.
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References
A. C. Pipkin and R. D. Owen, Phys. Fluids 10 (1967), 836–843
E. Becker, will be published in Advances in Applied Mechanics 20, (1980)
M. M. Denn, Stability of reaction and transport processes, Prentice Hall, Englewood Cliffs N. J. (1975)
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Akbay, U., Becker, E., Krozer, S., Sponagel, S. (1980). About a Possible Cause of Viscoelastic Turbulence. In: Astarita, G., Marrucci, G., Nicolais, L. (eds) Rheology. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-3743-0_15
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DOI: https://doi.org/10.1007/978-1-4684-3743-0_15
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